Toward a Differential Game Solution to a Practical Two Aircraft Pursuit-Evasion Problem in Three-Dimensional Space
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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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.
- Operations Research
- Unconventional Warfare