Sliding-Mode Surface-Based Approximate Optimal Control for Uncertain Nonlinear Systems With Asymptotically Stable Critic Structure
Zhao, Bo1,2; Liu, Derong3; Alippi, Cesare4,5
刊名IEEE TRANSACTIONS ON CYBERNETICS
2021-06-01
卷号51期号:6页码:2858-2869
关键词Optimal control Perturbation methods Nonlinear systems Uncertainty Cost function Stability analysis Adaptive systems Adaptive critic designs adaptive dynamic programming (ADP) optimal control sliding mode surface (SMS) unknown mismatched perturbations
ISSN号2168-2267
DOI10.1109/TCYB.2019.2962011
通讯作者Liu, Derong(derong@gdut.edu.cn)
英文摘要This article develops a novel sliding-mode surface (SMS)-based approximate optimal control scheme for a large class of nonlinear systems affected by unknown mismatched perturbations. The observer-based perturbation estimation procedure is employed to establish the online updated value function. The solution to the Hamilton-Jacobi-Bellman equation is approximated by an SMS-based critic neural network whose weights error dynamics is designed to be asymptotically stable by nested update laws. The sliding-mode control strategy is combined with the approximate optimal control design procedure to obtain a faster control action. The stability is proved based on the Lyapunov's direct method. The simulation results show the effectiveness of the developed control scheme.
资助项目National Natural Science Foundation of China[61973330] ; National Natural Science Foundation of China[61603387] ; National Natural Science Foundation of China[61773075] ; National Natural Science Foundation of China[61533017] ; National Natural Science Foundation of China[U1501251] ; Fundamental Research Funds for the Central Universities[2019NTST25] ; Early Career Development Award of SKLMCCS[20180201] ; State Key Laboratory of Synthetical Automation for Process Industries[2019-KF-23-03]
WOS关键词DECENTRALIZED TRACKING CONTROL ; GUARANTEED COST CONTROL ; MULTIAGENT SYSTEMS ; CONTROL SCHEME ; HJB SOLUTION ; STABILIZATION ; DESIGN ; STATE ; DYNAMICS ; GAMES
WOS研究方向Automation & Control Systems ; Computer Science
语种英语
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号WOS:000652065400001
资助机构National Natural Science Foundation of China ; Fundamental Research Funds for the Central Universities ; Early Career Development Award of SKLMCCS ; State Key Laboratory of Synthetical Automation for Process Industries
内容类型期刊论文
源URL[http://ir.ia.ac.cn/handle/173211/45191]  
专题自动化研究所_复杂系统管理与控制国家重点实验室
通讯作者Liu, Derong
作者单位1.Beijing Normal Univ, Sch Syst Sci, Beijing 100875, Peoples R China
2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
3.Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China
4.Politecn Milan, Dipartimento Elettron & Informaz, I-20133 Milan, Italy
5.Univ Svizzera Italiana, Fac Informat, CH-6900 Lugano, Switzerland
推荐引用方式
GB/T 7714
Zhao, Bo,Liu, Derong,Alippi, Cesare. Sliding-Mode Surface-Based Approximate Optimal Control for Uncertain Nonlinear Systems With Asymptotically Stable Critic Structure[J]. IEEE TRANSACTIONS ON CYBERNETICS,2021,51(6):2858-2869.
APA Zhao, Bo,Liu, Derong,&Alippi, Cesare.(2021).Sliding-Mode Surface-Based Approximate Optimal Control for Uncertain Nonlinear Systems With Asymptotically Stable Critic Structure.IEEE TRANSACTIONS ON CYBERNETICS,51(6),2858-2869.
MLA Zhao, Bo,et al."Sliding-Mode Surface-Based Approximate Optimal Control for Uncertain Nonlinear Systems With Asymptotically Stable Critic Structure".IEEE TRANSACTIONS ON CYBERNETICS 51.6(2021):2858-2869.
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