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
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
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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
Vol. 23, No. 1, pp. 1~88
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