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Equivalent-Input-Disturbance Based Robust Control Design for Fuzzy Semi-Markovian Jump Systems via the Proportional-Integral Observer Approach

Author

Listed:
  • Aravindh Dharmarajan

    (Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, India)

  • Parivallal Arumugam

    (Applied Algebra and Optimization Research Center, Sungkyunkwan University, Suwon 16419, Republic of Korea)

  • Sakthivel Ramalingam

    (School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea)

  • Kavikumar Ramasamy

    (School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea)

Abstract

This work focuses on the design of a unified control law, which enhances the accuracy of both the disturbance estimation and stabilization of nonlinear T-S fuzzy semi-Markovian jump systems. In detail, a proportional-integral observer based equivalent-input-disturbance (PIO-EID) approach is considered to model and develop the controller. The PIO approach includes a variable for relaxation in the system design along with an additional term for integration to improve the flexibility of the design and endurance of the system. The proposed stability criteria are formulated in the form of matrix inequalities using Lyapunov theory and depend on the sojourn time for robust control design. Final analyses are performed using MATLAB software with simulations to endorse the theoretical findings of this paper.

Suggested Citation

  • Aravindh Dharmarajan & Parivallal Arumugam & Sakthivel Ramalingam & Kavikumar Ramasamy, 2023. "Equivalent-Input-Disturbance Based Robust Control Design for Fuzzy Semi-Markovian Jump Systems via the Proportional-Integral Observer Approach," Mathematics, MDPI, vol. 11(11), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2543-:d:1161631
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    References listed on IDEAS

    as
    1. Hu, Rongchun & Zhang, Dongxu & Gu, Xudong, 2022. "Reliability analysis of a class of stochastically excited nonlinear Markovian jump systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Thanh Binh Nguyen & Hyoung-Kyu Song, 2022. "Further Results on Robust Output-Feedback Dissipative Control of Markovian Jump Fuzzy Systems with Model Uncertainties," Mathematics, MDPI, vol. 10(19), pages 1-16, October.
    3. Xikui Liu & Wencong Li & Chenxin Yao & Yan Li, 2022. "Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays," Mathematics, MDPI, vol. 10(12), pages 1-12, June.
    4. Hojin Lee & Jeonghwan Gil & Sesun You & Yonghao Gui & Wonhee Kim, 2021. "Arm Angle Tracking Control with Pole Balancing Using Equivalent Input Disturbance Rejection for a Rotational Inverted Pendulum," Mathematics, MDPI, vol. 9(21), pages 1-16, October.
    5. Yin, Xiang & She, Jinhua & Wu, Min & Sato, Daiki & Ohnishi, Kouhei, 2022. "Disturbance rejection using SMC-based-equivalent-input-disturbance approach," Applied Mathematics and Computation, Elsevier, vol. 418(C).
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