Analysis of Optimal Evasive Maneuvers Based on a Linearized Two-Dimensional Kinematic Model

Optimal evasion against a proportionally guided pursuer

“…However, the formulations employed in [2][3][4][5] do not treat the evader with the same degree of accuracy as the pursuer. Evader dynamics are either ignored (assuming an ideal system ) or approximated by imposing some bounds.…”

“…The optimal control approach for the evasion problem [2][3][4][5] indicated the importance of applying a realistic model for the pursuer, and demonstratcd that either a finite order system or pure time delay leads to an optimal evasive maneuver that guarantees a non-zero miss-distance.…”

“…The optimal control analyses have demonstrated, by applying a more realistic model for the pursuer's dynamics, (such as pure time delay in [3] or some linite order system in [2], [4]) that the evader can guarantee a finlte miss-distance even in conflict with a pursuer of unlimited maneuverability, for which a zero miss distance was predicted by the differential game theory [6].…”

“…Slater and Wells [3], followed by Shinar and Steinberg [4], used linear kinematics to model the two-dimensional problem. Accordingly the associated two point boundary value problem (TPBVP) has been solved, and in some cases an analytical solution has been obtained.…”

A genetic programming methodology for missile countermeasures optimization under uncertainty

“…The missile countermeasures optimization (MCO) problem has been the subject of intensive research [12], [6], [13], [2]. Closed-form analytic and control-theoretic solutions require the evading aircraft to execute specific sequences of maneuvers at precise distances from the pursuing missile.…”