Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty |
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Authors: | Sara DadrasHamid Reza Momeni |
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Affiliation: | Automation and Instruments Lab, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran |
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Abstract: | A novel type of control strategy combining the fractional calculus with terminal sliding mode control called fractional terminal sliding mode control is introduced for a class of dynamical systems subject to uncertainties. A fractional-order switching manifold is proposed and the corresponding control law is formulated based on the Lyapunov stability theory to guarantee the sliding condition. The proposed fractional-order terminal sliding mode controller ensures the finite time stability of the closed-loop system. Finally, numerical simulation results are presented and compared to illustrate the effectiveness of the proposed method. |
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Keywords: | Uncertain dynamical system Fractional calculus Terminal sliding mode control Lyapunov stability theory |
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