Pursuit evasion games using collision cones

Sunkara, V and Chakravarthy, A and Ghose, D (2018) Pursuit evasion games using collision cones. In: AIAA Guidance, Navigation, and Control Conference, 2018, 8 - 12 January 2018, Kissimmee, Florida.

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Abstract

This paper presents a preliminary study into the use of collision cones in analyzing pursuit evasion games between two objects of arbitrary shapes. A two-player pursuit evasion game is considered, wherein a single pursuer tries to capture a single evader who, in turn, tries to avoid capture. The collision cone is defined as the set of instantaneous velocities that cause one player to lie on a collision course with the other. The evader applies an acceleration to drive the relative velocity vector out of the collision cone, while the pursuer applies an acceleration to drive the relative velocity vector into the collision cone. Two different matrix games are considered, and saddle points (defined by the scenarios wherein the relative velocity vector is aligned with the boundary of the collision cone at the instant of closest approach) are determined.

Item Type:	Conference Paper
Publication:	AIAA Guidance, Navigation, and Control Conference, 2018
Publisher:	American Institute of Aeronautics and Astronautics Inc, AIAA
Additional Information:	The copyright for this article belongs to the American Institute of Aeronautics and Astronautics Inc.
Keywords:	Aviation; Navigation, Arbitrary shape; Collision course; Matrix game; Pursuit evasion games; Relative velocity; Saddle point, Velocity
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	24 Aug 2022 06:13
Last Modified:	24 Aug 2022 11:50
URI:	https://eprints.iisc.ac.in/id/eprint/76092

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