Output feedback tracking control for polytopic linear parameter varying systems with application to an air-breathing hypersonic vehicle

Abstract

This paper develops output feedback tracking control techniques for polytopic Linear Parameter Varying (LPV) systems. Based on a kind of polytopic LPV system, an LPV state observer is designed to estimate the unmeasured state variables. Applying the estimated system state, a robust observer-based LPV output feedback controller is designed. The observer error and tracking error are proved to converge to a small neighborhood of the origin via Lypapunov function analysis method. The condition of the resulting LPV output feedback controller synthesis is given in terms of linear matrix inequalities (LMIs). Finally, the presented method is illustrated with an application to an air-breathing hypersonic vehicle. Simulation results show that the proposed controller performs well and exhibits good tracking performance.