Pursuit and evasion games: semi-direct and cooperative control methods

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Title: Pursuit and evasion games: semi-direct and cooperative control methods
Author: Parish III, Allen S.
Abstract: Pursuit and evasion games have garnered much research attention since the class of problems was first posed over a half century ago . With wide applicability to both civilian and military problems , the study of pursuit and evasion games showed much early promise . Early work generally focused on analytical solutions to games involving a single pursuer and a single evader . These solutions generally assumed simple system dynamics to facilitate convergence to a solution . More recently , numerical techniques have been utilized to solve more difficult problems . While many sophisticated numerical tools exist for standard optimization and optimal control problems , developing a more complete set of numerical tools for pursuit and evasion games is still a developing topic of research . This thesis extends the current body of numeric solution tools in two ways . First , an existing approach that modifies sophisticated optimization tools to solve two player pursuer and evasion games is extended to incorporate a class of state inequality constraints . Several classical problems are solved to illustrate the e ?cacy of the new approach . Second , a new cooperation metric is introduced into the system objective function for multi -player pursuit and evasion games . This new cooperation metric encourages multiple pursuers to surround and then proceed to capture an evader . Several examples are provided to demonstrate this new cooperation metric .
URI: http : / /hdl .handle .net /1969 .1 /ETD -TAMU -2668
Date: 2009-05-15

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Pursuit and evasion games: semi-direct and cooperative control methods. Available electronically from http : / /hdl .handle .net /1969 .1 /ETD -TAMU -2668 .

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