In this paper, we develop a linear parameter varying (LPV) model for the structural systems including the Magneto-Rheological (MR) dampers where the LPV parameter is the MR damper velocity. We then propose an LPV anti-windup control design method to prevent the closed-loop system instability and performance degradation due to the MR damper actuator saturation. The proposed control design method accounts for the actuator nonlinearities by representing the status of the saturated actuator as an additional gain-scheduled varying parameter. The resulting controller is scheduled with respect to the system operating parameter and the actuator saturation parameter. Simulation results demonstrate that the anti-windup compensator scheduled based on the MR damper velocity and the saturation parameter is able to keep the voltage within the specified limits and meets the design requirement of rejecting the effect of the external disturbance signals.

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