Knowledge Commons of Institute of Automation，CAS
| Policy Iteration for Optimal Control of Discrete-Time Time-Varying Nonlinear Systems | |
| Guangyu Zhu; Xiaolu Li; Ranran Sun; Yiyuan Yang; Peng Zhang | |
| Source Publication | IEEE/CAA Journal of Automatica Sinica
 |
| ISSN | 2329-9266 |
| 2023 | |
| Volume | 10Issue:3Pages:781-791 |
| Abstract | 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. |
| Keyword | Adaptive critic designs adaptive dynamic programming approximate dynamic programming optimal control policy iteration time-varying |
| DOI | 10.1109/JAS.2023.123096 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.ia.ac.cn/handle/173211/51188 |
| Collection | 学术期刊_IEEE/CAA Journal of Automatica Sinica |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| JAS-2021-0894.pdf（2432KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View | |
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