Knowledge Commons of Institute of Automation,CAS
Online approximate solution of HJI equation for unknown constrained-input nonlinear continuous-time systems | |
Yang, Xiong; Liu, Derong; Ma, Hongwen; Xu, Yancai | |
发表期刊 | INFORMATION SCIENCES |
2016-01-20 | |
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 |
DOI | 10.1016/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 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/10518 |
专题 | 多模态人工智能系统全国重点实验室_复杂系统智能机理与平行控制团队 |
作者单位 | Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China |
第一作者单位 | 中国科学院自动化研究所 |
推荐引用方式 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. |
条目包含的文件 | 下载所有文件 | |||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
Online approximate s(833KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论