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Design of Linear Matrix Inequality-Based Adaptive Barrier Global Sliding Mode Fault Tolerant Control for Uncertain Systems with Faulty Actuators

Author

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  • Kamran Naseri

    (Department of Electrical Engineering, University of Zanjan, Zanjan 45195-313, Iran
    Kamran Naseri 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
    Kamran Naseri 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 45195-313, Iran
    Future Technology Research Center, National Yunlin University of Science and Technology, Douliou 64002, Yunlin, Taiwan)

  • Amin Najafi

    (Department of Electrical Engineering, University of Zanjan, Zanjan 45195-313, Iran)

  • Afef Fekih

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

Abstract

This paper proposes a linear matrix inequality (LMI)-based adaptive barrier global sliding mode control (ABGSMC) for uncertain systems with faulty actuators. The proposed approach is derived using a novel global nonlinear sliding surface to guarantee the global dynamic property and to ensure system stability and the occurrence of sliding in the presence of actuator faults. The optimal coefficients of the sliding surface are determined using the LMI method. The system’s asymptotic stability is proven using Lyapunov theory. Additionally, an adaptive barrier function is considered to ensure the convergence of the output variables to a predefined locality of zero in a limited time, even where external disturbances and actuator faults are present. In order to decrease the steepness of the control action and mitigate the chattering phenomenon, the hyperbolic tangent function is employed instead of the signum function in the sliding mode control. The proposed method is validated using a simulation study of the Genesio’s chaotic system.

Suggested Citation

  • Kamran Naseri & Mai The Vu & Saleh Mobayen & Amin Najafi & Afef Fekih, 2022. "Design of Linear Matrix Inequality-Based Adaptive Barrier Global Sliding Mode Fault Tolerant Control for Uncertain Systems with Faulty Actuators," Mathematics, MDPI, vol. 10(13), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2159-:d:843838
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    References listed on IDEAS

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    1. Afef Fekih & Saleh Mobayen & Chih-Chiang Chen, 2021. "Adaptive Robust Fault-Tolerant Control Design for Wind Turbines Subject to Pitch Actuator Faults," Energies, MDPI, vol. 14(6), pages 1-13, March.
    2. Kamila Jankowska & Mateusz Dybkowski, 2021. "A Current Sensor Fault Tolerant Control Strategy for PMSM Drive Systems Based on C ri Markers," Energies, MDPI, vol. 14(12), pages 1-18, June.
    3. Azizi, Askar & Nourisola, Hamid & Shoja-Majidabad, Sajjad, 2019. "Fault tolerant control of wind turbines with an adaptive output feedback sliding mode controller," Renewable Energy, Elsevier, vol. 135(C), pages 55-65.
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    Cited by:

    1. Masoud Chatavi & Mai The Vu & Saleh Mobayen & Afef Fekih, 2022. "H ∞ Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances," Mathematics, MDPI, vol. 10(19), pages 1-19, September.
    2. Amin Najafi & Mai The Vu & Saleh Mobayen & Jihad H. Asad & Afef Fekih, 2022. "Adaptive Barrier Fast Terminal Sliding Mode Actuator Fault Tolerant Control Approach for Quadrotor UAVs," Mathematics, MDPI, vol. 10(16), pages 1-22, August.

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