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 esta...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2024, Automation, and Systems, 22(3), , pp.744-752
Main Authors: Ghahestani, Mina, Vali, Ahmadreza, Siahi, Mehdi, Moarefianpour, Ali
Format: Article
Language:English
Subjects:
Adaptive control
Control
Control systems design
Control theory
Controllers
Engineering
Initial conditions
Mechatronics
Nonlinear systems
Regular Papers
Robotics
Robust control
Stability
Uncertainty
제어계측공학
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Summary: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.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-022-1086-4