Adaptive dynamic programming for optimal control of van der Pol oscillator

Adaptive dynamic programming has been considered as one of the effective methods to solve the optimal control of nonlinear systems and it has lots of applications in academic research and engineering. Firstly, we formulate the optimal control of van der Pol oscillator with the least energy consumpti...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Chinese Control and Decision Conference s. 1537 - 1542
Hlavní autoři: Ji, Zheng, Lou, Xuyang
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.06.2018
Témata:
Adaptive dynamic programming
Adaptive systems
Cost function
Dynamic programming
Mathematical model
moving-data window recursive least-square method
neural network
Nonlinear systems
Optimal control
Oscillators
van der Pol oscillator
ISSN:1948-9447
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract Adaptive dynamic programming has been considered as one of the effective methods to solve the optimal control of nonlinear systems and it has lots of applications in academic research and engineering. Firstly, we formulate the optimal control of van der Pol oscillator with the least energy consumption. Then, using an adaptive dynamic programming method to dynamically solve the approximate solution of this optimal control problem. A simplified neural network model is used to approximate the cost function. In addition, an admissible initial control policy for van der Pol oscillator is designed and Lyapunov stability criterion is established. On the basis of predecessors, we present a moving-data window recursive least-square method, which can overcome the computational difficulties and the problem that the parameter of oscillator maybe unknown and various slowly. Finally, the implementation steps of the method are proposed, and the feasibility is illustrated.
AbstractList Adaptive dynamic programming has been considered as one of the effective methods to solve the optimal control of nonlinear systems and it has lots of applications in academic research and engineering. Firstly, we formulate the optimal control of van der Pol oscillator with the least energy consumption. Then, using an adaptive dynamic programming method to dynamically solve the approximate solution of this optimal control problem. A simplified neural network model is used to approximate the cost function. In addition, an admissible initial control policy for van der Pol oscillator is designed and Lyapunov stability criterion is established. On the basis of predecessors, we present a moving-data window recursive least-square method, which can overcome the computational difficulties and the problem that the parameter of oscillator maybe unknown and various slowly. Finally, the implementation steps of the method are proposed, and the feasibility is illustrated.
Author Ji, Zheng
Lou, Xuyang
Author_xml – sequence: 1
  givenname: Zheng
  surname: Ji
  fullname: Ji, Zheng
  organization: School of Internet of Things Engineering, Jiangnan University Wuxi 214122 China
– sequence: 2
  givenname: Xuyang
  surname: Lou
  fullname: Lou, Xuyang
  organization: School of Internet of Things Engineering, Jiangnan University Wuxi 214122 China
BookMark eNotj91KxDAUhKMouF19APEmL9Ca05OkyeVSXX9Y0Au9Xk7bdIm0TUnLwr69FfdqGOZjmEnY1RAGx9g9iAxA2MeyfCqzXIDJjBQFFnDBElBoNOQSi0u2AitNaqUsblgyTT9CaI1CrNj7pqFx9kfHm9NAva_5GMMhUt_74cDbEHlY4p46XodhjqHjoeVHGnjjIv_8s1Ptu47mEG_ZdUvd5O7Oumbf2-ev8jXdfby8lZtd6qFQcwraNrIyTuQkZQ2tNtYaW6HNETSCU0WjWpWT0ZKgUsqSRGfIEraIC4Zr9vDf651z-zEu6-Jpf_6Nv2kJTZM
ContentType Conference Proceeding
DBID 6IE
6IL
CBEJK
RIE
RIL
DOI 10.1109/CCDC.2018.8407371
DatabaseName IEEE Electronic Library (IEL) Conference Proceedings
Accès Toulouse INP et ENVT - IEEE Xplore POP ALL
IEEE Xplore All Conference Proceedings
IEEE Xplore
IEEE Proceedings Order Plans (POP All) 1998-Present
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISBN 1538612437
9781538612446
1538612445
9781538612439
EISSN 1948-9447
EndPage 1542
ExternalDocumentID 8407371
Genre orig-research
GroupedDBID 29B
6IE
6IF
6IK
6IL
6IN
AAJGR
AAWTH
ABLEC
ADZIZ
ALMA_UNASSIGNED_HOLDINGS
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CBEJK
CHZPO
IEGSK
IPLJI
M43
OCL
RIE
RIL
RNS
ID FETCH-LOGICAL-i175t-169d4b8e02a44c1f689989b39231631e57d5f52a864a1b559a43e8a9a3f33b393
IEDL.DBID RIE
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000905172101136&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 02:49:07 EDT 2025
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i175t-169d4b8e02a44c1f689989b39231631e57d5f52a864a1b559a43e8a9a3f33b393
PageCount 6
ParticipantIDs ieee_primary_8407371
PublicationCentury 2000
PublicationDate 2018-June
PublicationDateYYYYMMDD 2018-06-01
PublicationDate_xml – month: 06
  year: 2018
  text: 2018-June
PublicationDecade 2010
PublicationTitle Chinese Control and Decision Conference
PublicationTitleAbbrev CCDC
PublicationYear 2018
Publisher IEEE
Publisher_xml – name: IEEE
SSID ssj0066300
Score 1.6662662
Snippet Adaptive dynamic programming has been considered as one of the effective methods to solve the optimal control of nonlinear systems and it has lots of...
SourceID ieee
SourceType Publisher
StartPage 1537
SubjectTerms Adaptive dynamic programming
Adaptive systems
Cost function
Dynamic programming
Mathematical model
moving-data window recursive least-square method
neural network
Nonlinear systems
Optimal control
Oscillators
van der Pol oscillator
Title Adaptive dynamic programming for optimal control of van der Pol oscillator
URI https://ieeexplore.ieee.org/document/8407371
WOSCitedRecordID wos000905172101136&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/eLvHCXMwlV1JSwMxFA61eNCLSyvu5ODRtJNlshxltIhI6UGlt5IVCrZTuvj7TWbGquDFW1YCLyHfe8n33gPgxkaQJcYHxHmQiAXmkQo6QxYzy63MrK3I42_PYjiU47EatcDt1hfGe1-Rz3wvFau_fFfaTXoq60djRNDkML4jBK99tb5uXZ5CRzW_ljhT_aK4LxJxS_aaSb-yp1TgMTj437KHoPvthQdHW3w5Ai0_Pwb7PwIIdsDTndOLdGFBV2eWhw3faha7YdRHYRm7Z_odNpR0WAYYdWfo_BKOUjUiYDwI0fDugtfBw0vxiJrsCGgaIX-NMFeOGekzohmzOPBkOSlDk8bGKfa5cHnIiZacaWyi4aAZ9VIrTQOlcRg9Ae15OfenAOJgAybEYcsNs7lTQpPcCMJyb6Tj2RnoJKlMFnUAjEkjkPO_my_AXhJ8zae6BO31cuOvwK79WE9Xy-tq1z4BZIOZYg
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LTwIxEJ4QNFEvPsD4tgePLmwf2-0ezSpBRcIBDTfS7SMhAZYg-Pttd1fUxIu3PtNk2vSbab-ZAbhRDmRJZmzAuRUBs8wEiZVhoDBTXIlQqYI8_taL-30xGiWDGtxufGGMMQX5zLR8sfjL17la-6eytjNGYuodxrcixkhYemt93bvcB4-q_i1xmLTT9D711C3Rqqb9yp9SwEdn_38LH0Dz2w8PDTYIcwg1Mz-CvR8hBBvwdKflwl9ZSJe55VHFuJq5buQ0UpS77pmcooqUjnKLnPaMtFmiga86DHRHwZneTXjtPAzTblDlRwgmDvRXAeaJZpkwIZGMKWy5t52SjHqdjVNsolhHNiJScCZx5kwHyagRMpHUUuqG0WOoz_O5OQGErbKYEI0Vz5iKdBJLEmUxYZHJhObhKTS8VMaLMgTGuBLI2d_N17DTHb70xr3H_vM57PpNKNlVF1BfLdfmErbVx2ryvrwqdvATj3OcqQ
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=proceeding&rft.title=Chinese+Control+and+Decision+Conference&rft.atitle=Adaptive+dynamic+programming+for+optimal+control+of+van+der+Pol+oscillator&rft.au=Ji%2C+Zheng&rft.au=Lou%2C+Xuyang&rft.date=2018-06-01&rft.pub=IEEE&rft.eissn=1948-9447&rft.spage=1537&rft.epage=1542&rft_id=info:doi/10.1109%2FCCDC.2018.8407371&rft.externalDocID=8407371