Proceedings ArticleDOI
Two-an-One Pursuit with a Non-Zero Capture Radius
Patrick Wasz,Meir Pachter,Khan Pham +2 more
- pp 577-582
TLDR
The algorithm for the synthesis of the optimal state feedback strategies of the cooperating pursuers and of the evader is presented and it is shown that the regions in the state space where only one pursuer effects the capture are characterized, thus solving the Game of Kind.Abstract:
In this paper, we revisit the “Two Cutters and Fugitive Ship” differential game that was addressed by Isaacs, but move away from point capture. We consider a two-on-one pursuit-evasion differential game with simple motion and pursuers endowed with circular capture sets of radius l > 0. The regions in the state space where only one pursuer effects the capture and the region in the state space where both pursuers cooperatively and isochronously capture the evader are characterized, thus solving the Game of Kind. Concerning the Game of Degree, the algorithm for the synthesis of the optimal state feedback strategies of the cooperating pursuers and of the evader is presented.read more
Citations
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Journal ArticleDOI
On a Two Cutters and Fugitive Ship Differential Game
Meir Pachter,Patrick Wasz +1 more
TL;DR: The state space region where capture is guaranteed, notwithstanding the fact that the cutters are not faster than the fugitive ship, is delineated, and the protagonists’ optimal state feedback strategies are synthesized.
Book ChapterDOI
Isaacs’ Two-on-One Pursuit-Evasion Game
TL;DR: In this paper, the authors considered a pursuit-evasion differential game in the Euclidean plane, where two pursuers, say cutters, chase a fugitive ship, the evader.
Journal ArticleDOI
The Target Guarding Problem: A real time solution for noise corrupted measurements
TL;DR: A real time strategy is derived for the pursuer when the evader’s position and speed measurements are corrupted by noise, and this strategy is validated through experiments conducted on a test-bed consisting of mobile robots.
Journal ArticleDOI
Two-On-One Pursuit When the Pursuers Have the Same Speed as the Evader
Mark Vlassakis,Meir Pachter +1 more
TL;DR: In this paper, a two-on-one pursuit-evasion differential game is considered, where the three players have equal speeds and the two cutters/pursuers have a non-zero capture radius.
An Analytic Study of Pursuit Strategies
TL;DR: Evidence that conventional strategy for “optimal” evasive maneuver is incorrect for three-on-one pursuit-evasion is provided and collision course and pure pursuit guidance is analyzed.
References
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TL;DR: In this article, an optimal pursuit-evasion fighter maneuver is formulated as a differential game and then solved by a recently developed numerical method, semidirect collocation with nonlinear programming.