Abstract:

To solve the problems of multi-to-one pursuit-evasion system of missiles, including limited control, target ability to actively identify incoming missiles and evade them, extensive cluster calculation, and potential collision between bombs, the distributed anti-collision cooperative guidance law based on differential game is studied. Firstly, agents in the cluster are divided into leaders and followers. A performance index function for the game confrontation between the two parties is constructed. The optimal control strategy of the chasing parties online by adaptive dynamics programming technology is solved. The stability is proved by Lyapunov method. Then, based on multi-agent consistency theory and algebraic graph theory, using the relative distance between the missile and the target as the coordinating variable, combined with the sliding mode control method, the distributed cooperation among followers is realized. Finally, to the problem of collision between agents when the relative distance is coordinated, the artificial potential field method is used to realize anti-collision. Simulation results verify the effectiveness of the guidance law proposed when the target adopts the optimal maneuver.

Key words: multi-to-one pursuit-evasion, differential game, distributed cooperation, sliding mode control, artificial potential field