Title: Fractional-order composite control for the transient creep of a piezoelectric actuator

Authors: Xueliang Zhao; Chengjin Zhang; Hongbo Liu

Addresses: School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China; Department of Informatics, Beijing City University, Beijing, 100083, China ' School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China; School of Mechanical, Electrical and Information Engineering, Shandong University at Weihai, Shandong 264209, China ' School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China

Abstract: In this study, a fractional-order composite controller is proposed to decrease the settling time and narrow the range of the transient creep of a piezoelectric actuator. The controller is composed of backlash modules and a fractional-order PI^λ controller. The backlash modules reduce the effect of the transient creep and the hysteresis, while the fractional-order controller decreases the settling time. Experiments show that the settling time is decreased from 11 ms to 6 ms. The controller exhibits good performance on step creep and hysteresis when the input signal is discretised into steps, whether 10, 20, 40 or 80 steps. All standard deviations are suppressed to levels 39.3% lower than that of a standard PI controller and the range of the transient creep is reduced to 19.46%.

Keywords: backlash; dynamic creep; fractional order; piezoelectric actuator; nanotechnology; transient stage.

DOI: 10.1504/IJNM.2019.102702

International Journal of Nanomanufacturing, 2019 Vol.15 No.4, pp.394 - 406

Accepted: 30 Nov 2017
Published online: 02 Oct 2019 *

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