Policy Iteration for Optimal Control of Discrete-Time Time-Varying Nonlinear Systems

doi:10.1109/JAS.2023.123096

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	Policy Iteration for Optimal Control of Discrete-Time Time-Varying Nonlinear Systems
	Guangyu Zhu; Xiaolu Li; Ranran Sun; Yiyuan Yang; Peng Zhang
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2023
卷号	10 期号:3 页码:781-791
摘要	Aimed at infinite horizon optimal control problems of discrete time-varying nonlinear systems, in this paper, a new iterative adaptive dynamic programming algorithm, which is the discrete-time time-varying policy iteration (DTTV) algorithm, is developed. The iterative control law is designed to update the iterative value function which approximates the index function of optimal performance. The admissibility of the iterative control law is analyzed. The results show that the iterative value function is non-increasingly convergent to the Bellman-equation optimal solution. To implement the algorithm, neural networks are employed and a new implementation structure is established, which avoids solving the generalized Bellman equation in each iteration. Finally, the optimal control laws for torsional pendulum and inverted pendulum systems are obtained by using the DTTV policy iteration algorithm, where the mass and pendulum bar length are permitted to be time-varying parameters. The effectiveness of the developed method is illustrated by numerical results and comparisons.
关键词	Adaptive critic designs adaptive dynamic programming approximate dynamic programming optimal control policy iteration time-varying
DOI	10.1109/JAS.2023.123096
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/51188
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Guangyu Zhu,Xiaolu Li,Ranran Sun,et al. Policy Iteration for Optimal Control of Discrete-Time Time-Varying Nonlinear Systems[J]. IEEE/CAA Journal of Automatica Sinica,2023,10(3):781-791.
APA	Guangyu Zhu,Xiaolu Li,Ranran Sun,Yiyuan Yang,&Peng Zhang.(2023).Policy Iteration for Optimal Control of Discrete-Time Time-Varying Nonlinear Systems.IEEE/CAA Journal of Automatica Sinica,10(3),781-791.
MLA	Guangyu Zhu,et al."Policy Iteration for Optimal Control of Discrete-Time Time-Varying Nonlinear Systems".IEEE/CAA Journal of Automatica Sinica 10.3(2023):781-791.

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