A finite-time gain measure and its application to coordinated targets assignment

Assigning targets to multiple flight vehicles which perform a cooperative mission becomes more involved considering the complex environments. In this paper, an coordinated target assignment scheme is proposed based on a finite-time gain measure. The target assignment problem is formulated as multiple Linear Time Varying (LTV) systems. A finite-time generalized H₂ measure and its performance criterion are given for the LTV system in this paper, which can be calculated by solving a differential Riccati equation with improved Davison-Maki method. An assignment evaluation index is proposed for targets allocation considering the Zero Effect Miss distance. The targets are assigned by comparing the evaluation indexes. Simulation results are presented to show the effectiveness of the proposed method.