Finite-Time Stabilization of the Generalized Bouc-Wen Model for Piezoelectric Systems

When designing controllers for piezoelectric systems with hysteresis, usually simplified models are used. This can lead to inaccuracies in the closed-loop system response. In this letter, we pose the problem of tracking stabilization of piezoelectric systems using the generalized Bouc-Wen model, a highly non-linear system rarely used to design controllers. Besides, we consider only partially knowledge of one hysteresis system parameter and external disturbances in all the system states. We propose an interconnected control composed of three parts for the solution: an observer, a virtual hysteresis control, and actuator control. It is demonstrated that the closed-loop system converges in finite time. Simulation experiments were carried out, demonstrating the effectiveness of our approach despite exogenous and unknown disturbances.