Akbari S., Yousefi-Koma A., Khanmirza E.

Abstract Three system identification (System ID) techniques of flexible structures with piezoelectric actuators (i.e. smart structures) are presented in this paper. As the first method, the Finite Element Method (FEM) is employed to model the dynamic system and to obtain the Frequency Response Function (FRF). Then the µ synthesis technique is used to match a transfer function to the FRF plot (i.e. numerical system identification). Another numerical System ID method is derived by reducing order of the FEM model, using master nodes. In this method, the mathematical model of the structure, which relates the tip displacement to the voltage applied to the piezoactuators, is obtained directly. In the third method, dynamic model and the FRF of the smart structure are derived analytically from differential equations. Results demonstrated good agreement between the three methods that validate the numerical system identification techniques developed here, which are essential in vibration/acoustic control of smart structures.