Generalized Policy Iteration Adaptive Dynamic Programming for Discrete-Time Nonlinear Systems
文献类型:期刊论文
作者 | Liu, Derong; Wei, Qinglai![]() ![]() |
刊名 | IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
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出版日期 | 2015-12-01 |
卷号 | 45期号:12页码:1577-1591 |
关键词 | Adaptive critic designs adaptive dynamic programming (ADP) approximate dynamic programming generalized policy iteration neural networks neuro-dynamic programming nonlinear systems optimal control reinforcement learning |
英文摘要 | This paper is concerned with a novel generalized policy iteration algorithm for solving optimal control problems for discrete-time nonlinear systems. The idea is to use an iterative adaptive dynamic programming algorithm to obtain iterative control laws which make the iterative value functions converge to the optimum. Initialized by an admissible control law, it is shown that the iterative value functions are monotonically nonincreasing and converge to the optimal solution of Hamilton-Jacobi-Bellman equation, under the assumption that a perfect function approximation is employed. The admissibility property is analyzed, which shows that any of the iterative control laws can stabilize the nonlinear system. Neural networks are utilized to implement the generalized policy iteration algorithm, by approximating the iterative value function and computing the iterative control law, respectively, to achieve approximate optimal control. Finally, numerical examples are presented to verify the effectiveness of the present generalized policy iteration algorithm. |
WOS标题词 | Science & Technology ; Technology |
类目[WOS] | Automation & Control Systems ; Computer Science, Cybernetics |
研究领域[WOS] | Automation & Control Systems ; Computer Science |
关键词[WOS] | OPTIMAL TRACKING CONTROL ; ZERO-SUM GAMES ; LEARNING OPTIMAL-CONTROL ; CONTROL SCHEME ; UNKNOWN DYNAMICS ; APPROXIMATION ERRORS ; CRITIC DESIGNS ; HJB SOLUTION ; REINFORCEMENT ; ALGORITHM |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000366891300009 |
源URL | [http://ir.ia.ac.cn/handle/173211/10646] ![]() |
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 |
作者单位 | 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 | Liu, Derong,Wei, Qinglai,Yan, Pengfei. Generalized Policy Iteration Adaptive Dynamic Programming for Discrete-Time Nonlinear Systems[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,2015,45(12):1577-1591. |
APA | Liu, Derong,Wei, Qinglai,&Yan, Pengfei.(2015).Generalized Policy Iteration Adaptive Dynamic Programming for Discrete-Time Nonlinear Systems.IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,45(12),1577-1591. |
MLA | Liu, Derong,et al."Generalized Policy Iteration Adaptive Dynamic Programming for Discrete-Time Nonlinear Systems".IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 45.12(2015):1577-1591. |
入库方式: OAI收割
来源:自动化研究所
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