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Feedback fuzzy control for quantized networked systems with random delays

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  • Mahmoud, Magdi S.
  • Almutairi, Naif B.

Abstract

This paper investigates the problem of feedback fuzzy control design for networked systems involving both random measurement and actuation delays and subject to quantization and random packet dropout. It is assumed that system state or output signal is quantized before being communicated. The paper focuses initially on an observer-based output feedback fuzzy controller design and then derives a state feedback controller as special case. Sufficient conditions for the existence of an admissible fuzzy controller are established to ensure the exponential stability of the resulting closed-loop fuzzy system. Simulation experiments on a lab-scale four-tank system to demonstrate the applicability of the designed fuzzy control algorithm.

Suggested Citation

  • Mahmoud, Magdi S. & Almutairi, Naif B., 2016. "Feedback fuzzy control for quantized networked systems with random delays," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 80-97.
    • Handle: RePEc:eee:apmaco:v:290:y:2016:i:c:p:80-97
    DOI: 10.1016/j.amc.2016.05.040
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    References listed on IDEAS

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    1. Cheng, Jun & Chen, Shiqiang & Liu, Zhijun & Wang, Hailing & Li, Jin, 2016. "Robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to Four-Tank system," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 55-76.
    2. Chen, Hao & Zhong, Shouming & Shao, Jinliang, 2015. "Exponential stability criterion for interval neural networks with discrete and distributed delays," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 121-130.
    3. Li, Zhi-Min & Chang, Xiao-Heng & Yu, Lu, 2016. "Robust quantized H∞ filtering for discrete-time uncertain systems with packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 361-371.
    4. Song, Xinmin & Duan, Zhenhua & Park, Ju H., 2016. "Linear optimal estimation for discrete-time systems with measurement-delay and packet dropping," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 115-124.
    5. Xiao, Qiang & Huang, Zhenkun, 2016. "Consensus of multi-agent system with distributed control on time scales," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 54-71.
    6. Zeng, Xiaocai & Xiong, Zuoliang & Wang, Changjian, 2016. "Hopf bifurcation for neutral-type neural network model with two delays," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 17-31.
    7. M. S. Mahmoud & Y. Xia, 2009. "Robust Stability and Stabilization of a Class of Nonlinear Switched Discrete-Time Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 143(2), pages 329-355, November.
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    Cited by:

    1. Zhang, Jie & Ma, Lifeng & Liu, Yurong & Lyu, Ming & Alsaadi, Fuad E. & Bo, Yuming, 2017. "H∞ and l2−l∞ finite-horizon filtering with randomly occurring gain variations and quantization effects," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 171-187.
    2. Xiao, Wenbin & Cao, Liang & Dong, Guowei & Zhou, Qi, 2019. "Adaptive fuzzy control for pure-feedback systems with full state constraints and unknown nonlinear dead zone," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 354-371.
    3. Chang, Xiao-Heng & Li, Zhi-Min & Xiong, Jun & Wang, Yi-Ming, 2017. "LMI approaches to input and output quantized feedback stabilization of linear systems," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 162-175.
    4. Liu, Lei & Zhou, Qi & Liang, Hongjing & Wang, Lijie, 2017. "Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 77-94.
    5. Dong, Jiuxiang & Hou, Junteng, 2017. "Output feedback fault-tolerant control by a set-theoretic description of T–S fuzzy systems," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 117-134.

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