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 |
DOI | 10.1016/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 |
推荐引用方式 GB/T 7714 | 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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