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Decentralized adaptive optimal stabilization of nonlinear systems with matched interconnections
Mu, Chaoxu1,2; Sun, Changyin1; Wang, Ding3; Song, Aiguo4; Qian, Chengshan5
Source PublicationSOFT COMPUTING
AbstractIn this paper, we investigate the decentralized feedback stabilization and adaptive dynamic programming (ADP)-based optimization for the class of nonlinear systems with matched interconnections. The decentralized control law of the overall system is designed by integrating all controllers of the isolated subsystems, and it satisfies the optimality on the basis of optimal control laws of all the subsystems. For solving the optimal control problems of these isolated subsystems, the policy iteration algorithm is used to approximately solve the Hamilton-Jacobi-Bellman equations in the framework of ADP with the neural network implementation, where a set of critic neural networks is constructed to estimate the optimal cost functions, and the approximate optimal control laws can be obtained after the learning of critic neural networks. The weight estimation errors of the critic networks and the stability of all isolated subsystems are proved based on the Lyapunov theory. Finally, the performance of the proposed decentralized optimal control strategy is verified by simulation results.
KeywordAdaptive Dynamic Programming (Adp) Interconnected Nonlinear Systems Neural Networks Decentralized Control Matched Interconnections
WOS HeadingsScience & Technology ; Technology
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China(61304018 ; China Postdoctoral Science Foundation(2014M561559) ; Tianjin Natural Science Foundation(14JCQNJC05400) ; Beijing Natural Science Foundation(4162065) ; Tianjin Key Laboratory of Process Measurement and Control(TKLPMC-201612) ; SKLMCCS ; 61304086 ; 61533017 ; 61533008 ; 61520106009 ; U1501251)
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Interdisciplinary Applications
WOS IDWOS:000427707700021
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Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
2.Tianjin Univ, Sch Elect & Informat Engn, Tianjin Key Lab Proc Measurement & Control, Tianjin 300072, Peoples R China
3.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
4.Southeast Univ, Sch Instrument Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China
5.Nanjing Univ Informat Sci & Technol, Sch Comp & Software, Nanjing 210044, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Mu, Chaoxu,Sun, Changyin,Wang, Ding,et al. Decentralized adaptive optimal stabilization of nonlinear systems with matched interconnections[J]. SOFT COMPUTING,2018,22(8):2705-2715.
APA Mu, Chaoxu,Sun, Changyin,Wang, Ding,Song, Aiguo,&Qian, Chengshan.(2018).Decentralized adaptive optimal stabilization of nonlinear systems with matched interconnections.SOFT COMPUTING,22(8),2705-2715.
MLA Mu, Chaoxu,et al."Decentralized adaptive optimal stabilization of nonlinear systems with matched interconnections".SOFT COMPUTING 22.8(2018):2705-2715.
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