An approach to three-dimensional aircraft pursuit-evasion

AbstractAn algorithm for obtaining a state-feedback control law for near-optimal aircraft pursuit-evasion in three dimensions is outlined. Key features of the approach are the use of singular-perturbation ideas to decouple the dynamics of each of the two players and the use of a reference frame that decouples the slow subsystem extremals of one player from those of the other. The resulting subproblems are then tractable for closed-loop solution, and the solutions may be combined to give a control law feasible for real-time implementation. Compared with past analyses of pursuit-evasion games, our dynamic model is higher order and more realistic; therefore, our results should be of practical value for aircraft control. And because we use fewer time-scales than were used in past analyses of flight dynamic problems by singular-perturbation methods, our algorithm should be more accurate

A medium-range air combat game solution by a pilot advisory system

Air-to-air combat between two aggressive aircraft , both equipped with medium-range guided missiles, is .a key element of future air warfare. This dynamic coni lict can be viewed as an interaction of a twotarget diiferential game (between the air--craft) and two independent missileaircraft pursuit-evasion games. The information structure is, however, rather intricate: though perfect information can be assumed between the two aircraft, the missiles have a limited detection range, beyond which information has to be forwarded by the launching aircraft. Moreover, missile firing cannot be assumed detectable. Problems of such complexity haven't been treated yet in the frame of\ud classical differential game theory. In this paper a prototype Pilot Advisory\ud System (PADS), designed to solve the problems facing the pilot in such an\ud engagement, is described. PADS proposed to be an expert System, which operates in real--time and has a "knowledge base" incorporating differential game concepts and solution elements. PADS simultaneously evalua.tes potential success with the respective risks and advises the pilot when to fire his missile and when to start an evasive maneuver. This advisory system can guarantee survival when so desired by the pilot. but in most situations it maximizes the probability of victory with an accepted level of' risk