| With the development of modern missile technology, the capability of missile breakthrough has become increasingly strong; the difficulty of missile defense is also gradually increased. In order to increase the interceptor's lethality while reducing costs, proposed to use the main and auxiliary interceptors through collaborative guidance. During the interception process, the auxiliary interceptor needs to share the information of the main interceptor; it also put forward the requirements of formation flight.For designing the collaborative guidance, we establish the relative motion model of the interceptor and target. Through the analysis of the linear equation motion, we found that the real problem of the cooperative guidance is a guidance problem with time constraints. So, the problem can be transformed into linear optimal control problems. In this paper, we design the time collaborative guidance law using the optimal control minimum theory. The cooperative guidance simulation results show that the guidance law we designed can achieve the requirements that multiple interceptors intercept targets at the same time through the cooperative guidance.For multi interceptor formation flight, we designed two kinds of control methods. One is based on the relative motion equation of the main and auxiliary interceptors formation flight. First, we calculate relative distance between the main and auxiliary interceptor, project it onto the inertial coordinate system. Then, we designed the control law based on the relative motion equation. The other is based on the equations of motion of the auxiliary interceptor. According to the current location of the main interceptor, we can calculate the two auxiliary interceptors'position where they should be, and then control each auxiliary interceptor to track the each instruction of its location. Comparing the simulation of the two methods, shows that the formation flight control method based on the equations of motion of the auxiliary interceptor has better control effect. |