Asymptotically stable critic designs for approximate optimal stabilization of nonlinear systems subject to mismatched external disturbances
Zhao, Bo1,3; Shi, Guang2; Wang, Ding3
刊名NEUROCOMPUTING
2020-07-05
卷号396页码:201-208
关键词Adaptive dynamic programming Adaptive critic designs Mismatched external disturbances Disturbance observer Optimal control Neural networks Nested tuning law
ISSN号0925-2312
DOI10.1016/j.neucom.2018.08.092
通讯作者Zhao, Bo(zhaobo@bnu.edu.cn)
英文摘要This paper addresses approximate optimal stabilization problems for nonlinear systems in the presence of mismatched external disturbances via asymptotically stable critic designs. By establishing the nonlinear disturbance observer, the corresponding information is utilized to construct the online updated cost function, which reflects the real-time disturbances, regulation and control simultaneously. With the help of the proper cost function, the Hamilton-Jacobi-Bellman equation is solved by employing a critic neural network, whose weight vector is guaranteed to be asymptotically stable with nested tuning laws. The approximate optimal control is derived to guarantee the closed-loop system to be ultimately uniformly bounded based on the Lyapunov stability theorem. The effectiveness of the developed stabilization scheme is verified via simulations of two numerical examples. (C) 2019 Elsevier B.V. All rights reserved.
资助项目National Natural Science Foundation of China[61603387] ; National Natural Science Foundation of China[61773373] ; National Natural Science Foundation of China[61773075] ; National Natural Science Foundation of China[61533017] ; National Natural Science Foundation of China[U1501251] ; Early Career Development Award of SKLMCCS[20180201]
WOS关键词ADAPTIVE OPTIMAL-CONTROL ; TIME LINEAR-SYSTEMS ; LEARNING ALGORITHM ; TRACKING CONTROL ; FEEDBACK-CONTROL ; NEURAL-NETWORK ; ROBUST ; DYNAMICS ; GAMES
WOS研究方向Computer Science
语种英语
出版者ELSEVIER
WOS记录号WOS:000536808100018
资助机构National Natural Science Foundation of China ; Early Career Development Award of SKLMCCS
内容类型期刊论文
源URL[http://ir.ia.ac.cn/handle/173211/39628]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_智能化团队
通讯作者Zhao, Bo
作者单位1.Beijing Normal Univ, Sch Syst Sci, Beijing 100875, Peoples R China
2.Natl Comp Network Emergency Response Tech Team Co, Beijing 100029, Peoples R China
3.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
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Zhao, Bo,Shi, Guang,Wang, Ding. Asymptotically stable critic designs for approximate optimal stabilization of nonlinear systems subject to mismatched external disturbances[J]. NEUROCOMPUTING,2020,396:201-208.
APA Zhao, Bo,Shi, Guang,&Wang, Ding.(2020).Asymptotically stable critic designs for approximate optimal stabilization of nonlinear systems subject to mismatched external disturbances.NEUROCOMPUTING,396,201-208.
MLA Zhao, Bo,et al."Asymptotically stable critic designs for approximate optimal stabilization of nonlinear systems subject to mismatched external disturbances".NEUROCOMPUTING 396(2020):201-208.
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