Modeling and vibration control of a plate coupled with piezoelectric material

This paper investigates the design of μ-synthesis controller for vibration control of a plate with piezoelectric patches. A numerical model with the consideration of the coupling between the PZT actuators and host plate is first derived. Using the model, a μ-controller is synthesized, in which model uncertainties are quantified by uncertainty weights included in the control design process. Experiments are then performed to verify the effectiveness of the present design approach, using the dSPACE DS 1103 and simulation tools in conjunction with MATLAB/Simulink. It is shown that, as an alternative of purely experimental approach, the established model provides a useful tool for the controller design, pointing to a straightforward extension to the case of multi-layer composite laminates and other composite structures.