Discrete-Time Stable Generalized Self-Learning Optimal Control With Approximation Errors

doi:10.1109/TNNLS.2017.2661865

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	Discrete-Time Stable Generalized Self-Learning Optimal Control With Approximation Errors
	Wei, Qinglai1,2 ; Li, Benkai1 ; Song, Ruizhuo 3
刊名	IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
	2018-04-01
卷号	29 期号:4 页码:1226-1238
关键词	Adaptive Critic Designs Adaptive Dynamic Programming (Adp) Approximate Dynamic Programming Generalized Policy Iteration (Gpi) Neural Networks Neurodynamic Programming Nonlinear Systems Optimal Control Reinforcement Learning
DOI	10.1109/TNNLS.2017.2661865
文献子类	Article
英文摘要	In this paper, a generalized policy iteration (GPI) algorithm with approximation errors is developed for solving infinite horizon optimal control problems for nonlinear systems. The developed stable GPI algorithm provides a general structure of discrete-time iterative adaptive dynamic programming algorithms, by which most of the discrete-time reinforcement learning algorithms can be described using the GPI structure. It is for the first time that approximation errors are explicitly considered in the GPI algorithm. The properties of the stable GPI algorithm with approximation errors are analyzed. The admissibility of the approximate iterative control law can be guaranteed if the approximation errors satisfy the admissibility criteria. The convergence of the developed algorithm is established, which shows that the iterative value function is convergent to a finite neighborhood of the optimal performance index function, if the approximate errors satisfy the convergence criterion. Finally, numerical examples and comparisons are presented.
WOS关键词	DYNAMIC-PROGRAMMING ALGORITHM ; ZERO-SUM GAMES ; NONLINEAR-SYSTEMS ; TRACKING CONTROL ; UNKNOWN DYNAMICS ; VALUE-ITERATION ; CONTROL SCHEME ; REINFORCEMENT ; DESIGN
WOS研究方向	Computer Science ; Engineering
语种	英语
WOS记录号	WOS:000427859600037
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/13634]
专题	复杂系统管理与控制国家重点实验室_平行控制
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, Beijing 100049, Peoples R China 3.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Wei, Qinglai,Li, Benkai,Song, Ruizhuo. Discrete-Time Stable Generalized Self-Learning Optimal Control With Approximation Errors[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2018,29(4):1226-1238.
APA	Wei, Qinglai,Li, Benkai,&Song, Ruizhuo.(2018).Discrete-Time Stable Generalized Self-Learning Optimal Control With Approximation Errors.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,29(4),1226-1238.
MLA	Wei, Qinglai,et al."Discrete-Time Stable Generalized Self-Learning Optimal Control With Approximation Errors".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 29.4(2018):1226-1238.