Pursuit evasion games using collision cones

dc.contributor.authorSunkara, Vishwamithra
dc.contributor.authorChakravarthy, Animesh
dc.contributor.authorGhose, Debasish
dc.date.accessioned2022-10-03T22:04:42Z
dc.date.available2022-10-03T22:04:42Z
dc.date.issued2018-01-07
dc.descriptionClick on the DOI to access this article (may not be free).
dc.description.abstractThis 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.
dc.description.sponsorshipThe first two authors would like to acknowledge support from the National Science Foundation. This material is based upon work supported by the National Science Foundation under Grants IIS- 1351677 and CNS-1446557.
dc.identifier.citationSunkara, V., Chakravarthy, A., & Ghose, D. (2018). Pursuit evasion games using collision cones. Paper presented at the AIAA Guidance, Navigation, and Control Conference, 2018, (210039) doi:10.2514/6.2018-2108 Retrieved from www.scopus.com
dc.identifier.isbn978-1-62410-526-5
dc.identifier.urihttps://doi.org/10.2514/6.2018-2108
dc.identifier.urihttps://soar.wichita.edu/handle/10057/24124
dc.language.isoen_US
dc.publisherAmerican Institute of Aeronautics and Astronautics, Inc.
dc.relation.ispartofseriesAIAA Guidance, Navigation, and Control Conference
dc.relation.ispartofseries2018
dc.rights.holder© 2018 by Vishwamithra Sunkara, Animesh Chakravarthy, Debasish Ghose.
dc.subjectHeading angle
dc.subjectGuidance laws
dc.subjectRobots
dc.subjectClosed loop
dc.subjectNonlinear dynamic inversion
dc.subjectProbability distribution
dc.subjectOptimal control theory
dc.subjectNetwork security
dc.subjectMotion planning
dc.subjectRobotics
dc.titlePursuit evasion games using collision cones
dc.typeConference paper
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