Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(3): 744-752

https://doi.org/10.1007/s12555-022-1086-4

© The International Journal of Control, Automation, and Systems

Stabilization of an Uncertain Maglev Train System Using Finite Time Adaptive Back-stepping Controller

Mina Ghahestani, Ahmadreza Vali*, Mehdi Siahi, and Ali Moarefianpour

Malek Ashtar University of Technology

Abstract

In this paper, we have presented an adaptive controller for a class of nonlinear systems. The proposed control law includes some terms to eliminate nonlinear parts. Also, an adaptive term is considered dealing with the uncertainties of the system. This controller is designed in several steps by establishing the finite time stability condition. Finite time stability of the each step is proved using Lyapunov theorem. Also, the relation of the convergence time depending on the initial conditions is presented. Numerical simulations are presented in this paper for a Maglev system to evaluate the analysis and effectiveness of the controller. Robustness of the control schemes in the presence of uncertainty is also investigated.

Keywords Adaptive control, finite time convergence, nonlinear system, uncertainty

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(3): 744-752

Published online March 1, 2024 https://doi.org/10.1007/s12555-022-1086-4

Copyright © The International Journal of Control, Automation, and Systems.

Stabilization of an Uncertain Maglev Train System Using Finite Time Adaptive Back-stepping Controller

Mina Ghahestani, Ahmadreza Vali*, Mehdi Siahi, and Ali Moarefianpour

Malek Ashtar University of Technology

Abstract

In this paper, we have presented an adaptive controller for a class of nonlinear systems. The proposed control law includes some terms to eliminate nonlinear parts. Also, an adaptive term is considered dealing with the uncertainties of the system. This controller is designed in several steps by establishing the finite time stability condition. Finite time stability of the each step is proved using Lyapunov theorem. Also, the relation of the convergence time depending on the initial conditions is presented. Numerical simulations are presented in this paper for a Maglev system to evaluate the analysis and effectiveness of the controller. Robustness of the control schemes in the presence of uncertainty is also investigated.

Keywords: Adaptive control, finite time convergence, nonlinear system, uncertainty

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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