Robust Guidance Design Based on Guaranteed Cost Control

The problem of uncertain homing missile guidance is considered. The guidance control is designed with the state feedback of guaranteed cost control. On the basis of LMI, the robust stabilizing controller is presented, and a guidance algorithm is given which can successfully guide the missile to the target. Meanwhile, the upper bound of system performance is given. For a portable homing missile, the ideal trajectories are protracted. Simulations show the algorithm can successfully guide the missile to head-on or tail-on the maneuver target. Furthermore, for the same target, comparisons are carried out in the case of the different missile launching site. It is illustrated that the designed guidance algorithm is not only robust to disturbance but also small normal overload especially on the encountering time.