Backstepping Control Under Multi-Rate Sampling

The paper deals with the design of sampled-data controllers which preserve the stabilizing performance of a continuous-time backstepping control strategy. This is achieved through matching of the control Lyapunov functions evolutions at the sampling instants. The method is developed for systems in s...

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Vydáno v:	IEEE transactions on automatic control Ročník 61; číslo 5; s. 1208 - 1222
Hlavní autoři:	Tanasa, Valentin, Monaco, Salvatore, Normand-Cyrot, Dorothee
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York IEEE 01.05.2016 The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Institute of Electrical and Electronics Engineers
Témata:	Approximation methods Automatic Automatic Control Engineering Backstepping Computational modeling Computer Science Context digital backstepping Engineering Sciences Lyapunov methods Lyapunov redesign multi-rate control Stability analysis Thermal stability nonlinear systems Digital backstepping Lyapunov redesign multi-rate control
ISSN:	0018-9286, 1558-2523
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Abstract	The paper deals with the design of sampled-data controllers which preserve the stabilizing performance of a continuous-time backstepping control strategy. This is achieved through matching of the control Lyapunov functions evolutions at the sampling instants. The method is developed for systems in strict-feedback form. The results are discussed and compared with similar strategies through simulated examples.
AbstractList	The paper deals with the design of sampled-data controllers which preserve the stabilizing performance of a continuous-time backstepping control strategy. This is achieved through matching of the control Lyapunov functions evolutions at the sampling instants. The method is developed for systems in strict-feedback form. The results are discussed and compared with similar strategies through simulated examples.
Author	Monaco, Salvatore Tanasa, Valentin Normand-Cyrot, Dorothee
Author_xml	– sequence: 1 givenname: Valentin surname: Tanasa fullname: Tanasa, Valentin email: valentin.tanasa@thalesgroup.com organization: Autom. Control Syst. Eng. Dept., Politeh. Univ. Bucharest, Bucharest, Romania – sequence: 2 givenname: Salvatore surname: Monaco fullname: Monaco, Salvatore email: salvatore.monaco@uniroma1.it organization: Dipt. di Ing. Inf., Autom. e Gestionale "Antonio Ruberti", Univ. di Roma "La Sapienza", Rome, Italy – sequence: 3 givenname: Dorothee surname: Normand-Cyrot fullname: Normand-Cyrot, Dorothee email: dorothee-normand.cyrot@l2s.centralesupelec.fr organization: Lab. des Signaux et Syst., Univ. Paris-Sud, Gif-sur-Yvette, France
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Cites_doi	10.1109/CDC.1996.573505 10.1109/TAC.2009.2031204 10.1109/9.100932 10.1016/S0167-6911(99)00046-8 10.3182/20110828-6-IT-1002.03084 10.1109/ISIE.2007.4374602 10.1016/j.automatica.2006.05.015 10.1016/j.automatica.2007.05.003 10.3166/ejc.7.160-177 10.1109/CDC.1987.272543 10.1016/j.automatica.2009.05.001 10.1109/TAC.2010.2101130 10.1016/j.automatica.2005.03.001 10.1002/(SICI)1099-1115(199908)13:5<327::AID-ACS538>3.0.CO;2-X 10.3166/ejc.13.221-241 10.1109/9.333790 10.1109/TAC.2005.856640 10.1016/0005-1098(84)90062-1 10.1007/978-1-4757-2135-5_14 10.1109/TAC.2007.902734 10.1007/978-1-4471-0967-9 10.1016/S0005-1098(01)00028-0 10.1137/12086652X 10.1109/9.536498 10.1109/TAC.2005.860292 10.1080/00207170600798427 10.1016/S0167-6911(99)00073-0 10.1016/S0005-1098(01)00278-3 10.1016/0167-6911(88)90063-1 10.1109/9.286250
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References	ref35 ref13 ref37 ref15 ref14 ref30 ref33 ref11 ref32 ref10 neši? (ref12) 2005; 41 ref1 ref17 ref16 wei (ref8) 1994; 39 neši? (ref34) 1999; 38 ref24 tanasa (ref28) 2012 ref23 ref26 ref25 ref20 ref21 tiefensee (ref19) 2010 åström (ref22) 1984; 20 lee (ref36) 2006 ref27 ref29 yamamoto (ref6) 1999 ref7 ref9 ref4 ref3 tiefensee (ref18) 0 neši? (ref31) 1999; 38 khalil (ref2) 1996 åström (ref5) 2011
References_xml	– ident: ref7 doi: 10.1109/CDC.1996.573505 – ident: ref25 doi: 10.1109/TAC.2009.2031204 – ident: ref26 doi: 10.1109/9.100932 – volume: 38 start-page: 49 year: 1999 ident: ref34 article-title: Formulas relating kl stability estimates of discrete-time and sampled-data nonlinear systems publication-title: Syst Control Lett doi: 10.1016/S0167-6911(99)00046-8 – year: 2010 ident: ref19 publication-title: Méthodes asymptotiques pour la commande des systèmes non linéaires échantillonnés – start-page: 1775 year: 0 ident: ref18 article-title: Lyapunov design under sampling for a synchronous machine publication-title: Proc EUCA-ECC – ident: ref21 doi: 10.3182/20110828-6-IT-1002.03084 – ident: ref30 doi: 10.1109/ISIE.2007.4374602 – ident: ref9 doi: 10.1016/j.automatica.2006.05.015 – ident: ref14 doi: 10.1016/j.automatica.2007.05.003 – ident: ref10 doi: 10.3166/ejc.7.160-177 – ident: ref27 doi: 10.1109/CDC.1987.272543 – ident: ref11 doi: 10.1016/j.automatica.2009.05.001 – ident: ref17 doi: 10.1109/TAC.2010.2101130 – year: 1999 ident: ref6 publication-title: Digital Control – volume: 41 start-page: 1143 year: 2005 ident: ref12 article-title: Lyapunov based continuous-time controller redesign for sampled-data implementation publication-title: Automatica doi: 10.1016/j.automatica.2005.03.001 – ident: ref29 doi: 10.1002/(SICI)1099-1115(199908)13:5<327::AID-ACS538>3.0.CO;2-X – ident: ref16 doi: 10.3166/ejc.13.221-241 – volume: 39 start-page: 2340 year: 1994 ident: ref8 article-title: Design of discrete-time nonlinear control systems via smooth feedback publication-title: IEEE Trans Autom Control doi: 10.1109/9.333790 – year: 2011 ident: ref5 publication-title: Computer-Controlled Systems – ident: ref37 doi: 10.1109/TAC.2005.856640 – volume: 20 start-page: 31 year: 1984 ident: ref22 article-title: Zeros of sampled systems publication-title: Automatica doi: 10.1016/0005-1098(84)90062-1 – ident: ref24 doi: 10.1007/978-1-4757-2135-5_14 – ident: ref35 doi: 10.1109/TAC.2007.902734 – ident: ref3 doi: 10.1007/978-1-4471-0967-9 – ident: ref33 doi: 10.1016/S0005-1098(01)00028-0 – ident: ref15 doi: 10.1137/12086652X – ident: ref32 doi: 10.1109/9.536498 – ident: ref20 doi: 10.1109/TAC.2005.860292 – year: 2006 ident: ref36 publication-title: Introduction to Smooth Manifolds Graduate Texts in Mathematics – ident: ref13 doi: 10.1080/00207170600798427 – year: 1996 ident: ref2 publication-title: Nonlinear Systems – volume: 38 start-page: 259 year: 1999 ident: ref31 article-title: Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations publication-title: Syst Control Lett doi: 10.1016/S0167-6911(99)00073-0 – ident: ref4 doi: 10.1016/S0005-1098(01)00278-3 – ident: ref23 doi: 10.1016/0167-6911(88)90063-1 – ident: ref1 doi: 10.1109/9.286250 – year: 2012 ident: ref28 publication-title: Development of Theoretical and Computational Tools for the Design of Control Strategies for Nonlinear Sampled-Data Systems
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SubjectTerms	Approximation methods Automatic Automatic Control Engineering Backstepping Computational modeling Computer Science Context digital backstepping Engineering Sciences Lyapunov methods Lyapunov redesign multi-rate control Stability analysis Thermal stability
Title	Backstepping Control Under Multi-Rate Sampling
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