Position Tracking Control for Permanent Magnet Linear Motor via Continuous-Time Fast Terminal Sliding Mode Control

Wei Gao,Xiuping Chen,Haibo Du,Song Bai

doi:10.1155/2018/3813624

Abstract

For the position tracking control problem of permanent magnet linear motor, an improved fast continuous-time nonsingular terminal sliding mode control algorithm based on terminal sliding mode control method is proposed. Specifically, first, for the second-order model of position error dynamic system, a new continuous-time fast terminal sliding surface is introduced and an improved continuous-time fast terminal sliding mode control law is proposed. Then rigorous theoretical analysis is provided to demonstrate the finite-time stability of the closed-loop system by using the Lyapunov function. Finally, numerical simulations are given to verify the effectiveness and advantages of the proposed fast nonsingular terminal sliding mode control method.

Highlights

Permanent magnet linear motor (PMLM) is a conversion device that directly converts electrical energy into linear motion without any intermediate switching mechanism [1, 2]
The model of PMLM is a typical nonlinear multivariable and coupled system and the PMLM control performance is affected by nonlinear factors at unknown load and friction, which vary with different operating conditions
The control problem of PMLM has been an important issue in the filed of PMLM and how to improve the control performance of PMLM system has obtained certain attentions in the literature [5,6,7]

Summary

Introduction

Permanent magnet linear motor (PMLM) is a conversion device that directly converts electrical energy into linear motion without any intermediate switching mechanism [1, 2]. The study of PMLM has attracted many researchers’ interests from motor’s design, material, and control due to its many advantages such as high speed, large pushing force, and high precision. PMLM has been successfully applied in industry, military, and other kind of motion occasions which require high-speed, low thrust, small displacement, and high-precision positioning control [3, 4]. Considering the applications in real industry, the sliding mode control algorithms have been designed to solve the motor control problem due to its significant advantages. In [13], an equivalent disturbance observer based on sliding mode control method and proportional-integral (PI) was proposed. In order to overcome the uncertainty and interference, based on radial-basis function-network (RBFN), a smart complementary sliding mode control (ICSMC) method was proposed in [14]

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Results

Conclusion