Differential game guidance law considering second-order dynamics with zeros of missile autopilots

Abstract

Considering the missile autopilot as second-order dynamics with two zeros, a guidance law is designed using differential game theory. The autopilot dynamics are better to be described as a second-order system with two zeros because of the non-minimum phase property in practical. However, second-order dynamics with two zeros are so complicated that some guidance law design methods are difficult to be applied. The differential game guidance (DGG) law can be designed without the restriction of system equations. In this paper, the pursuer (missile) strategy is derived against the evader (target) strategy that is determined without knowledge about the pursuer autopilot dynamics in the linear-quadratic pursuit-evasion game. The optimal missile strategy improves the performance of the game-theoretic guidance law for homing missiles by taking into account the autopilot dynamics. Simulation results show that the proposed guidance law behaves better than the current guidance law not considering the missile autopilot dynamics.