Distribution of miss distance for pursuit-evasion problem

Miss distance is a critical parameter of assessing the performance for highly maneuvering targets interception ( HMTI ) . In a realistic terminal guidance system, the control of pursuer μ depends on the estimate of unknown state, thus the miss distance becomes a random variable with a prior unknown distribution. Currently, such a distribution is mainly evaluated by the method of Monte Carlo simulation. In this paper, by integrating the estimation error model of zero-effort miss distance ( ZEM ) obtained by our previous work, an analytic method for solving the distribution of miss distance is proposed, in which the system is presumed to use a bang-bang control strategy. By comparing with the results of Monte Carlo simulations under four different types of disturbances ( maneuvers ) , the correctness of the proposed method is validated. Results of this paper provide a powerful tool for the design, analysis and performance evaluation of guidance system.

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