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Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems

Author

Listed:
  • Zahra Mokhtare

    (Department of Electrical Engineering, University of Zanjan, Zanjan 45371-38791, Iran
    Zahra Mokhtare and Mai The Vu are the first authors; these authors contributed equally to this work.)

  • Mai The Vu

    (School of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, Korea
    Zahra Mokhtare and Mai The Vu are the first authors; these authors contributed equally to this work.)

  • Saleh Mobayen

    (Department of Electrical Engineering, University of Zanjan, Zanjan 45371-38791, Iran
    Future Technology Research Center, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan)

  • Afef Fekih

    (Department of Electrical and Computer Engineering, University of Louisiana at Lafayette, Lafayette, LA 70504-3890, USA)

Abstract

This paper proposes a linear matrix inequality (LMI)-based fuzzy fast terminal sliding mode control (FFTSM) approach for a multi-input multi-output (MIMO) system. This design aims to achieve the finite-time convergence of system trajectories to their desired values, while at the same time eliminating the chattering problem. Finite-time stability is proven using the Lyapunov theory and the control parameters are obtained using the LMI approach. The fuzzy logic approach is considered to fine tune the controller parameters and reduce the tracking error and control signal amplitude. The performance of the proposed approach is assessed using a simulation study of a direct current (DC) motor. The obtained results confirm the effectiveness of the proposed control design. Simplicity of the design, robustness, finite-time convergence, and chattering-free dynamics are among the features of the proposed approach.

Suggested Citation

  • Zahra Mokhtare & Mai The Vu & Saleh Mobayen & Afef Fekih, 2022. "Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems," Mathematics, MDPI, vol. 10(8), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1236-:d:790096
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    References listed on IDEAS

    as
    1. Mobayen, Saleh & Majd, Vahid Johari & Sojoodi, Mahdi, 2012. "An LMI-based composite nonlinear feedback terminal sliding-mode controller design for disturbed MIMO systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 85(C), pages 1-10.
    2. Runze Chen & Zhenling Wang & Weiwei Che, 2022. "Adaptive Sliding Mode Attitude-Tracking Control of Spacecraft with Prescribed Time Performance," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
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