NDLI: Robust strategies for differential games under uncertain dynamics and the relation to robust H∞ control

Content Provider	IEEE Xplore Digital Library
Author	Zeng Xianwei Tang Ye Ding Youzhi Wang Guoqing Xiao Qingzheng
Copyright Year	2013
Description	Author affiliation: No.54 Inst., Chinese People's Liberation Army, Beijing, China (Zeng Xianwei; Tang Ye; Ding Youzhi; Wang Guoqing; Xiao Qingzheng)
Abstract	This paper deals with the robust strategy for a class of differential games under uncertain dynamics. In this game, no player knows precisely model of the game, and time-varying uncertainty enters in all matrices. The notion of robust strategy is proposed based on global performance index, and a mini-max strategy for pursuer and a max-min strategy for evader turn out to be the robust strategy by constructing two auxiliary differential games with completely known parameters. It is shown that the mini-max strategy of pursuer coincides with robust H∞ control. Simulation results illustrate the correctness of the proposed theory.
Starting Page	535
Ending Page	540
File Size	719819
Page Count	6
File Format	PDF
ISBN	9781467362481
e-ISBN	9781467362498
DOI	10.1109/ICICIP.2013.6568133
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-06-09
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertain systems Uncertainty Games Robustness Performance analysis Linear matrix inequalities Equations
Content Type	Text
Resource Type	Article

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Robust strategies for differential games under uncertain dynamics and the relation to robust H∞ control