Discrete-time LQR optimal tracking control problems using Approximate Dynamic Programming algorithm with disturbance

Inspired by Approximate Dynamic Programming (ADP) and the Algebraic Riccatic Equation (ARE), this paper investigate a new optimal tracking control strategy for a class of discrete-time linear quadratic regulation (LQR) problems with disturbance. First, the optimal tracking problem is converted into...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:2013 Fourth International Conference on Intelligent Control and Information Processing (ICICIP) s. 716 - 721
Hlavní autori: Qingqing Xie, Bin Luo, Fuxiao Tan
Médium: Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: IEEE 01.06.2013
Predmet:
Educational institutions
Equations
Heuristic algorithms
Mathematical model
Optimal control
Performance analysis
Trajectory
ISBN:9781467362481, 1467362484
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract Inspired by Approximate Dynamic Programming (ADP) and the Algebraic Riccatic Equation (ARE), this paper investigate a new optimal tracking control strategy for a class of discrete-time linear quadratic regulation (LQR) problems with disturbance. First, the optimal tracking problem is converted into designing infinite-horizon optimal regulator for the tracking error dynamics via system transformation. Then we compute the optimal tracking control policy, which can be considered as a way to solve the ARE of the well-known discrete-time optimal control problem forward in time. The iterative ADP algorithm via Heuristic Dynamic Programming (HDP) technique is introduced to solve the value function of the controlled system. To verify its robustness, disturbance is added to the controlled system. The simulation results show the effectiveness and robustness of the proposed algorithm in this paper.
AbstractList Inspired by Approximate Dynamic Programming (ADP) and the Algebraic Riccatic Equation (ARE), this paper investigate a new optimal tracking control strategy for a class of discrete-time linear quadratic regulation (LQR) problems with disturbance. First, the optimal tracking problem is converted into designing infinite-horizon optimal regulator for the tracking error dynamics via system transformation. Then we compute the optimal tracking control policy, which can be considered as a way to solve the ARE of the well-known discrete-time optimal control problem forward in time. The iterative ADP algorithm via Heuristic Dynamic Programming (HDP) technique is introduced to solve the value function of the controlled system. To verify its robustness, disturbance is added to the controlled system. The simulation results show the effectiveness and robustness of the proposed algorithm in this paper.
Author Bin Luo
Fuxiao Tan
Qingqing Xie
Author_xml – sequence: 1
  surname: Qingqing Xie
  fullname: Qingqing Xie
  email: qingqingxieahu@gmail.com
  organization: Sch. of Comput. Sci. & Technol., Anhui Univ., Hefei, China
– sequence: 2
  surname: Bin Luo
  fullname: Bin Luo
  email: luobin@ahu.edu.cn
  organization: Sch. of Comput. Sci. & Technol., Anhui Univ., Hefei, China
– sequence: 3
  surname: Fuxiao Tan
  fullname: Fuxiao Tan
  email: fuxiaotan@gmail.com
  organization: Sch. of Comput. Sci. & Technol., Anhui Univ., Hefei, China
BookMark eNpVUNtKAzEQjaig1n5BX_IDW5NNNsk-ltZLoWAVfS65TGt0byQp2r83xb7IwJmZcw6HYW7QRdd3gNCEkimlpL5bznOtpyWhbCoqoagQZ2hcS0W5kEyUXPLzf7uiV2gc4ychJAcIRsU1SgsfbYAERfIt4NXLK-6HPOoGp6Dtl-922PZdCn2Dh9CbBtqI9_FIz4ZM_GRrArw4dLr1Fq9Dvwu6bY-6bnZ98Omjxd8ZsfMx7YPRnYVbdLnVTYTxqY_Q-8P92_ypWD0_LuezVeGprFIhpbGs0rJ2lHEjNYWSU25NLbfUlZpXDpwSxPHSydIo2AqjSuDWWq2kURUboclfrgeAzRDyreGwOf2K_QIsKWJK
ContentType Conference Proceeding
DBID 6IE
6IL
CBEJK
RIE
RIL
DOI 10.1109/ICICIP.2013.6568166
DatabaseName IEEE Electronic Library (IEL) Conference Proceedings
IEEE Xplore POP ALL
IEEE Xplore All Conference Proceedings
IEEE Electronic Library (IEL) - NZ
IEEE Proceedings Order Plans (POP All) 1998-Present
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
EISBN 9781467362474
1467362492
9781467362498
1467362476
EndPage 721
ExternalDocumentID 6568166
Genre orig-research
GroupedDBID 6IE
6IF
6IK
6IL
6IN
AAJGR
AAWTH
ADFMO
ALMA_UNASSIGNED_HOLDINGS
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CBEJK
IEGSK
IERZE
OCL
RIE
RIL
ID FETCH-LOGICAL-i175t-77bc35a79d134b7a1e2414cb97f1d2a45ded860d42d72b8ef6b82e4ccca87b853
IEDL.DBID RIE
ISBN 9781467362481
1467362484
ISICitedReferencesCount 9
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000326374300139&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
IngestDate Wed Aug 27 04:10:55 EDT 2025
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i175t-77bc35a79d134b7a1e2414cb97f1d2a45ded860d42d72b8ef6b82e4ccca87b853
PageCount 6
ParticipantIDs ieee_primary_6568166
PublicationCentury 2000
PublicationDate 2013-June
PublicationDateYYYYMMDD 2013-06-01
PublicationDate_xml – month: 06
  year: 2013
  text: 2013-June
PublicationDecade 2010
PublicationTitle 2013 Fourth International Conference on Intelligent Control and Information Processing (ICICIP)
PublicationTitleAbbrev ICICIP
PublicationYear 2013
Publisher IEEE
Publisher_xml – name: IEEE
SSID ssj0001106316
Score 1.5647982
Snippet Inspired by Approximate Dynamic Programming (ADP) and the Algebraic Riccatic Equation (ARE), this paper investigate a new optimal tracking control strategy for...
SourceID ieee
SourceType Publisher
StartPage 716
SubjectTerms Educational institutions
Equations
Heuristic algorithms
Mathematical model
Optimal control
Performance analysis
Trajectory
Title Discrete-time LQR optimal tracking control problems using Approximate Dynamic Programming algorithm with disturbance
URI https://ieeexplore.ieee.org/document/6568166
WOSCitedRecordID wos000326374300139&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
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NS8MwFA_b8OBJZRO_ycGj2Zo0S9qjbA6FMaao7Dby1Vlwq3Sd-Oeb19YNwYv00i9CyAt5Ly-_9_shdN1PEh-Fa0ascZxwFTKiuaVEikRYbQVLSjqG17GcTKLZLJ420M22FsY5V4LPXBduy7N8m5kNpMp6AtiyhGiippSiqtXa5VP83iakoqzdAqwS4xH_oXSqn2nNOkSDuPcw8NcUoF1ht272l75K6V5GB__r2CHq7Or08HTrgY5Qw63aqBimfinwsTAB3Xg8fnzCmV8XluodF7kykBrHNUAd13Iyawzw9wW-BYLxL_9r4fCwkqqH9gHAtYTv6n2R5WnxtsSQvsXWT5FNrmHedNDL6O55cE9qbQWS-oCh8EG1NmFfydjSkGupqPOunBsdy4RapnjfOhuJwHJmJdORS4SOmOPGGzyS2vv4Y9RaZSt3gnA_drH1gQcLvLm5M0qExsV-n5JYOBQ1p6gNIzb_qOgz5vVgnf39-hzts0pxggT0ArWKfOMu0Z75LNJ1flXa_BtwMazk
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1bT8IwFG4QTfRJDRjv9sFHC7Truu3RgATiJGjQ8EbWy3AJMDOG8efbMybExBezl93SND1Nz-npd74PoVs3jm0ULhnRynDCI4cRyTUlnoiFllqwuKBjeAu9wcAfj4NhBd1tamGMMQX4zDTgtjjL16laQaqsKYAtS4gdtAvKWWW11jajYnc3DhVF9RaglRj3-Q-pU_lMS94h2gqa_ba9hgDuchplw78UVgoH0z38X9eOUH1bqYeHGx90jCpmUUN5J7GLgY2GCSjH4_D5Bad2ZZhHM5xnkYLkOC4h6rgUlFliAMBP8T1QjH_ZX3ODO2uxemgfIFxz-B7NpmmW5O9zDAlcrO0kWWUSZk4dvXYfRu0eKdUVSGJDhtyG1VI5buQFmjpcehE11plzJQMvpppF3NVG-6KlOdMek76JhfSZ4cqa3Pek9fInqLpIF-YUYTcwgbahB2tZg3OjIuEoE9idSqzhWFSdoRqM2ORjTaAxKQfr_O_XN2i_N3oKJ2F_8HiBDthaf4K06CWq5tnKXKE99Zkny-y6sP83oC-wLQ
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%3Abook&rft.genre=proceeding&rft.title=2013+Fourth+International+Conference+on+Intelligent+Control+and+Information+Processing+%28ICICIP%29&rft.atitle=Discrete-time+LQR+optimal+tracking+control+problems+using+Approximate+Dynamic+Programming+algorithm+with+disturbance&rft.au=Qingqing+Xie&rft.au=Bin+Luo&rft.au=Fuxiao+Tan&rft.date=2013-06-01&rft.pub=IEEE&rft.isbn=9781467362481&rft.spage=716&rft.epage=721&rft_id=info:doi/10.1109%2FICICIP.2013.6568166&rft.externalDocID=6568166
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781467362481/lc.gif&client=summon&freeimage=true
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781467362481/mc.gif&client=summon&freeimage=true
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781467362481/sc.gif&client=summon&freeimage=true