Development of an Approach Toward Comprehensive Identification of Hysteretic Dynamics in Piezoelectric Actuators

This paper presents a comprehensive approach for the identification of the hysteresis and coupled nonhysteretic dynamics of piezoelectric actuators over a broad range of frequencies. The approach leverages on the special characteristics and distinctions of the hysteretic and nonhysteretic components to identify them in sequence, efficiently. The nonhysteretic dynamics is identified using square wave input signals. The creep dynamics is identified using an input signal with a long period. Conversely, electric and vibration dynamics are identified using an input signal with a small period. Moreover, the drift due to the creep is eliminated by employing its model inversion. The Preisach hysteresis is identified with specially designed harmonic input signals and sampling rules, which overcome the persistent excitation problem of hysteresis identification and improve the computational efficiency. Simulation and experiments are conducted to validate the effectiveness of the identification approach.