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Design of Observer and Dynamic Output Feedback Control for Fuzzy Networked Systems

Author

Listed:
  • Hejun Yao

    (School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China)

  • Fangzheng Gao

    (School of Automation, Nanjing Institute of Technology, Nanjing 211167, China)

Abstract

The observer design and dynamic output feedback control for a class of nonlinear networked systems are studied in this paper. The model of the networked systems is established by using T-S fuzzy method, and the state observer of the systems is designed when the states of the systems are unknown. On this basis, the sufficient conditions for the exponential stability of the system are explored by using the linear matrix inequality (LMI) method and Lyapunov stability theory. Then, the dynamic output feedback control of the systems is designed by using the observer states, which ensures that the states of the closed-loop systems and the error systems exponentially converge to the origin at the same time. Finally, a simulation example is given to illustrate the feasibility and effectiveness of the design method.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:148-:d:1017821
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    References listed on IDEAS

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    1. Cai, Xiao & Shi, Kaibo & She, Kun & Zhong, Shouming & Kwon, Ohmin & Tang, Yiqian, 2022. "Voluntary defense strategy and quantized sample-data control for T-S fuzzy networked control systems with stochastic cyber-attacks and its application," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    2. Chen, Guoliang & Xia, Jianwei & Zhuang, Guangming & Zhao, Junsheng, 2018. "Improved delay-dependent stabilization for a class of networked control systems with nonlinear perturbations and two delay components," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 1-17.
    3. Song, Jia-Sheng & Chang, Xiao-Heng, 2020. "H∞ controller design of networked control systems with a new quantization structure," Applied Mathematics and Computation, Elsevier, vol. 376(C).
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    Cited by:

    1. 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.
    2. Shuxia Jing & Chengming Lu & Zhimin Li, 2024. "Dissipative Fuzzy Filtering for Nonlinear Networked Systems with Dynamic Quantization and Data Packet Dropouts," Mathematics, MDPI, vol. 12(2), pages 1-17, January.

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