Anti-windup augmented controller for active vibration control in a smart flexible structure

In this paper, we propose to explore some recent results on the control of systems with saturations on control input. The purpose is to carry out the active vibration control in a classical smart flexible structure. The practical problem considered here is that of a flexible beam with one edge embedded into a movable support and the other free. This beam is equipped with two piezoelectric patches: one of them is used as an actuator and the other is used as a sensor. For reasons of experimental implementation, the control input is constrained by a symmetric and bipolar saturation at a given level. The main goal of this work is to design an anti-windup augmented controller in order to recover some linear closed-loop performances in the presence of this non-linearity.