A Fractional-Order Nonlinear Backstepping Controller Design for Current-Controlled Maglev System

TL;DR

This paper introduces a fractional-order nonlinear backstepping controller for a current-controlled Maglev system, enhancing stability and control of its highly nonlinear dynamics through Lyapunov-based analysis and numerical validation.

Contribution

It presents a novel fractional-order backstepping control method specifically designed for nonlinear Maglev systems, with proven stability and improved control performance.

Findings

Controller achieves asymptotic stability of the Maglev system.

Numerical experiments confirm effectiveness of the proposed control approach.

Enhanced regulation of nonlinear dynamics demonstrated.

Abstract

The magnetic levitation system (Maglev) is a nonlinear system by which an object is suspended with no support other than magnetic fields. The main control perspective of the Maglev system is to levitate a steel ball in air by the electromagnetic force. However, the Maglev system has highly nonlinear dynamics which is inconvenient in the sense of sensitive control/regulation of its nonlinear dynamics. In this paper, the nonlinear backstepping controller based on the fractional-order derivative is proposed for the control of the nonlinear current-controlled Maglev system. After, the system dynamics and fractional-order backstepping controller design are given, the asymptotic stability of the closed-loop system is proved by employing the Lyapunov theory. Some computer-based numerical experiments are carried out to show the effectiveness of the proposed controller for the control of Maglev system.