Gain Scheduling Resonant Control with Anti-Windup Compensation for LPV Systems

In this paper, we address the problem of periodic reference tracking and disturbance rejection under control saturation for linear parameter-varying - LPV systems robust to small period variations. The proposed controller is based on a modified resonant structure and a gain scheduling state-feedback, while saturation effects are mitigated through a scheduled anti-windup compensator. Control design is carried out by the solution of an optimization problem under matrix inequalities constraints that ensure closed-loop stability and performance. In addition, it is possible to determine admissible sets for both initial conditions and references/disturbances amplitudes for which tracking/rejection is guaranteed with a bounded steady-state tracking error. A numerical example illustrates the method.