Data-Based Optimal Tracking of Autonomous Nonlinear Switching Systems
Xiaofeng Li; Lu Dong; Changyin Sun
刊名IEEE/CAA Journal of Automatica Sinica
2021
卷号8期号:1页码:227-238
关键词Adaptive dynamic programming approximation error data-based control Q-learning switching system
ISSN号2329-9266
DOI10.1109/JAS.2020.1003486
英文摘要In this paper, a data-based scheme is proposed to solve the optimal tracking problem of autonomous nonlinear switching systems. The system state is forced to track the reference signal by minimizing the performance function. First, the problem is transformed to solve the corresponding Bellman optimality equation in terms of the Q-function (also named as action value function). Then, an iterative algorithm based on adaptive dynamic programming (ADP) is developed to find the optimal solution which is totally based on sampled data. The linear-in-parameter (LIP) neural network is taken as the value function approximator. Considering the presence of approximation error at each iteration step, the generated approximated value function sequence is proved to be boundedness around the exact optimal solution under some verifiable assumptions. Moreover, the effect that the learning process will be terminated after a finite number of iterations is investigated in this paper. A sufficient condition for asymptotically stability of the tracking error is derived. Finally, the effectiveness of the algorithm is demonstrated with three simulation examples.
内容类型期刊论文
源URL[http://ir.ia.ac.cn/handle/173211/43910]  
专题自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica
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Xiaofeng Li,Lu Dong,Changyin Sun. Data-Based Optimal Tracking of Autonomous Nonlinear Switching Systems[J]. IEEE/CAA Journal of Automatica Sinica,2021,8(1):227-238.
APA Xiaofeng Li,Lu Dong,&Changyin Sun.(2021).Data-Based Optimal Tracking of Autonomous Nonlinear Switching Systems.IEEE/CAA Journal of Automatica Sinica,8(1),227-238.
MLA Xiaofeng Li,et al."Data-Based Optimal Tracking of Autonomous Nonlinear Switching Systems".IEEE/CAA Journal of Automatica Sinica 8.1(2021):227-238.
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