Young-Sam Kim/Tae-Hun Kim/Min-Jea Tahk
International Journal of Aeronautical and Space Sicences, vol. 11, no. 2, pp.110-117, 2010

Abstract : We propose guidance laws that are based on pursuit-evasion game. The game solutions are obtained from the pursuit-evasion game solver developed by the authors. In this paper, we introduce a direct method to solve planar pursuit-evasion games with control variable constraints, in which the game solution is sought by iteration of the steps of update and correction. The initial value of the game solution is used for guidance of the evader and the pursuer, and then the pursuit-evasion game is solved again at the next time step. In this respect, the proposed guidance laws are similar to the approach of model predictive control. The proposed guidance method is compared with proportional navigation guidance for a pursuit-evasion scenario, in which the evader always tries to maximize the capture time. The capture sets of the two guidance methods are demonstrated.

Keyword : Pursuit-Evasion Game, Differential Game, Direct Method