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

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  • Control Theory and Applications
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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.

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Authors and Affiliations

  1. Department of Control Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Mina Ghahestani, Mehdi Siahi & Ali Moarefianpour

  2. Malek Ashtar University of Technology, Tehran, Iran

    Ahmadreza Vali

Authors
  1. Mina Ghahestani
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  2. Ahmadreza Vali
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  3. Mehdi Siahi
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  4. Ali Moarefianpour
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Correspondence to Ahmadreza Vali.

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The authors declare that there is no competing financial interest or personal relationship that could have appeared to influence the work reported in this paper.

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Mina Ghahestani was born in Iran in 1984. She received her B.Sc. degree in electronic engineering from Birjand Azad University, in 2007 and an M.Sc. degree in control engineering from Islamic Azad University science and research branch (Damavand) in 2014. She is currently a Ph.D. student in control engineering. Her current research interests include nonlinear system, uncertainty, adaptive control, and finite time convergence.

Ahmadreza Vali was born in Iran in 1972. He received his B.Sc. degree in electrical-electronics engineering from the Shiraz University, Shiraz, Iran in 1995 and his M.Sc. and Ph.D. degrees in electrical-control engineering from the Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran, in 1998 and 2005, respectively. He is the author of more than 190 Journal and Conference Papers in the field of nonlinear control systems, analysis and control of delay-time systems, tracking systems, modeling and control of biological systems and robotics. Dr. Ahmadreza Vali is currently Associate Professor at Department of Electrical and Computer Engineering, Malek-Ashtar University and Technology, Tehran, Iran.

Mehdi Siahi received his B.Sc. degree in electrical engineering from Yazd University, Yazd Iran in 2001 and an M.Sc. degree in control engineering from the Shahrood University of Technology, Shahrood, Iran, in 2003. He obtained a Ph.D. degree in control engineering from Shahrood University of Technology, Shahrood Iran, in 2008. He is now an associate professor and has been with faculty of Electrical Engineering, Islamic Azad University Science and Research Branch, Iran from 2004. His current research is on fault tolerant control systems, robust control, and nonlinear systems.

Ali Moarefianpour received his Ph.D. degree in electrical engineering from Tarbiat Modaress University, Tehran, Iran. He is now an assistant professor at the Department of Mechanics, Electrical and Computer Engineering of Islamic Azad University, Science and Research Branch, Tehran, Iran. His research interests include robust control systems, fuzzy control, and convex optimization.

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Ghahestani, M., Vali, A., Siahi, M. et al. Stabilization of an Uncertain Maglev Train System Using Finite Time Adaptive Back-stepping Controller. Int. J. Control Autom. Syst. 22, 744–752 (2024). https://doi.org/10.1007/s12555-022-1086-4

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

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