Control of Random Vibrations of Composite Plates With Piezoelectric Actuators

Abstract

Abstract A study of the use of H∞ control design to suppress the vibrations of composites plates embedded with piezoelectric actuators under random loading is presented. The finite element method is employed to obtain the dynamic equations of a plate vibration of fully coupled structural and electrical nodal degrees of freedom (DOF). The modal reduction method is adopted to reduce the finite element equations into a set of modal equations with fewer DOF. The modal equations are then employed for controller design and simulation. Results of the modal convergence study of the closed loop systems show that the truncated modes, which are neglected in the control design, deteriorate the controller performance and affect the optimal location and size of the actuator. The vibrations of plates subjected under off-resonant narrow-band excitations cannot be suppressed effectively. The controller shaped with an extra weight function for mitigating measurement noise effect gives better vibration reduction performance.