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.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/ETD-TAMU-2668 |
| Date | 15 May 2009 |
| Creators | Parish III, Allen S. |
| Contributors | Hurtado, John E., Song, Dezhen |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Thesis, text |
| Format | electronic, application/pdf, born digital |
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