Abstract In order to solve the multi-vs-one interception problem, the cooperative confrontation guidance law based on differential game was studied, and the multi-vs-one linear relative motion equation was constructed. By analyzing the principle of game theory, the performance function of two-side game confrontation was constructed, and the state transition matrix was used to reduce the dimension of the state equation. Based on the optimal control principle, the cooperative confrontation guidance law from multi-vs-one confrontation game angle was solved. By analyzing the process of two-stop-one confrontation, the differential game guidance law of two-stop-one cooperative confrontation is obtained. For different types of targets, the simulation of two-stop-one guidance law is carried out for performance verification, so as to reflect the effectiveness of the guidance law proposed in this paper in the process of cooperative interception of targets.
2022, Vol. 5 
