Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey
This survey presents recent research on determining control-theoretic properties and designing controllers with rigorous guarantees using semidefinite programming and for nonlinear systems for which no mathematical models but measured trajectories are available. Data-driven control techniques have b...
Saved in:
| Published in: | Annual reviews in control Vol. 56; p. 100911 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
|
| Subjects: | |
| ISSN: | 1367-5788, 1872-9088 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This survey presents recent research on determining control-theoretic properties and designing controllers with rigorous guarantees using semidefinite programming and for nonlinear systems for which no mathematical models but measured trajectories are available. Data-driven control techniques have been developed to circumvent a time-consuming modelling by first principles and because of the increasing availability of data. Recently, this research field has gained increased attention by the application of Willems' fundamental lemma, which provides a fertile ground for the development of data-driven control schemes with guarantees for linear time-invariant systems. While the fundamental lemma can be generalized to further system classes, there does not exist a comparable data-based system representation for nonlinear systems. At the same time, nonlinear systems constitute the majority of practical systems. Moreover, they include additional challenges such as data-based surrogate models that prevent system analysis and controller design by convex optimization. Therefore, a variety of data-driven control approaches has been developed with different required prior insights into the system to ensure a guaranteed inference. In this survey, we will discuss developments in the context of data-driven control for nonlinear systems. In particular, we will focus on methods based on system representations providing guarantees from finite data, while the analysis and the controller design boil down to convex optimization problems given as semidefinite programming. Thus, these approaches achieve reasonable advances compared to the state-of-the-art system analysis and controller design by models from system identification. Specifically, the paper covers system representations based on extensions of Willems' fundamental lemma, set membership, kernel techniques, the Koopman operator, and feedback linearization. |
|---|---|
| AbstractList | This survey presents recent research on determining control-theoretic properties and designing controllers with rigorous guarantees using semidefinite programming and for nonlinear systems for which no mathematical models but measured trajectories are available. Data-driven control techniques have been developed to circumvent a time-consuming modelling by first principles and because of the increasing availability of data. Recently, this research field has gained increased attention by the application of Willems' fundamental lemma, which provides a fertile ground for the development of data-driven control schemes with guarantees for linear time-invariant systems. While the fundamental lemma can be generalized to further system classes, there does not exist a comparable data-based system representation for nonlinear systems. At the same time, nonlinear systems constitute the majority of practical systems. Moreover, they include additional challenges such as data-based surrogate models that prevent system analysis and controller design by convex optimization. Therefore, a variety of data-driven control approaches has been developed with different required prior insights into the system to ensure a guaranteed inference. In this survey, we will discuss developments in the context of data-driven control for nonlinear systems. In particular, we will focus on methods based on system representations providing guarantees from finite data, while the analysis and the controller design boil down to convex optimization problems given as semidefinite programming. Thus, these approaches achieve reasonable advances compared to the state-of-the-art system analysis and controller design by models from system identification. Specifically, the paper covers system representations based on extensions of Willems' fundamental lemma, set membership, kernel techniques, the Koopman operator, and feedback linearization. |
| ArticleNumber | 100911 |
| Author | Schön, Thomas B. Martin, Tim Allgöwer, Frank |
| Author_xml | – sequence: 1 givenname: Tim orcidid: 0000-0002-4770-5361 surname: Martin fullname: Martin, Tim – sequence: 2 givenname: Thomas B. surname: Schön fullname: Schön, Thomas B. – sequence: 3 givenname: Frank surname: Allgöwer fullname: Allgöwer, Frank |
| BackLink | https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-521220$$DView record from Swedish Publication Index (Uppsala universitet) |
| BookMark | eNqFkM1KAzEQx3OoYFt9BvMAbk2y3S_BQ6lahYIX9Rpns5OSspuUJFvp27ul6sGLp4GZ_wfzm5CRdRYJueJsxhnPb7Yz8MrZ6F07E0ykw5ZVnI_ImKd5kWRFWZ6TSQhbxpgQPBuTj1UPHmxEDFQ7TxuIkDTe7NHS7yTqNB16WmMRPA2HELELtA_GbmjAzjSojTUR6c67jYeuGw63dEFD7_d4uCBnGtqAl99zSt4eH16XT8n6ZfW8XKwTlWYiJhXoitWqxrJkoObzRvG0yXQDjFciy1mF0IgU6hQVFiByoYuClWwwl1laD3NKrk-54RN3fS133nTgD9KBkffmfSGd38i-l5ngQrBBfneSK-9C8KilMhGiOb4MppWcySNRuZW_ROWRqDwRHfzFH_9P4X_OL-NahvI |
| CitedBy_id | crossref_primary_10_1016_j_ejcon_2025_101286 crossref_primary_10_1016_j_ejcon_2025_101385 crossref_primary_10_1016_j_ejcon_2025_101367 crossref_primary_10_1016_j_ejcon_2025_101302 crossref_primary_10_1016_j_ifacol_2024_10_216 crossref_primary_10_1109_LCSYS_2024_3415498 crossref_primary_10_1016_j_ejcon_2025_101307 crossref_primary_10_1002_rnc_70185 crossref_primary_10_1515_auto_2025_0037 crossref_primary_10_1016_j_sysconle_2025_106079 crossref_primary_10_1016_j_apenergy_2025_125456 crossref_primary_10_1134_S1064230724700655 crossref_primary_10_1109_LCSYS_2025_3582630 crossref_primary_10_1109_TIV_2024_3446571 crossref_primary_10_1109_LCSYS_2025_3580035 crossref_primary_10_1109_TCYB_2025_3544257 crossref_primary_10_1146_annurev_control_030323_024328 crossref_primary_10_1109_TCST_2025_3541179 crossref_primary_10_1109_LCSYS_2024_3519017 crossref_primary_10_1016_j_ejcon_2025_101373 crossref_primary_10_1109_ACCESS_2024_3520735 crossref_primary_10_1002_rnc_70139 crossref_primary_10_1515_auto_2024_0162 crossref_primary_10_1109_TAC_2024_3425770 crossref_primary_10_3390_machines12050319 crossref_primary_10_1016_j_ejcon_2025_101260 crossref_primary_10_1109_LCSYS_2024_3410888 crossref_primary_10_1109_TAC_2025_3553073 crossref_primary_10_1109_LCSYS_2024_3509813 crossref_primary_10_1109_LCSYS_2024_3521645 |
| Cites_doi | 10.1109/TAC.2021.3116179 10.1016/S0005-1098(00)00176-X 10.1016/j.ejcon.2022.100670 10.1080/00207179.2013.840053 10.1007/BF02546499 10.1016/j.automatica.2021.109896 10.1109/LCSYS.2020.3037842 10.1109/TAC.2022.3209342 10.1109/TAC.2019.2959924 10.1109/TAC.1986.1104259 10.1007/s00332-017-9423-0 10.1016/j.automatica.2004.08.019 10.1512/iumj.1993.42.42045 10.1016/j.automatica.2021.109906 10.1146/annurev-control-090419-075625 10.1109/TAC.2022.3166851 10.1016/j.sysconle.2022.105206 10.1007/BF00276493 10.1109/9.587340 10.1016/j.sysconle.2004.09.003 10.1016/j.physd.2013.06.004 10.1109/37.710876 10.1109/LCSYS.2020.3003505 10.1109/LRA.2019.2896728 10.1016/j.ins.2012.07.014 10.1371/journal.pone.0150171 10.1016/S0005-1098(02)00032-8 10.1016/j.sysconle.2020.104788 10.1016/j.automatica.2021.110114 10.1016/j.arcontrol.2010.03.001 10.1109/LCSYS.2019.2917162 10.1109/TAC.2023.3249289 10.1016/S0167-6911(00)00087-6 10.1016/j.automatica.2022.110537 10.1109/TAC.2021.3137788 10.1109/LCSYS.2022.3227182 10.1109/TAC.2020.3047577 10.1016/j.arcontrol.2021.09.002 10.1007/BF03177515 10.1137/18M1216572 10.1007/s00332-022-09862-1 10.1109/LCSYS.2022.3229004 10.1038/s41467-018-07210-0 10.1016/j.automatica.2013.01.002 10.1109/TAC.2022.3227907 10.1080/00207170801942170 10.1073/pnas.17.5.315 10.1016/j.arcontrol.2009.07.001 10.1109/TAC.2022.3146726 10.1002/aic.16666 10.1016/j.automatica.2004.02.002 10.1016/j.automatica.2018.03.046 10.1109/LCSYS.2018.2841961 10.1109/TAC.1979.1102164 10.1007/s11071-005-2824-x 10.1109/TAC.2020.2966717 10.1109/LCSYS.2022.3164983 10.1109/TAC.2022.3226652 10.1137/1038003 10.1016/j.jprocont.2014.01.015 10.1109/TAC.2020.3000182 10.1109/TAC.2023.3234889 10.1115/1.4019264 10.1016/j.arcontrol.2021.09.005 10.1109/LCSYS.2021.3071177 10.1007/s10107-005-0684-2 10.1016/j.automatica.2016.09.032 10.1109/TAC.2021.3115436 |
| ContentType | Journal Article |
| DBID | AAYXX CITATION ADTPV AOWAS DF2 |
| DOI | 10.1016/j.arcontrol.2023.100911 |
| DatabaseName | CrossRef SwePub SwePub Articles SWEPUB Uppsala universitet |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science |
| ExternalDocumentID | oai_DiVA_org_uu_521220 10_1016_j_arcontrol_2023_100911 |
| GroupedDBID | --K --M .DC .~1 0R~ 1B1 1~. 1~5 23M 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9DU AAEDT AAEDW AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AATTM AAXKI AAXUO AAYWO AAYXX ABJNI ABMAC ABWVN ABXDB ACDAQ ACGFS ACLOT ACNNM ACRLP ACRPL ACVFH ADBBV ADCNI ADEZE ADMUD ADNMO ADTZH AEBSH AECPX AEIPS AEKER AENEX AEUPX AFJKZ AFPUW AFTJW AGHFR AGQPQ AGUBO AGYEJ AHJVU AIEXJ AIGII AIIUN AIKHN AITUG AKBMS AKRWK AKYEP ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU APXCP ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CITATION CS3 EBS EFJIC EFKBS EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FGOYB FIRID FNPLU FYGXN G-Q GBLVA HZ~ IHE J1W JJJVA KOM M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SST SSZ T5K T9H UHS XPP ~G- ~HD ADTPV AOWAS DF2 |
| ID | FETCH-LOGICAL-c352t-9af90bcbe880ac44dc13d5fda01925609ead23ab3ece7a262f77080c35853b0c3 |
| ISICitedReferencesCount | 32 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001138794700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1367-5788 1872-9088 |
| IngestDate | Tue Nov 04 16:26:13 EST 2025 Sat Nov 29 07:04:00 EST 2025 Tue Nov 18 22:28:43 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c352t-9af90bcbe880ac44dc13d5fda01925609ead23ab3ece7a262f77080c35853b0c3 |
| ORCID | 0000-0002-4770-5361 |
| ParticipantIDs | swepub_primary_oai_DiVA_org_uu_521220 crossref_citationtrail_10_1016_j_arcontrol_2023_100911 crossref_primary_10_1016_j_arcontrol_2023_100911 |
| PublicationCentury | 2000 |
| PublicationDate | 2023-00-00 2023 |
| PublicationDateYYYYMMDD | 2023-01-01 |
| PublicationDate_xml | – year: 2023 text: 2023-00-00 |
| PublicationDecade | 2020 |
| PublicationTitle | Annual reviews in control |
| PublicationYear | 2023 |
| References | Berberich (10.1016/j.arcontrol.2023.100911_b14) 2022; 67 Xue (10.1016/j.arcontrol.2023.100911_b155) 2021 Berkenkamp (10.1016/j.arcontrol.2023.100911_b16) 2016 Guo (10.1016/j.arcontrol.2023.100911_b59) 2022; 67 Willems (10.1016/j.arcontrol.2023.100911_b153) 1972; 45 Umenberger (10.1016/j.arcontrol.2023.100911_b141) 2019 Nüske (10.1016/j.arcontrol.2023.100911_b116) 2023; 33 Verhoek (10.1016/j.arcontrol.2023.100911_b149) 2023 Amini (10.1016/j.arcontrol.2023.100911_b7) 2021 Martin (10.1016/j.arcontrol.2023.100911_b97) 2023 Yin (10.1016/j.arcontrol.2023.100911_b157) 2021; 68 Bruder (10.1016/j.arcontrol.2023.100911_b26) 2019 Levine (10.1016/j.arcontrol.2023.100911_b83) 2009 Forni (10.1016/j.arcontrol.2023.100911_b56) 2013 Markovsky (10.1016/j.arcontrol.2023.100911_b91) 2021; 52 Alsalti (10.1016/j.arcontrol.2023.100911_b6) 2023 Apostol (10.1016/j.arcontrol.2023.100911_b8) 1974 Campi (10.1016/j.arcontrol.2023.100911_b30) 2002; 38 Bisoffi (10.1016/j.arcontrol.2023.100911_b21) 2020; 145 Hu (10.1016/j.arcontrol.2023.100911_b67) 2023 Ziegler (10.1016/j.arcontrol.2023.100911_b162) 1942; 64 Alsalti (10.1016/j.arcontrol.2023.100911_b3) 2022 Martin (10.1016/j.arcontrol.2023.100911_b96) 2022; 68 Zhang (10.1016/j.arcontrol.2023.100911_b159) 2022; 137 Berberich (10.1016/j.arcontrol.2023.100911_b12) 2020 Hou (10.1016/j.arcontrol.2023.100911_b66) 2013; 235 Kamb (10.1016/j.arcontrol.2023.100911_b71) 2020; 19 Verhoek (10.1016/j.arcontrol.2023.100911_b151) 2022 Montenbruck (10.1016/j.arcontrol.2023.100911_b110) 2016 Markovsky (10.1016/j.arcontrol.2023.100911_b90) 2023; 68 Korda (10.1016/j.arcontrol.2023.100911_b78) 2018; 93 Bachnas (10.1016/j.arcontrol.2023.100911_b11) 2014; 24 Brunton (10.1016/j.arcontrol.2023.100911_b27) 2016; 11 Mayne (10.1016/j.arcontrol.2023.100911_b102) 2005; 41 Bishop (10.1016/j.arcontrol.2023.100911_b20) 2006 Hjalmarsson (10.1016/j.arcontrol.2023.100911_b65) 1998; 18 Sznaier (10.1016/j.arcontrol.2023.100911_b136) 2021 Rasmussen (10.1016/j.arcontrol.2023.100911_b120) 2006 Scherer (10.1016/j.arcontrol.2023.100911_b128) 2006; 107 Chesi (10.1016/j.arcontrol.2023.100911_b38) 2009 Nelles (10.1016/j.arcontrol.2023.100911_b112) 2021 Ljung (10.1016/j.arcontrol.2023.100911_b84) 1999 Verhoek (10.1016/j.arcontrol.2023.100911_b150) 2023 Martin (10.1016/j.arcontrol.2023.100911_b98) 2023 Romer (10.1016/j.arcontrol.2023.100911_b121) 2019; 3 Alsalti (10.1016/j.arcontrol.2023.100911_b4) 2023 Willems (10.1016/j.arcontrol.2023.100911_b154) 2005; 54 Fogel (10.1016/j.arcontrol.2023.100911_b54) 1979; 24 Guo (10.1016/j.arcontrol.2023.100911_b60) 2022 Lederer (10.1016/j.arcontrol.2023.100911_b82) 2019 Sauer (10.1016/j.arcontrol.2023.100911_b125) 1995; 4 Lavaei (10.1016/j.arcontrol.2023.100911_b81) 2022 Caverly (10.1016/j.arcontrol.2023.100911_b33) 2019 Yi (10.1016/j.arcontrol.2023.100911_b156) 2021 Bramburger (10.1016/j.arcontrol.2023.100911_b25) 2023 Carleman (10.1016/j.arcontrol.2023.100911_b32) 1932; 59 Scherer (10.1016/j.arcontrol.2023.100911_b129) 2000 Strässer (10.1016/j.arcontrol.2023.100911_b134) 2023 Capone (10.1016/j.arcontrol.2023.100911_b31) 2022 Strogatz (10.1016/j.arcontrol.2023.100911_b135) 2014 Favoreel (10.1016/j.arcontrol.2023.100911_b51) 1999 Martin (10.1016/j.arcontrol.2023.100911_b94) 2021; 5 Tóth (10.1016/j.arcontrol.2023.100911_b140) 2010 Formentin (10.1016/j.arcontrol.2023.100911_b55) 2011 Vandenberghe (10.1016/j.arcontrol.2023.100911_b146) 1996; 38 Hilhorst (10.1016/j.arcontrol.2023.100911_b64) 2016 Sinha (10.1016/j.arcontrol.2023.100911_b130) 2022 Çimen (10.1016/j.arcontrol.2023.100911_b40) 2010; 34 Campi (10.1016/j.arcontrol.2023.100911_b29) 2009; 33 Min (10.1016/j.arcontrol.2023.100911_b108) 2023 Zheng (10.1016/j.arcontrol.2023.100911_b160) 2019 Astolfi (10.1016/j.arcontrol.2023.100911_b9) 2014 Yuan (10.1016/j.arcontrol.2023.100911_b158) 2022; 6 Scharnhorst (10.1016/j.arcontrol.2023.100911_b126) 2023; 68 Strässer (10.1016/j.arcontrol.2023.100911_b133) 2023 Koch (10.1016/j.arcontrol.2023.100911_b75) 2021; 134 Korda (10.1016/j.arcontrol.2023.100911_b79) 2018; 28 Alsalti (10.1016/j.arcontrol.2023.100911_b5) 2023 Berkenkamp (10.1016/j.arcontrol.2023.100911_b18) 2017 Kanagawa (10.1016/j.arcontrol.2023.100911_b72) 2018 Romer (10.1016/j.arcontrol.2023.100911_b122) 2019 Bold (10.1016/j.arcontrol.2023.100911_b23) 2023 Steinwart (10.1016/j.arcontrol.2023.100911_b131) 2008 Chowdhury (10.1016/j.arcontrol.2023.100911_b39) 2017 Koch (10.1016/j.arcontrol.2023.100911_b74) 2022; 67 Devonport (10.1016/j.arcontrol.2023.100911_b48) 2020 Mauroy (10.1016/j.arcontrol.2023.100911_b100) 2013; 261 Umlauft (10.1016/j.arcontrol.2023.100911_b142) 2018; 2 Martin (10.1016/j.arcontrol.2023.100911_b93) 2020 De Persis (10.1016/j.arcontrol.2023.100911_b47) 2021; 54 Bradtke (10.1016/j.arcontrol.2023.100911_b24) 1992 Koelewijn (10.1016/j.arcontrol.2023.100911_b76) 2020 Dörfler (10.1016/j.arcontrol.2023.100911_b50) 2022 Verhoek (10.1016/j.arcontrol.2023.100911_b152) 2021 Bevanda (10.1016/j.arcontrol.2023.100911_b19) 2021; 52 Luppi (10.1016/j.arcontrol.2023.100911_b86) 2022; 163 Monaco (10.1016/j.arcontrol.2023.100911_b109) 1987 Cheah (10.1016/j.arcontrol.2023.100911_b35) 2023; 7 Rotondo (10.1016/j.arcontrol.2023.100911_b123) 2022; 68 Dai (10.1016/j.arcontrol.2023.100911_b43) 2021; 5 Markovsky (10.1016/j.arcontrol.2023.100911_b92) 2008; 81 Khalil (10.1016/j.arcontrol.2023.100911_b73) 2002 Helwa (10.1016/j.arcontrol.2023.100911_b62) 2019; 4 Oymak (10.1016/j.arcontrol.2023.100911_b117) 2019 De Persis (10.1016/j.arcontrol.2023.100911_b45) 2022; 68 Lasserre (10.1016/j.arcontrol.2023.100911_b80) 2000; 331 Isidori (10.1016/j.arcontrol.2023.100911_b68) 1995 Strässer (10.1016/j.arcontrol.2023.100911_b132) 2021 Zheng (10.1016/j.arcontrol.2023.100911_b161) 2023 Koopman (10.1016/j.arcontrol.2023.100911_b77) 1931; 17 Berkenkamp (10.1016/j.arcontrol.2023.100911_b17) 2015 Dai (10.1016/j.arcontrol.2023.100911_b42) 2021 Cetinkaya (10.1016/j.arcontrol.2023.100911_b34) 2021 De Persis (10.1016/j.arcontrol.2023.100911_b44) 2023 Chernyshenko (10.1016/j.arcontrol.2023.100911_b37) 2014; 372 De Persis (10.1016/j.arcontrol.2023.100911_b46) 2020; 65 Jidling (10.1016/j.arcontrol.2023.100911_b69) 2017 Maupong (10.1016/j.arcontrol.2023.100911_b99) 2017 Tiwari (10.1016/j.arcontrol.2023.100911_b139) 2023 Lusch (10.1016/j.arcontrol.2023.100911_b87) 2018; 9 Nguyen (10.1016/j.arcontrol.2023.100911_b113) 2023 Majumdar (10.1016/j.arcontrol.2023.100911_b89) 2013 Narendra (10.1016/j.arcontrol.2023.100911_b111) 1986; 31 Luppi (10.1016/j.arcontrol.2023.100911_b85) 2021 Safonov (10.1016/j.arcontrol.2023.100911_b124) 1997; 42 Rantzer (10.1016/j.arcontrol.2023.100911_b119) 2001; 42 Freeman (10.1016/j.arcontrol.2023.100911_b57) 1996 Mejari (10.1016/j.arcontrol.2023.100911_b103) 2023 Miller (10.1016/j.arcontrol.2023.100911_b106) 2022 Scherer (10.1016/j.arcontrol.2023.100911_b127) 2001; 37 van Waarde (10.1016/j.arcontrol.2023.100911_b144) 2023 Kaiser (10.1016/j.arcontrol.2023.100911_b70) 2021; 2 Fiedler (10.1016/j.arcontrol.2023.100911_b53) 2021 Milanese (10.1016/j.arcontrol.2023.100911_b105) 2004; 40 Martin (10.1016/j.arcontrol.2023.100911_b95) 2022 Calliess (10.1016/j.arcontrol.2023.100911_b28) 2014 Coulson (10.1016/j.arcontrol.2023.100911_b41) 2019 van Waarde (10.1016/j.arcontrol.2023.100911_b143) 2022; 67 Verhoek (10.1016/j.arcontrol.2023.100911_b147) 2022 Hewing (10.1016/j.arcontrol.2023.100911_b63) 2020; 3 Fiedler (10.1016/j.arcontrol.2023.100911_b52) 2021; 35 Abudia (10.1016/j.arcontrol.2023.100911_b1) 2022 Mauroy (10.1016/j.arcontrol.2023.100911_b101) 2020 Novara (10.1016/j.arcontrol.2023.100911_b115) 2013; 49 Cheng (10.1016/j.arcontrol.2023.100911_b36) 2015 Miller (10.1016/j.arcontrol.2023.100911_b107) 2023; 7 Bisoffi (10.1016/j.arcontrol.2023.100911_b22) 2022; 145 Diwold (10.1016/j.arcontrol.2023.100911_b49) 2022; 6 Putinar (10.1016/j.arcontrol.2023.100911_b118) 1993; 42 Berberich (10.1016/j.arcontrol.2023.100911_b15) 2022; 68 Tanaskovic (10.1016/j.arcontrol.2023.100911_b137) 2017; 75 Åström (10.1016/j.arcontrol.2023.100911_b10) 1989 Maddalena (10.1016/j.arcontrol.2023.100911_b88) 2021; 134 van Waarde (10.1016/j.arcontrol.2023.100911_b145) 2020; 65 Hashemian (10.1016/j.arcontrol.2023.100911_b61) 2019; 65 Berberich (10.1016/j.arcontrol.2023.100911_b13) 2021; 66 Nortmann (10.1016/j.arcontrol.2023.100911_b114) 2020 Verhoek (10.1016/j.arcontrol.2023.100911_b148) 2021; 54 Taylor (10.1016/j.arcontrol.2023.100911_b138) 2021 Garnier (10.1016/j.arcontrol.2023.100911_b58) 2014; 87 Mezić (10.1016/j.arcontrol.2023.100911_b104) 2005; 41 Alsalti (10.1016/j.arcontrol.2023.100911_b2) 2021 |
| References_xml | – start-page: 6580 year: 2013 ident: 10.1016/j.arcontrol.2023.100911_b56 article-title: On differential passivity of physical systems – volume: 67 start-page: 4248 issue: 8 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b74 article-title: Provably robust verification of dissipativity properties from data publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2021.3116179 – year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b106 – start-page: 979 year: 1987 ident: 10.1016/j.arcontrol.2023.100911_b109 article-title: Minimum-phase nonlinear discrete-time systems and feedback stabilization – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b98 article-title: Gaussian inference for data-driven state-feedback design of nonlinear systems – volume: 37 start-page: 361 issue: 3 year: 2001 ident: 10.1016/j.arcontrol.2023.100911_b127 article-title: LPV control and full block multipliers publication-title: Automatica doi: 10.1016/S0005-1098(00)00176-X – volume: 68 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b123 article-title: Towards a Taylor-Carleman bilinearization approach for the design of nonlinear state-feedback controllers publication-title: European Journal of Control doi: 10.1016/j.ejcon.2022.100670 – volume: 87 start-page: 1319 issue: 7 year: 2014 ident: 10.1016/j.arcontrol.2023.100911_b58 article-title: The advantages of directly identifying continuous-time transfer function models in practical applications publication-title: International Journal of Control doi: 10.1080/00207179.2013.840053 – volume: 59 start-page: 63 year: 1932 ident: 10.1016/j.arcontrol.2023.100911_b32 article-title: Application de la théorie des équations intégrales linéaires aux systémes d’équations différentielles non linéaires publication-title: Acta Mathematica doi: 10.1007/BF02546499 – year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b147 – year: 1992 ident: 10.1016/j.arcontrol.2023.100911_b24 article-title: Reinforcement learning applied to linear quadratic regulation – start-page: 6244 year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b26 article-title: Nonlinear system identification of soft robot dynamics using Koopman operator theory – start-page: 3372 year: 1999 ident: 10.1016/j.arcontrol.2023.100911_b51 article-title: Model-free subspace-based LQG-design – volume: 134 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b88 article-title: Deterministic error bounds for kernel-based learning techniques under bounded noise publication-title: Automatica doi: 10.1016/j.automatica.2021.109896 – volume: 5 start-page: 1399 issue: 4 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b94 article-title: Dissipativity verification with guarantees for polynomial systems from noisy input-state data publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2020.3037842 – year: 2014 ident: 10.1016/j.arcontrol.2023.100911_b135 – volume: 68 start-page: 4618 issue: 8 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b15 article-title: Combining prior knowledge and data for robust controller design publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2022.3209342 – volume: 65 start-page: 909 issue: 3 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b46 article-title: Formulas for data-driven control: Stabilization, optimality and robustness publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2019.2959924 – volume: 31 start-page: 306 issue: 4 year: 1986 ident: 10.1016/j.arcontrol.2023.100911_b111 article-title: Robust adaptive control in the presence of bounded disturbances publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.1986.1104259 – year: 2018 ident: 10.1016/j.arcontrol.2023.100911_b72 – volume: 28 start-page: 687 year: 2018 ident: 10.1016/j.arcontrol.2023.100911_b79 article-title: On convergence of extended dynamic mode decomposition to the Koopman operator publication-title: Journal of Nonlinear Science doi: 10.1007/s00332-017-9423-0 – volume: 41 start-page: 219 issue: 2 year: 2005 ident: 10.1016/j.arcontrol.2023.100911_b102 article-title: Robust model predictive control of constrained linear systems with bounded disturbances publication-title: Automatica doi: 10.1016/j.automatica.2004.08.019 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b113 – volume: 42 start-page: 969 year: 1993 ident: 10.1016/j.arcontrol.2023.100911_b118 article-title: Positive polynomials on compact semi-algebraic sets publication-title: Indiana University Mathematics Journal doi: 10.1512/iumj.1993.42.42045 – volume: 134 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b75 article-title: Determining optimal input–output properties: A data-driven approach publication-title: Automatica doi: 10.1016/j.automatica.2021.109906 – start-page: 1573 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b76 article-title: Pitfalls of guaranteeing asymptotic stability in LPV control of nonlinear systems – year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b1 – volume: 3 start-page: 269 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b63 article-title: Learning-based model predictive control: Toward safe learning in control publication-title: Annual Review of Control, Robotics, and Autonomous Systems doi: 10.1146/annurev-control-090419-075625 – volume: 67 start-page: 4406 issue: 9 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b14 article-title: Linear tracking MPC for nonlinear systems—Part II: The data-driven case publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2022.3166851 – start-page: 1 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b155 article-title: Data-driven system level synthesis – volume: 163 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b86 article-title: On data-driven stabilization of systems with nonlinearities satisfying quadratic constraints publication-title: Systems & Control Letters doi: 10.1016/j.sysconle.2022.105206 – start-page: 5655 year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b117 article-title: Non-asymptotic identification of LTI systems from a single trajectory – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b134 – start-page: 1337 year: 2015 ident: 10.1016/j.arcontrol.2023.100911_b36 article-title: Robust superstabilizing controller design from open-loop experimental – volume: 45 start-page: 321 year: 1972 ident: 10.1016/j.arcontrol.2023.100911_b153 article-title: Dissipative dynamical systems part I: General theory publication-title: Archive for Rational Mechanics and Analysis doi: 10.1007/BF00276493 – start-page: 5122 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b53 article-title: Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guarantees – start-page: 1365 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b12 article-title: A trajectory-based framework for data-driven system analysis and control – year: 1989 ident: 10.1016/j.arcontrol.2023.100911_b10 – start-page: 4661 year: 2016 ident: 10.1016/j.arcontrol.2023.100911_b16 article-title: Safe learning of regions of attraction for uncertain, nonlinear systems with Gaussian processes – start-page: 1 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b136 article-title: A data driven, convex optimization approach to learning koopman operators – volume: 42 start-page: 843 issue: 6 year: 1997 ident: 10.1016/j.arcontrol.2023.100911_b124 article-title: The unfalsified control concept and learning publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.587340 – year: 2006 ident: 10.1016/j.arcontrol.2023.100911_b120 – year: 2010 ident: 10.1016/j.arcontrol.2023.100911_b140 – volume: 54 start-page: 325 issue: 4 year: 2005 ident: 10.1016/j.arcontrol.2023.100911_b154 article-title: A note on persistency of excitation publication-title: Systems & Control Letters doi: 10.1016/j.sysconle.2004.09.003 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b23 – start-page: 3159 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b48 article-title: Bayesian safe learning and control with sum-of-squares analysis and polynomial kernels – volume: 261 start-page: 19 year: 2013 ident: 10.1016/j.arcontrol.2023.100911_b100 article-title: Isostables, isochrons, and koopman spectrum for the action–angle representation of stable fixed point dynamics publication-title: Physica D: Nonlinear Phenomena doi: 10.1016/j.physd.2013.06.004 – volume: 18 start-page: 26 issue: 4 year: 1998 ident: 10.1016/j.arcontrol.2023.100911_b65 article-title: Iterative feedback tuning: theory and applications publication-title: IEEE Control Systems Magazine doi: 10.1109/37.710876 – year: 2002 ident: 10.1016/j.arcontrol.2023.100911_b73 – volume: 331 start-page: 929 issue: 11 year: 2000 ident: 10.1016/j.arcontrol.2023.100911_b80 article-title: Optimisation globale et théorie des moments publication-title: Comptes Rendus de l’Académie des Sciences - Series I - Mathematics – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b97 article-title: Data-driven system analysis of nonlinear systems using polynomial approximation publication-title: IEEE Transactions on Automatic Control – start-page: 2496 year: 2015 ident: 10.1016/j.arcontrol.2023.100911_b17 article-title: Safe and robust learning control with Gaussian processes – year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b33 – volume: 5 start-page: 487 issue: 2 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b43 article-title: A semi-algebraic optimization approach to data-driven control of continuous-time nonlinear systems publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2020.3003505 – volume: 35 start-page: 7439 issue: 8 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b52 article-title: Practical and rigorous uncertainty bounds for Gaussian process regression – year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b141 article-title: Robust exploration in linear quadratic reinforcement learning – year: 2006 ident: 10.1016/j.arcontrol.2023.100911_b20 – year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b82 article-title: Uniform error bounds for Gaussian process regression with application to safe control – volume: 4 start-page: 1587 issue: 2 year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b62 article-title: Provably robust learning-based approach for high-accuracy tracking control of Lagrangian systems publication-title: IEEE Robotics and Automation Letters doi: 10.1109/LRA.2019.2896728 – volume: 235 start-page: 3 year: 2013 ident: 10.1016/j.arcontrol.2023.100911_b66 article-title: From model-based control to data-driven control: Survey, classification and perspective publication-title: Information Sciences doi: 10.1016/j.ins.2012.07.014 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b161 – start-page: 4054 year: 2013 ident: 10.1016/j.arcontrol.2023.100911_b89 article-title: Control design along trajectories with sums of squares programming – volume: 11 issue: 2 year: 2016 ident: 10.1016/j.arcontrol.2023.100911_b27 article-title: Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control publication-title: PLoS One doi: 10.1371/journal.pone.0150171 – year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b160 – volume: 38 start-page: 1337 issue: 8 year: 2002 ident: 10.1016/j.arcontrol.2023.100911_b30 article-title: Virtual reference feedback tuning: a direct method for the design of feedback controllers publication-title: Automatica doi: 10.1016/S0005-1098(02)00032-8 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b25 – year: 1995 ident: 10.1016/j.arcontrol.2023.100911_b68 – year: 2017 ident: 10.1016/j.arcontrol.2023.100911_b18 article-title: Safe model-based reinforcement learning with stability guarantees – year: 1999 ident: 10.1016/j.arcontrol.2023.100911_b84 – start-page: 5040 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b152 article-title: Fundamental lemma for data-driven analysis of linear parameter-varying systems – volume: 145 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b21 article-title: Data-based stabilization of unknown bilinear systems with guaranteed basin of attraction publication-title: Systems & Control Letters doi: 10.1016/j.sysconle.2020.104788 – volume: 137 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b159 article-title: Robust tube-based model predictive control with Koopman operators publication-title: Automatica doi: 10.1016/j.automatica.2021.110114 – volume: 34 start-page: 32 issue: 1 year: 2010 ident: 10.1016/j.arcontrol.2023.100911_b40 article-title: Systematic and effective design of nonlinear feedback controllers via the state-dependent Riccati equation (SDRE) method publication-title: Annual Reviews in Control doi: 10.1016/j.arcontrol.2010.03.001 – year: 2014 ident: 10.1016/j.arcontrol.2023.100911_b28 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b149 – volume: 3 start-page: 709 issue: 3 year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b121 article-title: One-shot verification of dissipativity properties from input–output data publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2019.2917162 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b103 – year: 2000 ident: 10.1016/j.arcontrol.2023.100911_b129 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b4 article-title: Data-based control of feedback linearizable systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2023.3249289 – year: 2017 ident: 10.1016/j.arcontrol.2023.100911_b39 article-title: On kernelized multi-armed bandits – volume: 42 start-page: 161 issue: 3 year: 2001 ident: 10.1016/j.arcontrol.2023.100911_b119 article-title: A dual to Lyapunov’s stability theorem publication-title: Systems & Control Letters doi: 10.1016/S0167-6911(00)00087-6 – volume: 145 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b22 article-title: Data-driven control via Petersen’s lemma publication-title: Automatica doi: 10.1016/j.automatica.2022.110537 – volume: 68 start-page: 317 issue: 1 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b157 article-title: Maximum likelihood estimation in data-driven modeling and control publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2021.3137788 – year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b31 article-title: Gaussian process uniform error bounds with unknown hyperparameters for safety-critical applications – volume: 7 start-page: 835 year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b107 article-title: Data-driven gain scheduling control of linear parameter-varying systems using quadratic matrix inequalities publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2022.3227182 – start-page: 552 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b130 article-title: Data-driven stabilization of discrete-time control-affine nonlinear systems: A Koopman operator approach – volume: 67 start-page: 162 issue: 1 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b143 article-title: From noisy data to feedback controllers: Nonconservative design via a matrix S-lemma publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2020.3047577 – volume: 52 start-page: 197 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b19 article-title: Koopman operator dynamical models: Learning, analysis and control publication-title: Annual Reviews in Control doi: 10.1016/j.arcontrol.2021.09.002 – volume: 4 start-page: 207 year: 1995 ident: 10.1016/j.arcontrol.2023.100911_b125 article-title: On multivariate Hermite interpolation publication-title: Advances in Computational Mathematics doi: 10.1007/BF03177515 – volume: 19 start-page: 886 issue: 2 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b71 article-title: Time-delay observables for Koopman: Theory and applications publication-title: SIAM Journal on Applied Dynamical Systems doi: 10.1137/18M1216572 – volume: 33 start-page: 14 year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b116 article-title: Finite-data error bounds for koopman-based prediction and control publication-title: Journal of Nonlinear Science doi: 10.1007/s00332-022-09862-1 – year: 2008 ident: 10.1016/j.arcontrol.2023.100911_b131 – volume: 54 start-page: 285 issue: 9 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b47 article-title: Designing experiments for data-driven control of nonlinear systems – start-page: 6525 year: 2016 ident: 10.1016/j.arcontrol.2023.100911_b110 article-title: Some problems arising in controller design from big data via input-output methods – volume: 7 start-page: 931 year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b35 article-title: Robust local stabilization of nonlinear systems with controller-dependent norm bounds: A convex approach with input-output sampling publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2022.3229004 – start-page: 1091 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b50 article-title: On the role of regularization in direct data-driven LQR control – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b150 – year: 2014 ident: 10.1016/j.arcontrol.2023.100911_b9 – start-page: 7296 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b81 article-title: Data-driven stability verification of homogeneous nonlinear systems with unknown dynamics – volume: 9 start-page: 4950 year: 2018 ident: 10.1016/j.arcontrol.2023.100911_b87 article-title: Deep learning for universal linear embeddings of nonlinear dynamics publication-title: Nature Communications doi: 10.1038/s41467-018-07210-0 – volume: 49 start-page: 849 issue: 4 year: 2013 ident: 10.1016/j.arcontrol.2023.100911_b115 article-title: Direct feedback control design for nonlinear systems publication-title: Automatica doi: 10.1016/j.automatica.2013.01.002 – volume: 68 start-page: 2848 issue: 5 year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b126 article-title: Robust uncertainty bounds in reproducing kernel hilbert spaces: A convex optimization approach publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2022.3227907 – volume: 81 start-page: 1946 issue: 12 year: 2008 ident: 10.1016/j.arcontrol.2023.100911_b92 article-title: Data-driven simulation and control publication-title: International Journal of Control doi: 10.1080/00207170801942170 – volume: 2 issue: 3 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b70 article-title: Data-driven discovery of Koopman eigenfunctions for control publication-title: Machine Learning: Science and Technology – volume: 17 start-page: 315 issue: 5 year: 1931 ident: 10.1016/j.arcontrol.2023.100911_b77 article-title: Hamiltonian systems and transformation in Hilbert space publication-title: Proceedings of the National Academy of Sciences doi: 10.1073/pnas.17.5.315 – volume: 33 start-page: 149 issue: 2 year: 2009 ident: 10.1016/j.arcontrol.2023.100911_b29 article-title: The scenario approach for systems and control design publication-title: Annual Reviews in Control doi: 10.1016/j.arcontrol.2009.07.001 – year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b112 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b67 – volume: 68 start-page: 1101 issue: 2 year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b90 article-title: Data-driven simulation of generalized bilinear systems via linear time-invariant embedding publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2022.3146726 – volume: 65 issue: 9 year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b61 article-title: Feedback control design using model predictive control formulation and Carleman approximation method publication-title: AIChE Journal doi: 10.1002/aic.16666 – volume: 40 start-page: 957 issue: 6 year: 2004 ident: 10.1016/j.arcontrol.2023.100911_b105 article-title: Set membership identification of nonlinear systems publication-title: Automatica doi: 10.1016/j.automatica.2004.02.002 – volume: 54 start-page: 101 issue: 8 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b148 article-title: Data-driven predictive control for linear parameter-varying systems – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b5 article-title: Data-driven nonlinear predictive control for feedback linearizable systems – start-page: 1432 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b95 article-title: Determining dissipativity for nonlinear systems from noisy data using Taylor polynomial approximation – volume: 93 start-page: 149 year: 2018 ident: 10.1016/j.arcontrol.2023.100911_b78 article-title: Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control publication-title: Automatica doi: 10.1016/j.automatica.2018.03.046 – volume: 2 start-page: 483 issue: 3 year: 2018 ident: 10.1016/j.arcontrol.2023.100911_b142 article-title: An uncertainty-based control Lyapunov approach for control-affine systems modeled by Gaussian process publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2018.2841961 – start-page: 4344 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b132 article-title: Data-driven control of nonlinear systems: Beyond polynomial dynamics – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b133 article-title: Robust data-driven control for nonlinear systems using the Koopman operator – volume: 24 start-page: 752 issue: 5 year: 1979 ident: 10.1016/j.arcontrol.2023.100911_b54 article-title: System identification via membership set constraints with energy constrained noise publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.1979.1102164 – start-page: 492 year: 1974 ident: 10.1016/j.arcontrol.2023.100911_b8 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b144 – year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b101 – volume: 41 start-page: 309 year: 2005 ident: 10.1016/j.arcontrol.2023.100911_b104 article-title: Spectral properties of dynamical systems, model reduction and decompositions publication-title: Nonlinear Dynamics doi: 10.1007/s11071-005-2824-x – start-page: 3939 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b114 article-title: Data-driven control of linear time-varying systems – year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b85 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b44 – volume: 65 start-page: 4753 issue: 11 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b145 article-title: Data informativity: A new perspective on data-driven analysis and control publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2020.2966717 – start-page: 4609 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b156 article-title: On the equivalence of contraction and koopman approaches for nonlinear stability and control – volume: 6 start-page: 2479 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b158 article-title: Data-driven optimal control of bilinear systems publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2022.3164983 – volume: 68 start-page: 2832 issue: 5 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b96 article-title: Data-driven inference on optimal input–output properties of polynomial systems with focus on nonlinearity measures publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2022.3226652 – start-page: 10219 year: 2011 ident: 10.1016/j.arcontrol.2023.100911_b55 article-title: Virtual reference feedback tuning for linear parameter-varying systems – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b6 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b139 – year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b3 – start-page: 1484 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b2 article-title: Data-based system analysis and control of flat nonlinear systems – start-page: 307 year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b41 article-title: Data-enabled predictive control: In the shallows of the DeePC – start-page: 5765 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b42 article-title: Nonlinear data-driven control via state-dependent representations – year: 1996 ident: 10.1016/j.arcontrol.2023.100911_b57 – year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b60 – year: 2017 ident: 10.1016/j.arcontrol.2023.100911_b69 article-title: Linearly constrained gaussian processes – volume: 38 start-page: 49 issue: 1 year: 1996 ident: 10.1016/j.arcontrol.2023.100911_b146 article-title: Semidefinite programming publication-title: SIAM Review doi: 10.1137/1038003 – volume: 372 year: 2014 ident: 10.1016/j.arcontrol.2023.100911_b37 article-title: Polynomial sum of squares in fluid dynamics: a review with a look ahead publication-title: Philosophical Transactions of the Royal Society, Series A – start-page: 4760 year: 2020 ident: 10.1016/j.arcontrol.2023.100911_b93 article-title: Iterative data-driven inference of nonlinearity measures via successive graph approximation – volume: 24 start-page: 272 issue: 4 year: 2014 ident: 10.1016/j.arcontrol.2023.100911_b11 article-title: A review on data-driven linear parameter-varying modeling approaches: A high-purity distillation column case study publication-title: Journal of Process Control doi: 10.1016/j.jprocont.2014.01.015 – start-page: 4326 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b34 article-title: Nonlinear data-driven control for stabilizing periodic orbits – start-page: 29 year: 2019 ident: 10.1016/j.arcontrol.2023.100911_b122 article-title: Data-driven inference of passivity properties via Gaussian process optimization – volume: 66 start-page: 1702 issue: 4 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b13 article-title: Data-driven model predictive control with stability and robustness guarantees publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2020.3000182 – start-page: 7783 year: 2017 ident: 10.1016/j.arcontrol.2023.100911_b99 article-title: On Lyapunov functions and data-driven dissipativity – year: 2009 ident: 10.1016/j.arcontrol.2023.100911_b38 – volume: 68 start-page: 6082 issue: 10 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b45 article-title: Learning controllers from data via approximate nonlinearity cancellation publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2023.3234889 – start-page: 6469 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b138 article-title: Towards robust data-driven control synthesis for nonlinear systems with actuation uncertainty – volume: 64 start-page: 759 year: 1942 ident: 10.1016/j.arcontrol.2023.100911_b162 article-title: Optimum settings for automatic controllers publication-title: Transactions of the American Society of Mechanical Engineers doi: 10.1115/1.4019264 – volume: 52 start-page: 42 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b91 article-title: Behavioral systems theory in data-driven analysis, signal processing, and control publication-title: Annual Reviews in Control doi: 10.1016/j.arcontrol.2021.09.005 – start-page: 1 year: 2021 ident: 10.1016/j.arcontrol.2023.100911_b7 article-title: Error bounds for carleman linearization of general nonlinear systems – volume: 6 start-page: 289 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b49 article-title: A trajectory-based approach to discrete-time flatness publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2021.3071177 – volume: 107 start-page: 189 year: 2006 ident: 10.1016/j.arcontrol.2023.100911_b128 article-title: Matrix sum-of-squares relaxations for robust semi-definite programs publication-title: Mathematical Programming doi: 10.1007/s10107-005-0684-2 – year: 2023 ident: 10.1016/j.arcontrol.2023.100911_b108 – volume: 75 start-page: 1 year: 2017 ident: 10.1016/j.arcontrol.2023.100911_b137 article-title: Data-driven control of nonlinear systems: An on-line direct approach publication-title: Automatica doi: 10.1016/j.automatica.2016.09.032 – year: 2009 ident: 10.1016/j.arcontrol.2023.100911_b83 – volume: 67 start-page: 4210 issue: 8 year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b59 article-title: Data-driven stabilization of nonlinear polynomial systems with noisy data publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2021.3115436 – year: 2022 ident: 10.1016/j.arcontrol.2023.100911_b151 – start-page: 3246 year: 2016 ident: 10.1016/j.arcontrol.2023.100911_b64 article-title: Control of linear parameter-varying systems using B-splines |
| SSID | ssj0002215 ssib019626660 |
| Score | 2.5735369 |
| Snippet | This survey presents recent research on determining control-theoretic properties and designing controllers with rigorous guarantees using semidefinite... |
| SourceID | swepub crossref |
| SourceType | Open Access Repository Enrichment Source Index Database |
| StartPage | 100911 |
| SubjectTerms | Data-driven control Data-driven system analysis Nonlinear systems Semidefinite programming |
| Title | Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey |
| URI | https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-521220 |
| Volume | 56 |
| WOSCitedRecordID | wos001138794700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 issn: 1367-5788 databaseCode: AIEXJ dateStart: 19960101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: false ssIdentifier: ssj0002215 providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lc9MwENaElAMceBQYWh6jA5w8ztjyK-bmQhng0OFQmNyMnsWdNO04cZqfz8qSZRuYKT1wcRJntFa8Xz6vpNW3CL1JGCEqy1NfMBiuwvOW-5Sp2J_LlMGAImSCs7bYRHZyMl8s8q-Tya7bC7NdZqvVfLfLr_6rq-EcOFtvnb2Fu51ROAHvwelwBLfD8Z8cr52ub5dslRY8nQLqi1qTmstL18kbRiKDdlrOa69pZw3W8qISUlU6FO2Sty7spujCWzf1drwQbPX5raipV7mL9FPdnU4BwKJf9vmpV-iP0lWfpOQdzRz6lssz8_21QVRbWn44QWF2D1s2jYCFgRLmQ7pNhnwZQohnyPYPKjezCuczAIHp90wbn_UtxuLZvz3UXKphl8V2XjpDpTZUGkN30B7JkjyYor3i8_Hii3uKE9JWv3A_YZQb-Nc-jSKbke5sG6ucPkIP7CADFwYcj9FErvbRw66AB7Z8vo_uD9Qon6AfPXIwIAcPkINtR_Clwg452CIHt8jBQ-TgAXLe4QIb3DxF3z4en77_5NsCHD6HuHzj51TlAeNMAslTHseCh5FIlKB6XAChcg40RCLKIsllRkkK__oMRiDQGIJABq_P0BQ6JZ8jHPCEJCqiemEvToEAUhWHgmZKiCBUTB6gtLt5Jbfq9LpIyrK8wYEHKHANr4xAy81N3hrvuAZaY_1D9b0oL-uzsmlKvaGdBIe3N_0C3dOfzBzdSzTd1I18he7y7aZa168txn4BOVmhXA |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Guarantees+for+data-driven+control+of+nonlinear+systems+using+semidefinite+programming%3A+A+survey&rft.jtitle=Annual+reviews+in+control&rft.au=Martin%2C+Tim&rft.au=Sch%C3%B6n%2C+Thomas+B.&rft.au=Allg%C3%B6wer%2C+Frank&rft.date=2023&rft.issn=1367-5788&rft.volume=56&rft.spage=100911&rft_id=info:doi/10.1016%2Fj.arcontrol.2023.100911&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_arcontrol_2023_100911 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1367-5788&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1367-5788&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1367-5788&client=summon |