In this paper, we consider the guidance law design problem for two fight vehicles cooperatively intercepting a maneuvering target. The aim of cooperative interception is to improve the hit-to-kill accuracy under large detection noises. We first formulate the cooperative interception problem into a stochastic control model without assuming that the Separation Theorem is holding, and a terminal miss distance is defined for the two intercepting flight vehicles cooperative interception. Moreover, the Probability Density Function (PDF) of the defined terminal miss distance is calculated. Then, by minimizing the expectation of the defined terminal miss distance, the optimal positions of the intercepting flight vehicles are obtained and the control law is designed based on the optimal control theory. Last, simulation experiments are carried out to illustrate the effectiveness of the proposed approach.
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