Table of Contents
ISRN Mechanical Engineering
Volume 2012, Article ID 626142, 8 pages
Research Article

Modeling and Compensation for Hysteresis Nonlinearity of a Piezoelectrically Actuated Fast Tool Servo Based on a Novel Linear Model

1School of Mechanical Science and Engineering, Jilin University, Changchun 130022, China
2School of Electromechanical Engineering, Changchun University of Technology, Changchun 130012, China

Received 5 September 2012; Accepted 21 September 2012

Academic Editors: J. Clayton, K. Ismail, and J.-I. Jang

Copyright © 2012 Zhiwei Zhu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In order to describe and compensate for complex hysteresis nonlinearities of piezoelectrically actuated fast tool servo (FTS), a novel Linear Fractional order Differentiation Hysteresis (LFDH) model is proposed in this paper. By means of the proposed LFDH model which is established on the fractional calculus theory, an analytical description of hysteresis behaviors of the FTS is derived. Furthermore, the LFDH model-based inverse compensation strategy is proposed to suppress the hysteresis effects of the FTS. Finally, a series of experiments are conducted to verify the effectiveness of the LFDH model and the corresponding compensation approach. The results demonstrate that the proposed LFDH model is efficient for describing hysteresis behaviors and the inverse compensation strategy can significantly suppress the inherent hysteresis of the FTS in open-loop operations.