Infinite horizon self-learning optimal control of nonaffine discrete-time nonlinear systems

IEEE Transactions on Neural Networks and Learning Systems
Qinglai WeiXiong Yang

Abstract

In this paper, a novel iterative adaptive dynamic programming (ADP)-based infinite horizon self-learning optimal control algorithm, called generalized policy iteration algorithm, is developed for nonaffine discrete-time (DT) nonlinear systems. Generalized policy iteration algorithm is a general idea of interacting policy and value iteration algorithms of ADP. The developed generalized policy iteration algorithm permits an arbitrary positive semidefinite function to initialize the algorithm, where two iteration indices are used for policy improvement and policy evaluation, respectively. It is the first time that the convergence, admissibility, and optimality properties of the generalized policy iteration algorithm for DT nonlinear systems are analyzed. Neural networks are used to implement the developed algorithm. Finally, numerical examples are presented to illustrate the performance of the developed algorithm.

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Citations

Sep 10, 2015·IEEE Transactions on Neural Networks and Learning Systems·Yan-Jun LiuC L Philip Chen
Nov 10, 2015·IEEE Transactions on Cybernetics·Qinglai WeiHanquan Lin
Aug 21, 2015·IEEE Transactions on Neural Networks and Learning Systems·Qinglai WeiPengfei Yan
May 3, 2015·IEEE Transactions on Cybernetics·Ruizhuo SongHuaguang Zhang
Mar 16, 2016·IEEE Transactions on Neural Networks and Learning Systems·Yan-Jun LiuC L Philip Chen
Mar 2, 2016·IEEE Transactions on Neural Networks and Learning Systems·Shengli XieYan Zhang
Dec 25, 2015·IEEE Transactions on Neural Networks and Learning Systems·Yufei TangTingwen Huang
Aug 19, 2015·IEEE Transactions on Neural Networks and Learning Systems·Avimanyu SahooSarangapani Jagannathan
Jul 15, 2016·IEEE Transactions on Neural Networks and Learning Systems·Biao LuoDing Wang
Oct 25, 2016·IEEE Transactions on Neural Networks and Learning Systems·Kyriakos G VamvoudakisJoao P Hespanha
Feb 26, 2016·IEEE Transactions on Neural Networks and Learning Systems·Yuanming ZhuWenli Du
Jul 23, 2016·IEEE Transactions on Neural Networks and Learning Systems·Ruizhuo SongQinglai Wei
Apr 20, 2016·IEEE Transactions on Cybernetics·Qinglai WeiRuizhuo Song
Feb 1, 2017·IEEE Transactions on Neural Networks and Learning Systems·Qinglai WeiRuizhuo Song
Apr 1, 2017·IEEE Transactions on Neural Networks and Learning Systems·Huaguang ZhangHe Jiang
Apr 1, 2017·IEEE Transactions on Neural Networks and Learning Systems·Lei LiuHuaguang Zhang
Apr 1, 2017·IEEE Transactions on Neural Networks and Learning Systems·Qinglai WeiRuizhuo Song
May 18, 2018·IEEE Transactions on Neural Networks and Learning Systems·Zhanshan WangHuaguang Zhang
May 18, 2018·IEEE Transactions on Neural Networks and Learning Systems·Huaguang ZhangYang Cui
Jul 23, 2016·IEEE Transactions on Cybernetics·Qinglai WeiRuizhuo Song
Jul 7, 2017·IEEE Transactions on Cybernetics·Ding WangDerong Liu

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