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Non-Fragile Fuzzy Tracking Control for Nonlinear Networked Systems with Dynamic Quantization and Randomly Occurring Gain Variations

Author

Listed:
  • Zhimin Li

    (School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, China)

  • Chengming Lu

    (School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, China)

  • Hongyu Wang

    (School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, China)

Abstract

This paper investigates the observer-based non-fragile output feedback tracking control problem for nonlinear networked systems with randomly occurring gain variations. The considered nonlinear networked systems are represented by a Takagi–Sugeno (T–S) fuzzy model. The dynamical quantization methodology is employed to achieve the reasonable and efficacious utilization of the limited communication resources. The objective is to design the observer-based non-fragile output feedback tracking controller, such that the resulting system is mean-square asymptotically stable with the given H ∞ tracking performance. Based on the descriptor representation strategy combined with the S-procedure, sufficient conditions for the existence of the desired dynamic quantizers and observer-based non-fragile tracking controller are proposed in the form of linear matrix inequalities. Finally, simulation results are provided to show the effectiveness of the proposed design method

Suggested Citation

  • Zhimin Li & Chengming Lu & Hongyu Wang, 2023. "Non-Fragile Fuzzy Tracking Control for Nonlinear Networked Systems with Dynamic Quantization and Randomly Occurring Gain Variations," Mathematics, MDPI, vol. 11(5), pages 1-20, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1116-:d:1077872
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    References listed on IDEAS

    as
    1. Hejun Yao & Fangzheng Gao, 2022. "Design of Observer and Dynamic Output Feedback Control for Fuzzy Networked Systems," Mathematics, MDPI, vol. 11(1), pages 1-13, December.
    2. Chang, Xiao-Heng & Jin, Xue, 2022. "Observer-based fuzzy feedback control for nonlinear systems subject to transmission signal quantization," Applied Mathematics and Computation, Elsevier, vol. 414(C).
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