An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games

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	An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games
	Zhang, Huaguang 1; Wei, Qinglai2 ; Liu, Derong 2
发表期刊	AUTOMATICA
	2011
卷号	47 期号:1 页码:207-214
文章类型	Article
摘要	In this paper, a new iterative adaptive dynamic programming (ADP) method is proposed to solve a class of continuous-time nonlinear two-person zero-sum differential games. The idea is to use the ADP technique to obtain the optimal control pair iteratively which makes the performance index function reach the saddle point of the zero-sum differential games. If the saddle point does not exist, the mixed optimal control pair is obtained to make the performance index function reach the mixed optimum. Stability analysis of the nonlinear systems is presented and the convergence property of the performance index function is also proved. Two simulation examples are given to illustrate the performance of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.
关键词	Adaptive Critic Designs Adaptive Dynamic Programming Approximate Dynamic Programming Neural Network Zero-sum Differential Games
WOS标题词	Science & Technology ; Technology
关键词[WOS]	SYSTEMS ; EQUATION
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000286704500025
引用统计	被引频次：338[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/173211/3534
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
作者单位	1.Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China 2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Huaguang,Wei, Qinglai,Liu, Derong. An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games[J]. AUTOMATICA,2011,47(1):207-214.
APA	Zhang, Huaguang,Wei, Qinglai,&Liu, Derong.(2011).An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games.AUTOMATICA,47(1),207-214.
MLA	Zhang, Huaguang,et al."An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games".AUTOMATICA 47.1(2011):207-214.