A Fractional-Order Nonlinear Backstepping Controller Design for Current-Controlled Maglev System
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.
Cite
@article{arxiv.2502.04595,
title = {A Fractional-Order Nonlinear Backstepping Controller Design for Current-Controlled Maglev System},
author = {Dorukhan Astekin and Fatih Adıgüzel},
journal= {arXiv preprint arXiv:2502.04595},
year = {2026}
}
Comments
Accepted at Proceedings of the 28th International Scientific Conference Mechanika 2024