PN Modified Differential Game Strategy for Two-on-one Cooperative Interception

Abstract

In order to deal with the Chaff, Infrared Decoy, Electronic Jamming and the escaping maneuvering of the target, two-on-one cooperative interception strategy is discussed in this paper. The planar engagement of two air-to-air missiles cooperative intercepting one target by the alliance of differential game (DG) strategy and proportional navigation (PN) guidance law is investigated. The equations of motion for two-on-one cooperative intercepting are derived first, and zero-effort-miss (ZEM) representation technique is employed. Then a linear quadratic differential game cooperative zero-sum cost function is phrased, and the cooperative control variables of two-on-one cooperative guidance law under pure DG strategy are derivate. Finally, the proportional navigation guidance law is introduced to alleviate the acceleration command oscillation. The simulation results in the ideal dynamic scenarios show that, the combination of DG and PN guidance law is effective to the two-on-one cooperative pursuit-evasion problem, especially for the high maneuvering target at the cost of much more control effort.