Abstract:

The optimization of an observer trajectory when the observer tracks a constant acceleration target is taken into account. First, optimal control theory is applied to establish the optimal trajectory model of an observer. Second, at the global range accuracy criterion, necessary conditions for the optimal observer course are resolved by analytical means. Finally, the influences of speed of the observer, acceleration of targets, relative target initialization range, and target course on the optimal observer trajectory are discussed by simulation. Simulation results show that the optimal observer trajectory is almost smooth when near targets approach the observer at small acceleration and the observer should maneuver at high speed along the optimal trajectory for the sake of tracking constant acceleration targets accurately.