Online approximate solution of HJI equation for unknown constrained-input nonlinear continuous-time systems
Yang, Xiong; Liu, Derong; Ma, Hongwen; Xu, Yancai
2016-01-20
发表期刊INFORMATION SCIENCES
卷号328页码:435-454
文章类型Article
摘要This paper is concerned with the approximate solution of Hamilton-Jacobi-Isaacs (HJI) equation for constrained-input nonlinear continuous-time systems with unknown dynamics. We develop a novel online adaptive dynamic programming-based algorithm to learn the solution of the HJI equation. The present algorithm is implemented via an identifier-critic architecture, which consists of two neural networks (NNs): an identifier NN is applied to estimate the unknown system dynamics and a critic NN is constructed to obtain the approximate solution of the HJI equation. An advantage of the proposed architecture is that the identifier NN and the critic NN are tuned simultaneously. With introducing two additional terms, namely, the stabilizing term and the robustifying term to update the critic NN, the initial stabilizing control is no longer required. Meanwhile, the developed critic tuning rule not only ensures convergence of the critic to the optimal saddle point but also guarantees stability of the closed-loop system. Moreover, the uniform ultimate boundedness of the weights of the identifier NN and the critic NN are proved by using Lyapunov's direct method. Finally, to illustrate the effectiveness and applicability of the developed approach, two simulation examples are provided. (C) 2015 Elsevier Inc. All rights reserved.
关键词Adaptive Dynamic Programming Hamilton-jacobi-isaacs Equation Input Constraint Neural Network Optimal Control Reinforcement Learning
WOS标题词Science & Technology ; Technology
DOI10.1016/j.ins.2015.09.001
关键词[WOS]ZERO-SUM GAMES ; DYNAMIC-PROGRAMMING ALGORITHM ; ADAPTIVE OPTIMAL-CONTROL ; STATE-FEEDBACK CONTROL ; H-INFINITY CONTROL ; LEARNING ALGORITHM ; NEURAL-NETWORKS ; CONTROL DESIGN ; ARCHITECTURE ; FORMULATION
收录类别SCI
语种英语
项目资助者National Natural Science Foundation of China(61034002 ; Beijing Natural Science Foundation(4132078) ; Early Career Development Award of the State Key Laboratory of Management and Control for Complex Systems (SKLMCCS) ; 61233001 ; 61273140 ; 61304086 ; 61374105)
WOS研究方向Computer Science
WOS类目Computer Science, Information Systems
WOS记录号WOS:000365054800028
引用统计
被引频次:28[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/10518
专题复杂系统管理与控制国家重点实验室_平行控制
作者单位Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
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GB/T 7714
Yang, Xiong,Liu, Derong,Ma, Hongwen,et al. Online approximate solution of HJI equation for unknown constrained-input nonlinear continuous-time systems[J]. INFORMATION SCIENCES,2016,328:435-454.
APA Yang, Xiong,Liu, Derong,Ma, Hongwen,&Xu, Yancai.(2016).Online approximate solution of HJI equation for unknown constrained-input nonlinear continuous-time systems.INFORMATION SCIENCES,328,435-454.
MLA Yang, Xiong,et al."Online approximate solution of HJI equation for unknown constrained-input nonlinear continuous-time systems".INFORMATION SCIENCES 328(2016):435-454.
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