Self-scheduled H∞ control of a missile via LMIs

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_∞ synthesis technique to the case where the plant depends affinely on a time-varying vector θ(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 a very demanding plant. The power and advantages of the proposed methodology as an efficient tool to handle the global performances and robustness of the missile on its whole operating range are demonstrated