The terminal guidance law design under the complex detection circumstance

The problem of guidance control of an interceptor against a ballistic missile flying with some decoys around is studied in this paper. Before the determination of the real target, it is necessary for the interceptor to keep targets reachable as many as possible. First, the terminal guidance problem is analyzed under the complex detection circumstance, and the missile-target relative motion equations are established in the line-of-sight coordinate system. Secondly, the Kalman Filter theory is applied to estimate the missile-target relative motion information and the prediction of the targets´ state information is obtained. The probability density function of the targets´ position is also calculated at the final time. Thirdly, the terminal predictive guidance law is proposed, which leads the interceptor to the optimal position by predicting the optimal set of positions reachable by the interceptor at the end of the interception for the next sampling moment. Finally, the necessary simulation experiments are conducted to illustrate the performance of the proposed method.