Approximation-error-ADP-based optimal tracking control for chaotic systems with convergence proof  

作　　者：宋睿卓 肖文栋 孙长银 魏庆来 

机构地区：[1]School of Automation and Electrical Engineering,University of Science and Technology Beijing [2]The State Key Laboratory of Management and Control for Complex Systems,Institute of Automation,Chinese Academy of Sciences

出　　处：《Chinese Physics B》2013年第9期305-311,共7页中国物理B（英文版）

基　　金：supported by the Open Research Project from SKLMCCS (Grant No. 20120106);the Fundamental Research Funds for the Central Universities of China (Grant No. FRF-TP-13-018A);the Postdoctoral Science Foundation of China (Grant No. 2013M530527);the National Natural Science Foundation of China (Grant Nos. 61304079, 61125306, and 61034002)

摘　　要：In this paper, an optimal tracking control scheme is proposed for a class of discrete-time chaotic systems using the approximation-error-based adaptive dynamic programming （ADP） algorithm. Via the system transformation, the optimal tracking problem is transformed into an optimal regulation problem, and then the novel optimal tracking control method is proposed. It is shown that for the iterative ADP algorithm with finite approximation error, the iterative performance index functions can converge to a finite neighborhood of the greatest lower bound of all performance index functions under some convergence conditions. Two examples are given to demonstrate the validity of the proposed optimal tracking control scheme for chaotic systems.In this paper, an optimal tracking control scheme is proposed for a class of discrete-time chaotic systems using the approximation-error-based adaptive dynamic programming （ADP） algorithm. Via the system transformation, the optimal tracking problem is transformed into an optimal regulation problem, and then the novel optimal tracking control method is proposed. It is shown that for the iterative ADP algorithm with finite approximation error, the iterative performance index functions can converge to a finite neighborhood of the greatest lower bound of all performance index functions under some convergence conditions. Two examples are given to demonstrate the validity of the proposed optimal tracking control scheme for chaotic systems.

关 键 词：chaotic systems approximation error adaptive dynamic programming optimal tracking control 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]