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Continuous-Time Time-Varying Policy Iteration

文献类型：期刊论文

作者Wei, Qinglai1,2; Liao, Zehua1,2; Yang, Zhanyu1,2; Li, Benkai1,2; Liu, Derong3
刊名IEEE TRANSACTIONS ON CYBERNETICS
出版日期2020-12-01
卷号50期号:12页码:4958-4971
关键词Optimal control Nonlinear systems Time-varying systems Mathematical model Dynamic programming Approximation algorithms Iterative algorithms Adaptive critic designs adaptive dynamic programming (ADP) neuro-dynamic programming nonlinear systems optimal control policy iteration
ISSN号2168-2267
DOI10.1109/TCYB.2019.2926631
通讯作者Wei, Qinglai(qinglai.wei@ia.ac.cn)
英文摘要A novel policy iteration algorithm, called the continuous-time time-varying (CTTV) policy iteration algorithm, is presented in this paper to obtain the optimal control laws for infinite horizon CTTV nonlinear systems. The adaptive dynamic programming (ADP) technique is utilized to obtain the iterative control laws for the optimization of the performance index function. The properties of the CTTV policy iteration algorithm are analyzed. Monotonicity, convergence, and optimality of the iterative value function have been analyzed, and the iterative value function can be proven to monotonically converge to the optimal solution of the Hamilton-Jacobi-Bellman (HJB) equation. Furthermore, the iterative control law is guaranteed to be admissible to stabilize the nonlinear systems. In the implementation of the presented CTTV policy algorithm, the approximate iterative control laws and iterative value function are obtained by neural networks. Finally, the numerical results are given to verify the effectiveness of the presented method.
WOS关键词APPROXIMATE OPTIMAL-CONTROL ; ADAPTIVE OPTIMAL-CONTROL ; NONLINEAR-SYSTEMS ; FEEDBACK-CONTROL ; DESIGN ; INPUT ; GAMES ; SUM
资助项目National Natural Science Foundation of China[61503379] ; National Natural Science Foundation of China[61722312] ; National Natural Science Foundation of China[61533017] ; National Natural Science Foundation of China[U1501251]
WOS研究方向Automation & Control Systems ; Computer Science
语种英语
WOS记录号WOS:000597151500009
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
资助机构National Natural Science Foundation of China
源URL[http://ir.ia.ac.cn/handle/173211/42667]  
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Wei, Qinglai
作者单位1.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Artificial Intelligence, Beijing 100049, Peoples R China
3.Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China
推荐引用方式
GB/T 7714		 Wei, Qinglai,Liao, Zehua,Yang, Zhanyu,et al. Continuous-Time Time-Varying Policy Iteration[J]. IEEE TRANSACTIONS ON CYBERNETICS,2020,50(12):4958-4971.
APA Wei, Qinglai,Liao, Zehua,Yang, Zhanyu,Li, Benkai,&Liu, Derong.(2020).Continuous-Time Time-Varying Policy Iteration.IEEE TRANSACTIONS ON CYBERNETICS,50(12),4958-4971.
MLA Wei, Qinglai,et al."Continuous-Time Time-Varying Policy Iteration".IEEE TRANSACTIONS ON CYBERNETICS 50.12(2020):4958-4971.

入库方式： OAI收割

来源：自动化研究所

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