Knowledge Commons of Institute of Automation，CAS
| A New Approach to Finite-Horizon Optimal Control for Discrete-Time Affine Nonlinear Systems via a Pseudolinear Method | |
Wei, Qinglai1,2,3 ; Zhu, Liao1,2,3; Li, Tao1,2,3; Liu, Derong4
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| 发表期刊 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
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| ISSN | 0018-9286 |
| 2022-05-01 | |
| 卷号 | 67期号:5页码:2610-2617 |
| 摘要 | In this article, a new time-varying adaptivedynamic programming (ADP) algorithm is developed to solve finite-horizon optimal control problems for a class of discrete-time affine nonlinear systems. Inspired by the pseudolinear method, the nonlinear system can be approximated by a series of time-varying linear systems. In each iteration of the time-varying ADP algorithm, the optimal control law for the time-varying linear system is obtained. For an arbitrary initial state, it is proven that states of the time-varying linear systems converge to the states of discrete-time affine nonlinear systems. It is also shown that the iterative value functions and the iterative control laws converge to the optimal value function and the optimal control law, respectively. Finally, numerical results are presented to verify the effectiveness of the present method. |
| 关键词 | Time-varying systems Nonlinear systems Optimal control Heuristic algorithms Dynamic programming Neural networks Linear systems Adaptive dynamic programming approximate dynamic programming finite horizon nonlinear systems optimal control pseudolinear approximation |
| DOI | 10.1109/TAC.2021.3087452 |
| 收录类别 | SCI |
| 语种 | 英语 |
| 资助项目 | National Key Research and Development Program of China[2018YFB1702300] ; National Natural Science Foundation of China[62073321] ; National Natural Science Foundation of China[62073085] ; Guangdong Introducing Innovative and Enterpreneurial Teams of The Pearl River Talent Recruitment Program[2019ZT08X340] |
| 项目资助者 | National Key Research and Development Program of China ; National Natural Science Foundation of China ; Guangdong Introducing Innovative and Enterpreneurial Teams of The Pearl River Talent Recruitment Program |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| WOS类目 | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS记录号 | WOS:000794194000045 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 七大方向——子方向分类 | 平行管理与控制 |
| 国重实验室规划方向分类 | 智能计算与学习 |
| 是否有论文关联数据集需要存交 | 否 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ia.ac.cn/handle/173211/49420 |
| 专题 | 多模态人工智能系统全国重点实验室_复杂系统智能机理与平行控制团队 |
| 通讯作者 | Wei, Qinglai |
| 作者单位 | 1.Chinese Acad Sci, State Key Lab Management & Control Complex Syst, Inst Automat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Artificial Intelligence, Beijing 100049, Peoples R China 3.Macau Univ Sci & Technol, Inst Syst Engn, Macau 999078, Peoples R China 4.Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China |
| 第一作者单位 | 中国科学院自动化研究所 |
| 通讯作者单位 | 中国科学院自动化研究所 |
| 推荐引用方式 GB/T 7714 | Wei, Qinglai,Zhu, Liao,Li, Tao,et al. A New Approach to Finite-Horizon Optimal Control for Discrete-Time Affine Nonlinear Systems via a Pseudolinear Method[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2022,67(5):2610-2617. |
| APA | Wei, Qinglai,Zhu, Liao,Li, Tao,&Liu, Derong.(2022).A New Approach to Finite-Horizon Optimal Control for Discrete-Time Affine Nonlinear Systems via a Pseudolinear Method.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,67(5),2610-2617. |
| MLA | Wei, Qinglai,et al."A New Approach to Finite-Horizon Optimal Control for Discrete-Time Affine Nonlinear Systems via a Pseudolinear Method".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 67.5(2022):2610-2617. |
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