Bounded guidance law based on differential game for three-player conflict

This paper focuses on the phase when the defender uses its optimal strategy to protect the target from a homing missile. Optimal guidance law based on differential game with bounded control is derived assuming that the homing missile, target and it´s defender have linearized kinematics, arbitrary-order linear adversaries´ dynamics, and perfect information. The obtained guidance law is dependent on the zero-effort miss distance of two pursuer-evader pairs: attacker with target and defender with attacker. For adversaries with first-order dynamics, the simulation results show the relationship between the initial conditions and the optimal strategies.