Abstract:

For the scenario where the target can actively defend against the attacking missile, a differential game guidance law for intercepting the active defense target is proposed. Firstly, the relative motion models of attacking missle, target and defending missle are established, and linearization around the current collision triangles is performed. Secondly, assuming that the defending missile is using a known linear guidance law, the confrontation problem between the attacking missile and the target is described as a linear quadratic differential game problem with inequality constraint. Finally, based on the differential game theory, the guidance law of the attacking missile is designed. Using the guidance law, two objectives can be achieved simultaneously, which are evasion from the defending missile with specified miss distance; perfect interception of the target. Simulation results show the high performance of the guidance law.

Key words: active defense, guidance law, differential game, inequality constraints