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Robust Finite-Time Controllers for Magnetic Levitation System Via Second Order Sliding Modes

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This study addresses robust control schemes to solve the control problem of a magnetic levitation system. The aim is to achieve disturbance rejection abilities and high accuracy of closed-loop system. Two finite-time controllers are designed based on the modified super-twisting control and second order terminal sliding mode control schemes. Both control approaches have been studied for the first time in this paper to deal with the control problem of a magnetic levitation system.The proposed controllers are inherently continuous and the chattering is effectively avoided. Using Lyapunov stability analyzes, both controllers can ensure that the trajectories of the closed-loop system converge to a small neighborhood around the equilibrium in a finite time even in the presence of an external disturbance. Numerical simulations illustrate the effectiveness of the presented controllers.
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Second Order Sliding Mode Control; Super-Twisting Control; Magnetic Levitation System; Finite-Time Control

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