Galloping Control of a Cantilever Beam using Piezoelectric Actuator with H_∞ Control Theory

Abstract

This paper describes a method of robust vibration control of a cantilever elastic beam in a uniform smooth wind stream. As the actuator, a pair of piezoelectric columns is fixed under base aluminium plates at which the cantilever beam is clamped. Its natural frequencies are calculated by the transform matrix method, and then the mode coordinate is introduced to establish state equations of this control system. A robust controller is designed to suppress galloping of the cantilever beam by applying H_∞ control theory. Simulation and experiment were carried out, and the results were compared with those of LQR control. It was found that robust stability and nominal performance were achieved, and an excellent control effect was obtained by H_∞ control. The usefulness of the proposed control technique is verified by simulation and experiment.