Fuzzy linear programming based radar subset selection for target localization in UAV system

Abstract

This paper represented a method of radar subset selection based on fuzzy linear programming (FLP) for target localization in UAV radar system. Unlike existing radar subset selection policies, the cost factor of each radar is assigned a fixed value, from the fact that it is determined by the will of the decision maker in most cases, thus has a large extent of fuzziness — in this paper, we consider it as a fuzzy variable when selecting a subset of radars to achieve the localization minimum estimation mean-square error (MSE). In the first, the Cramer Rao bound (CRB) for localization estimation error is derived, which is used as a performance metric when selecting a subset of radars needed to complete a task. In the second, a heuristic algorithm based on FLP is proposed for radar subset selection. At last, a fuzzy objective function is constructed, and a reasonable solution is given by using the fuzzy simulation technique comparing with the case, where the cost factors in the objective function are previously assigned.