Discrete Sliding Mode Control Design for Piezoelectric Actuator

Van Huynh-Van,Phong Tran-Thanh

doi:10.25073/jaec.201933.254

Abstract

Piezoelectric bimorph actuators have been employed in several applications. In this paper, the piezoelectric actuator is discretized and its hysteresis function is studied, then a digital sliding mode controller is designed. Furthermore, a perturbation estimation technique is applied and an observer is no longer needed. In addition, simulations are performed also using the traditional PID controller in order to validate the proposed controller scheme performance.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.

Highlights

Piezoelectric actuators have become popular due to its capability to perform an extreme small displacement, ranging from microns to nanometer
A piezoelectric actuator model can be described as an electromechanical system, where the electrical system is composed of nonlinear and linear functions, and mechanical system is a mass-spring-damper system
In [22] the hysteresis function is described as a fourdimensional chaotic system and its circuit implementation is designed in [23]

Summary

Introduction

Piezoelectric actuators have become popular due to its capability to perform an extreme small displacement, ranging from microns to nanometer. For implementation of sliding mode control, full state feedback is required. A state observer is indispensable to implement the practical DSMC [33], [35]- [37], in which complicates the control design procedures. In the document of in the previous work, an input-output built an adaptive DSMC has been proposed [38, 39], based solely on input and output data. The simplest approach based on DSMC to carry out exclusively for piezoelectric actuator control [15, 16, 30]. This paper focuses on to apply a control scheme for a trajectory tracking of a piezoelectric bimorph actuator. After nishing the previous steps, a discrete sliding mode controller is proposed and applied.

Plant Model

Hysteresis Eect

SIMULATION RESULTS

CONCLUSION