A State Space Partitioning Scheme for Vehicle Control in Pursuit-Evasion Scenarios

dc.contributor.authorGoode, Brian Josephen
dc.contributor.committeechairRoach, John W.en
dc.contributor.committeememberKurdila, Andrew J.en
dc.contributor.committeememberLeonessa, Alexanderen
dc.contributor.committeememberPapenfuss, Cory M.en
dc.contributor.committeememberStilwell, Daniel J.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:22:38Zen
dc.date.adate2011-11-01en
dc.date.available2014-03-14T21:22:38Zen
dc.date.issued2011-10-21en
dc.date.rdate2011-11-01en
dc.date.sdate2011-10-28en
dc.description.abstractPursuit-evasion games are the subject of a variety of research initiatives seeking to provide some level of autonomy to mobile, robotic vehicles with on-board controllers. Applications of these controllers include defense topics such as unmanned aerial vehicle (UAV) and unmanned underwater vehicle (UUV) navigation for threat surveillance, assessment, or engagement. Controllers implementing pursuit-evasion algorithms are also used for improving everyday tasks such as driving in traffic when used for collision avoidance maneuvers. Currently, pursuit-evasion tactics are incorporated into the control by solving the Hamilton-Jacobi-Isaacs (HJI) equation explicitly, simplifying the solution using approximate dynamic programming, or using a purely finite-horizon approach. Unfortunately, these methods are either subject to difficulties of long computational times or having no guarantees of succeeding in the pursuit-evasion game. This leads to more difficulties of implementing these tactics on-line in a real robotic scenario where the opposing agent may not be known before the maneuver is required. This dissertation presents a novel method of solving the HJI equation by partitioning the state space into regions of local, finite horizon control laws. As a result, the HJI equation can be reduced to solving the Hamilton-Jacobi-Bellman equation recursively as information is received about an opposing agent. Adding complexity to the problem structure results in a decreased calculation time to allow pursuit-evasion tactics to be calculated on-board an agent during a scenario. The algorithms and implementation methods are given explicitly and illustrated with an example of two robotic vehicles in a collision avoidance maneuver.en
dc.description.degreePh. D.en
dc.identifier.otheretd-10282011-170419en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10282011-170419/en
dc.identifier.urihttp://hdl.handle.net/10919/40266en
dc.publisherVirginia Techen
dc.relation.haspartGoode_BJ_D_2011.pdfen
dc.relation.haspartGoode_BJ_D_2011_Copyright.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBellman optimalityen
dc.subjectdifferential gamesen
dc.subjectpursuit-evasionen
dc.subjectpath planningen
dc.subjectvehicle controlen
dc.titleA State Space Partitioning Scheme for Vehicle Control in Pursuit-Evasion Scenariosen
dc.typeDissertationen
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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