Accession Number:

AD0729777

Title:

Toward a Differential Game Solution to a Practical Two Aircraft Pursuit-Evasion Problem in Three-Dimensional Space

Descriptive Note:

Master's thesis

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s):

Report Date:

1971-06-01

Pagination or Media Count:

126.0

Abstract:

A practical two aircraft pursuit-evasion problem in three-dimensional space is posed as a zero sum, perfect information differential game. The purpose of the thesis is to solve this differential game and to obtain optimal or near optimal closed-loop control laws for the two players. Three models of the aircraft dynamics are used. The first model is primarily a realistic one, and as the state equations are non-linear and highly coupled, it is not possible to obtain optimal closed-loop solutions. The second model is a simplified version of the first. Using this model, the solution is carried further - the costate variables are eliminated from the controls - but closed-loop solutions still cannot be found. The third model used has different controls from the other two, but is roughly similar in nature. Optimal closed-loop controls are obtained for this model. The results obtained from these models show that the three-dimensional problem cannot be considered as a simple extension of the two- dimensional game. The necessary inclusion of the bank angle or a similar control introduces an extra order of complexity into the problem.

Subject Categories:

  • Operations Research
  • Unconventional Warfare

Distribution Statement:

APPROVED FOR PUBLIC RELEASE