Active vibration control of a thick piezolaminated beam with imperfectly integrated sensor and actuator layers

Abstract

A spatial state-space formulation based on the linear two-dimensional piezoelasticity theory and involving local/global transfer matrices is applied to investigate the active vibration suppression of a simply supported, arbitrarily thick, orthotropic elastic beam, imperfectly integrated with spatially distributed piezoelectric actuator and sensor layers on its top and bottom surfaces, respectively. A linear spring-layer model is adopted to simulate the bonding imperfections between the host structure and the piezoelectric layers. To assist control system design, system identification is conducted by applying a frequency domain subspace approximation method with N4SID algorithm. The state space model is constructed from system identification and used for state estimation and development of control algorithm. A linear quadratic Gaussian (LQG) controller is subsequently designed and simulated based on the identified model in order to actively control the response of the smart structure. The accuracy of analysis is established with the aid of a commercial finite element package.