H(2) state-feedback control for LPV systems with input saturation and matched disturbance

Abstract

This paper proposes a controller design for linear parameter-varying (LPV) systems with input saturation and a matched disturbance. On the basis of the feedback gain matrix K(theta(t)) and the Lyapunov function V (x(t)), three types of controllers are suggested under H-2 performance conditions. To this end, the conditions used for designing the H-2 state-feedback controller are first formulated in terms of parameterized linear matrix inequalities (PLMIs). They are then converted into linear matrix inequalities (LMIs) using a parameter relaxation technique. The simulation results illustrate the effectiveness of the proposed controllers.