Stability Analysis of a Piezoelectric Vibration Controller for an Euler-Bernoulli Beam

Abstract

Piezoelectric actuators are capable of generating a distributed moment, and can be used to control the motion of a flexible structure. A simple piesoelectric damper is considered here for controlling the vibration of a cantilever Euler-Bernoulli beam. Asymptotic stability of the closed loop system is established via a distributed parameter extension of Liapunov's direct method.