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Stability analysis and dynamic output feedback control for fuzzy networked control systems with mixed time-varying delays and interval distributed time-varying delays

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Abstract

This paper addresses the stability analysis and dynamic output feedback control for a class of T–S fuzzy networked control systems with mixed time-varying delays and interval distributed time-varying delays. Firstly, the T–S fuzzy model is employed to approximate the networked control system based on the system model. Secondly, the dynamic output feedback controller with hybrid intermittent feedback control law is designed for the T–S fuzzy networked control system. Thirdly, the delay-dependent stability conditions are derived by introducing the Lyapunov functional with Leibniz–Newton formula. Compared with previous works, both the mixed time-varying delays and interval distributed time-varying delays are considered in the T–S fuzzy networked control system. The control design conditions are relaxed because of the proposed controller. By introducing the Lyapunov functional with Leibniz–Newton formula, the linear matrix inequalities are solved effectively by the standard convex optimization algorithm. Finally, the simulation examples and some computing results are given to show the effectiveness and advantage of the proposed method, respectively.

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Acknowledgements

This paper was supported by National Natural Science Foundation of China (61473248, 61773333, 61271142, 61673336) and Natural Science Foundation of Hebei Province (F2016203496).

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Authors and Affiliations

  1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, People’s Republic of China

    Wei Zheng, Zhiming Zhang, Hongbin Wang, Shuhuan Wen & Hongrui Wang

  2. Institute of Electronic and Information Engineering, Hebei University, Baoding, 071000, People’s Republic of China

    Hongrui Wang

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  1. Wei Zheng
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Zheng, W., Zhang, Z., Wang, H. et al. Stability analysis and dynamic output feedback control for fuzzy networked control systems with mixed time-varying delays and interval distributed time-varying delays. Neural Comput & Applic 32, 7213–7234 (2020). https://doi.org/10.1007/s00521-019-04204-x

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