The three-body engagement consists of three vehicles
which are an evading target
a defending missile launched by the target
and a homing missile. An adaptive collaborative guidance strategy for the target and the defender is proposed to protect the target from the homing missile. Firstly
it is assumed that the perfect information of the homing missile is known. The optimal collaborative guidance laws for the target and defender are derived by using optimal control theory to minimize the missile-defender miss distance and control effort of the target and defender. Then
the real engagement condition with unknown missile's guidance strategy and measurement noise is considered. Adaptive collaborative guidance laws are proposed based on the multiple-model adaptive estimator with square-root cubature Kalman filter(MMAE-SRCKF)and the optimal collaborative guidance laws. MMAE-SRCKF is used to estimate the guidance law and state information of the homing missile. The adaptive collaborative guidance laws are derived by combining each model's optimal collaborative guidance laws. Simulation results show that the defender hits the homing missile with less control effort in the aid of the target by using the proposed optimal collaborative guidance laws
and the miss distance is smaller than 0.1 m. The proposed adaptive collaborative guidance laws estimate the state information of the missile accurately and make the target and defender act as a team to hit the homing missile.
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