Application of Differential Dynamic Programming to an Air-to-Air Missile Guidance Problem Modeled as a Differential Game.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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An intercept problem between an air-to-air missile and an aircraft is modeled as a zero sum, free final time differential game which includes nonlinear dynamics and a payoff related to the kill probability. Previous research has shown that the currently used guidance scheme, proportional navigation, is nonoptimal in this type of problem formulation and a higher kill probability is possible with a guidance law based upon a differential game theory. A differential dynamic programming method is applied to the intercept problem in the search for a real-time solution. A convergence control procedure is introduced in an attempt to enhance the convergence of the typically long-time solution methods. The closed-loop guidance law which results is compared to both proportional navigation and some exact open-loop solutions by means of an off-line simulation on a CDC 6600 computer. The method does not yield a real-time solution for this problem and does not give improvement over a proportional navigation scheme. Author
- Statistics and Probability
- Guided Missile Trajectories, Accuracy and Ballistics