Multi-missiles Guidance and Allocation

Sammanfattning: The purpose of the project is the development and study of guidance algorithms of missiles in the particular configuration of the simultaneous use of two pursuers to intercept one evader. The profits of this configuration are applied to allocation in a three missiles – two targets scenario. The implemented techniques deal with optimal control theory, more particularly with differential game theory, mainly the linear and linear quadratics, which are commonly used in guidance law. Differential game theory allows determining the optimal commands of the players of one pursuer - one evader game with the minimization of the miss distance for the pursuer and maximization of the same miss distance for the evader as criteria of this optimal problem. A new optimal command law for the evader is developed in the two pursuers against one evader game (called 2x1 games) with the same time-to-go as well as with different time-togo. These new optimal commands are implemented and validates in two 2D simulations: a linear one, developed in Matlab script, and a non linear one, based on a Simulink model. An extension of the capture zones of each missile is demonstrated and tested in simulations. The 2x1 game and the induced no-escape-zone extension are finally integrated and verified in realistic simulation with a 6 d.o.f missile Simulink model. The 2x1 configuration’s use is applied to allocation on 3 pursuers - 2 evaders scenarios based on the same 3D missile model and the benefits are analysed.