Equilibrium Strategy of the Pursuit-Evasion Game in Three-Dimensional Space

doi:10.1109/JAS.2023.123996

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	Equilibrium Strategy of the Pursuit-Evasion Game in Three-Dimensional Space
	Nuo Chen; Linjing Li; Wenji Mao
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2024
卷号	11 期号:2 页码:446-458
摘要	The pursuit-evasion game models the strategic interaction among players, attracting attention in many realistic scenarios, such as missile guidance, unmanned aerial vehicles, and target defense. Existing studies mainly concentrate on the cooperative pursuit of multiple players in two-dimensional pursuit-evasion games. However, these approaches can hardly be applied to practical situations where players usually move in three-dimensional space with a three-degree-of-freedom control. In this paper, we make the first attempt to investigate the equilibrium strategy of the realistic pursuit-evasion game, in which the pursuer follows a three-degree-of-freedom control, and the evader moves freely. First, we describe the pursuer’s three-degree-of-freedom control and the evader’s relative coordinate. We then rigorously derive the equilibrium strategy by solving the retrogressive path equation according to the Hamilton-Jacobi-Bellman-Isaacs (HJBI) method, which divides the pursuit-evasion process into the navigation and acceleration phases. Besides, we analyze the maximum allowable speed for the pursuer to capture the evader successfully and provide the strategy with which the evader can escape when the pursuer’s speed exceeds the threshold. We further conduct comparison tests with various unilateral deviations to verify that the proposed strategy forms a Nash equilibrium.
关键词	Differential game equilibrium strategy pursuit-evasion game threedegree-of-freedom control
DOI	10.1109/JAS.2023.123996
引用统计
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/54554
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Nuo Chen,Linjing Li,Wenji Mao. Equilibrium Strategy of the Pursuit-Evasion Game in Three-Dimensional Space[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(2):446-458.
APA	Nuo Chen,Linjing Li,&Wenji Mao.(2024).Equilibrium Strategy of the Pursuit-Evasion Game in Three-Dimensional Space.IEEE/CAA Journal of Automatica Sinica,11(2),446-458.
MLA	Nuo Chen,et al."Equilibrium Strategy of the Pursuit-Evasion Game in Three-Dimensional Space".IEEE/CAA Journal of Automatica Sinica 11.2(2024):446-458.

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