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A New Approach to Finite-Horizon Optimal Control for Discrete-Time Affine Nonlinear Systems via a Pseudolinear Method

文献类型：期刊论文

作者Wei, Qinglai2,3,4; Zhu, Liao2,3,4; Li, Tao2,3,4; Liu, Derong1
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2022-05-01
卷号67期号:5页码:2610-2617
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
ISSN号0018-9286
DOI10.1109/TAC.2021.3087452
通讯作者Wei, Qinglai(qinglai.wei@ia.ac.cn)
英文摘要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.
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]
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000794194000045
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
资助机构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
源URL[http://ir.ia.ac.cn/handle/173211/49419]  
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
通讯作者Wei, Qinglai
作者单位1.Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China
2.Macau Univ Sci & Technol, Inst Syst Engn, Macau 999078, Peoples R China
3.Univ Chinese Acad Sci, Sch Artificial Intelligence, Beijing 100049, Peoples R China
4.Chinese Acad Sci, State Key Lab Management & Control Complex Syst, Inst Automat, Beijing 100190, Peoples R China
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.

入库方式： OAI收割

来源：自动化研究所

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