Adaptive Dynamic Programming for Finite-Horizon Optimal Control of Discrete-Time Nonlinear Systems with ε-Error Bound
Fei-Yue Wang1; Ning Jin2; Derong Liu1,2; Qinglai Wei1
发表期刊IEEE Transactions on Neural Networks
2011
卷号22期号:1页码:24-36
摘要In this paper, we study the finite-horizon optimal
control problem for discrete-time nonlinear systems using the
adaptive dynamic programming (ADP) approach. The idea is to
use an iterative ADP algorithm to obtain the optimal control
law which makes the performance index function close to the
greatest lower bound of all performance indices within an
ε-error bound. The optimal number of control steps can also
be obtained by the proposed ADP algorithms. A convergence
analysis of the proposed ADP algorithms in terms of performance
index function and control policy is made. In order to facilitate
the implementation of the iterative ADP algorithms, neural
networks are used for approximating the performance index
function, computing the optimal control policy, and modeling the
nonlinear system. Finally, two simulation examples are employed
to illustrate the applicability of the proposed method.
关键词Adaptive Critic Designs Adaptive Dynamic Programming Approximate Dynamic Programming Learning Control Neural Control Neural Dynamic Programming Optimal Control Reinforcement Learning.
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/12372
专题多模态人工智能系统全国重点实验室_平行智能技术与系统团队
通讯作者Derong Liu
作者单位1.the Key Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences,Beijing 100190, China
2.the Department of Electrical and Computer Engineering,University of Illinois, Chicago, IL 60607 USA
第一作者单位中国科学院自动化研究所
通讯作者单位中国科学院自动化研究所
推荐引用方式
GB/T 7714
Fei-Yue Wang,Ning Jin,Derong Liu,et al. Adaptive Dynamic Programming for Finite-Horizon Optimal Control of Discrete-Time Nonlinear Systems with ε-Error Bound[J]. IEEE Transactions on Neural Networks,2011,22(1):24-36.
APA Fei-Yue Wang,Ning Jin,Derong Liu,&Qinglai Wei.(2011).Adaptive Dynamic Programming for Finite-Horizon Optimal Control of Discrete-Time Nonlinear Systems with ε-Error Bound.IEEE Transactions on Neural Networks,22(1),24-36.
MLA Fei-Yue Wang,et al."Adaptive Dynamic Programming for Finite-Horizon Optimal Control of Discrete-Time Nonlinear Systems with ε-Error Bound".IEEE Transactions on Neural Networks 22.1(2011):24-36.
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