H2 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(θ(t)) and the Lyapunov function V (x(t)), three types of controllers are suggested under H2 performance conditions. To this end, the conditions used for designing the H2 statefeedback controller are rst 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 e ectiveness of the proposed controllers.