Neuro-Optimal Trajectory Tracking With Value Iteration of Discrete-Time Nonlinear Dynamics
Wang, Ding2,3; Ha, Mingming1; Cheng, Long4,5
刊名IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
2021-11-08
页码12
关键词Trajectory Heuristic algorithms Convergence Trajectory tracking Stability criteria Optimal control Dynamic programming Adaptive critic design discrete-time nonlinear plants neuro-optimal trajectory tracking uniformly ultimately bounded stability value iteration
ISSN号2162-237X
DOI10.1109/TNNLS.2021.3123444
通讯作者Wang, Ding(dingwang@bjut.edu.cn)
英文摘要In this article, a novel neuro-optimal tracking control approach is developed toward discrete-time nonlinear systems. By constructing a new augmented plant, the optimal trajectory tracking design is transformed into an optimal regulation problem. For discrete-time nonlinear dynamics, the steady control input corresponding to the reference trajectory is given. Then, the value-iteration-based tracking control algorithm is provided and the convergence of the value function sequence is established. Therein, the approximation error between the iterative value function and the optimal cost is estimated. The uniformly ultimately bounded stability of the closed-loop system is also discussed in detail. Moreover, the iterative heuristic dynamic programming (HDP) algorithm is implemented by involving the critic and action components, where some new updating rules of the action network are provided. Finally, two examples are used to demonstrate the optimality of the present controller as well as the effectiveness of the proposed method.
资助项目Beijing Natural Science Foundation[JQ19013] ; National Natural Science Foundation of China[61773373] ; National Natural Science Foundation of China[61873268] ; National Natural Science Foundation of China[62025307] ; National Natural Science Foundation of China[61890930-5] ; National Natural Science Foundation of China[62021003] ; National Key Research and Development Project[2018YFC1900800-5]
WOS关键词ADAPTIVE-CONTROL ; LINEAR-SYSTEMS ; STABILITY
WOS研究方向Computer Science ; Engineering
语种英语
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号WOS:000733510800001
资助机构Beijing Natural Science Foundation ; National Natural Science Foundation of China ; National Key Research and Development Project
内容类型期刊论文
源URL[http://ir.ia.ac.cn/handle/173211/46938]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_先进机器人控制团队
通讯作者Wang, Ding
作者单位1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
2.Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China
3.Beijing Univ Technol, Fac Informat Technol, Beijing Key Lab Computat Intelligence & Intellige, Beijing Lab Smart Environm Protect, Beijing 100124, Peoples R China
4.Univ Chinese Acad Sci, Sch Artificial Intelligence, Beijing 100049, Peoples R China
5.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Wang, Ding,Ha, Mingming,Cheng, Long. Neuro-Optimal Trajectory Tracking With Value Iteration of Discrete-Time Nonlinear Dynamics[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2021:12.
APA Wang, Ding,Ha, Mingming,&Cheng, Long.(2021).Neuro-Optimal Trajectory Tracking With Value Iteration of Discrete-Time Nonlinear Dynamics.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,12.
MLA Wang, Ding,et al."Neuro-Optimal Trajectory Tracking With Value Iteration of Discrete-Time Nonlinear Dynamics".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS (2021):12.
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