Passivity-based fractional-order integral sliding-mode control design for uncertain fractional-order nonlinear systems |
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| Authors: | Sara Dadras Hamid Reza Momeni |
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| Affiliation: | 1. Automation and Instruments Lab, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran;2. Center for Self Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322, USA |
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| Abstract: | This paper concerns with the problem of designing a passivity-based fractional-order (FO) integral sliding mode controller for uncertain FO nonlinear systems. Utilizing the FO calculus, it is showed that the state trajectories of the closed-loop system reach the FO switching manifold in finite time. The control law ensures the asymptotical stability on the sliding surface. A parameter adjustment scheme for FO integral sliding surface is proposed by using the linear matrix inequality (LMI) approach. The proposed controller can be applied to different systems such as chaotic systems. Finally, simulation results are provided to show the effectiveness of the proposed method controlling chaos in FO Chua circuit and FO Van-der-Pol oscillator. |
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| Keywords: | Fractional-order system Uncertain system Fractional sliding-mode manifold Passivity Linear matrix inequality (LMI) |
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