Self-Triggered Finite Time Pursuit Strategy for a Two-Player Game

A continuous-time two player pursuit-evasion game is considered. The players have double-integrator dynamics with bounded acceleration inputs. Unlike, conventional pursuit strategies, it is assumed that, the pursuer does not have continuous access to the states of the players. In this paper, we propose a self-triggered pursuit strategy, in which, the pursuer can choose when the state-information needs to be updated next. The proposed strategy is based on the time-optimal pursuit strategy for a game in which state information is available continuously to both the players. When the bound on acceleration of the evader is smaller than that of the pursuer, the proposed strategy guarantees capture in finite time, with finite number of information updates.