Modeling of piezoelectric actuator for compensation and controller design

• Published in: Precision engineering Vol. 27; no. 1; pp. 70 - 86
• Main Authors: Tzen, Jonq-Jer, Jeng, Shyr-Long, Chieng, Wei-Hua
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 2003; Elsevier Science
• Subjects: Applied sciences; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; General equipment and techniques; Hysteresis model; Instruments, apparatus, components and techniques common to several branches of physics and astronomy; Inverse model compensation; Physics; Piezoelectric actuator; Transducers; Hysteresis model; Inverse model compensation; Piezoelectric actuator
• ISSN: 0141-6359; 1873-2372
• DOI: 10.1016/S0141-6359(02)00183-6

This work proposes a novel method for describing the hysteretic non-linearity of a piezoelectric actuator. The hysteresis behavior of piezoelectric actuators, including the minor loop trajectory and the residual displacement near zero input, are modeled by a set of hysteresis operators, including a gain and an input-dependent lag, as well as the parameter scheduling method. A hysteresis model, using the identified parameters, and containing only the dominant hysteresis operator, is presented herein. Based upon a simplified hysteresis model, tracking is controlled to reduce the non-linear effects in the characteristics of the piezoelectric actuator. A proportional-integral (PI) controller, with inverse model feed-forward, suppresses the tracking error to within ±1% full span range (FSR) of the actuator, noticeably improving the tracking performance of the piezoelectric actuator.