Gain-Scheduled H1 Control of a Missile via Linear Matrix Inequalities

This paper is concerned with the application of advanced Linear Parameter-Varying (LPV) techniques to the global control of a missile. The LPV technique considered in this paper is an extension of the standard H 1 synthesis technique to the case where the plant depends aanely on a time-varying vector (t). Working in the class of LPV plants, the proposed methodology produces an LPV controller. That is, a controller which is automatically "gain-scheduled" along the trajectories of the plant. LPV controllers solutions to the problem are characterized via a set of Riccati Linear Matrix Inequalities (LMI) which can be solved using convex programming. The missile under consideration is highly non-linear and non-stationary. Its LPV model exhibits brutal parameter variations as functions of the ight conditions (angle of attack, speed, altitude). Additionally, some measurements are corrupted by exible modes and the performance requirements are very strong. Since they obliterate the LPV nature of the plant, usual Linear Time Invariant techniques may be helpless for this problem. The power and advantages of the proposed methodology as an eecient tool to handle the global performances and robustness of the missile on its whole operating range are demonstrated.