Robust model reference adaptive control for a two-dimensional piezo-driven micro-displacement scanning platform based on the asymmetrical Bouc-Wen model

Abstract

The hysteresis characteristics resulted from piezoelectric actuators (PAs) and the residual vibration in the rapid positioning of a two-dimensional piezo-driven micro-displacement scanning platform (2D-PDMDSP) will greatly affect the positioning accuracy and speed. In this paper, in order to improve the accuracy and speed of the positioning and restrain the residual vibration of 2D-PDMDSP, firstly, Utilizing an online hysteresis observer based on the asymmetrical Bouc-Wen model, the PA with the hysteresis characteristics is feedforward linearized and can be used as a linear actuator; secondly, zero vibration and derivative shaping (ZVDS) technique is used to eliminate the residual vibration of the 2D-PDMDSP; lastly, the robust model reference adaptive (RMRA) control for the 2D-PDMDSP is proposed and explored. The rapid control prototype of the RMRA controller combining the proposed feedforward linearization and ZVDS control for the 2D-PDMDSP with rapid control prototyping technique based on the real-time simulation system is established and experimentally tested, and the corresponding controlled results are compared with those by the PID control method. The experimental results show that the proposed RMRA control method can significantly improve the accuracy and speed of the positioning and restrain the residual vibration of 2D-PDMDSP.

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

“…Xiaomin et al (2014) identified the BW model parameters using an amended genetic algorithm (GA), which accurately and efficiently expresses the macro-fiber-composite (MFC) actuator’s hysteretic property. Yang et al (2016a, 2016b) presented the proposed MFC micromanipulator by the BW hysteretic model compensation and an incremental controller to enhance tracking characteristics. Table 2 summarizes the PAs mentioned above based on dimension, driving frequency, and maximal error or root mean square error (RMSE).…”

Design for improving the linearised flow control performance of large flow and high‐pressure proportional valve

“…Therefore, α, and can be identified according to (9), (12) and (13), respectively. The hysteresis problem can be eliminated by identifying the parameters α, and in the Bouc-Wen model, getting a good agreement with the test results.…”

“…The Bouc–Wen model has been widely used for the compensation of hysteretic systems very well. It has been extensively adopted in many fields, such as magnetorheological dampers [7, 8], structural elements [9, 10], base isolation devices [11, 12] and piezoelectric ceramic actuators [13, 14]. However, very few researchers have employed the hysteresis compensation for the proportional solenoid valve using the Bouc–Wen model, because the solenoid hysteretic is too severe to narrow this gap.…”

Influence of Hysteresis on the Vibration Control of a Smart Beam with a Piezoelectric Actuator by the Bouc–Wen Model

“…In addition, feedback or feedforward control may be easily realized with its inverse model and a certain control law. e control laws applied to suppress vibration mainly include PID control [22], adaptive control [6,23], robust control [24], and intelligent control [25,26]. ese control laws have been used to compensate for the hysteresis property or track the expected trajectory.…”

“…Furthermore, compared with other control methods, the adaptive control has strongly robust, adaptive, and anti-interference properties. Because of these advantages, the model reference adaptive control [23,27] is adopted to explore the influence of hysteresis on the control effect of vibration suppression of smart structures with the Bouc-Wen model in this paper. e rest of this paper is organized as follows.…”