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Robust networked control for discrete-time fuzzy systems with state quantisation

Author

Listed:
  • Li Li
  • Yuanqing Xia
  • Jiqing Qiu
  • Hongjiu Yang

Abstract

The problem of robust H∞ control for uncertain discrete-time Takagi and Sugeno (T-S) fuzzy networked control systems (NCSs) with state quantisation is investigated. A new model of network-based control with simultaneous consideration of network-induced delays and packet dropouts is proposed. By using a fuzzy Lyapunov–Krasovskii functional (LKF), we derive a less conservative delay-dependent stability condition for the closed-loop NCSs. Robust H∞ fuzzy controller is developed for the asymptotical stabilisation of the NCSs. Since it is not expressed as strict LMI conditions, the cone complementary linearisation procedure is exploited to solve the nonconvex feasibility problem. A numerical example shows the feasibility applications of the proposed technique.

Suggested Citation

  • Li Li & Yuanqing Xia & Jiqing Qiu & Hongjiu Yang, 2012. "Robust networked control for discrete-time fuzzy systems with state quantisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(12), pages 2249-2260.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2249-2260
    DOI: 10.1080/00207721.2011.569672
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    Cited by:

    1. Nithya, V. & Sakthivel, R. & Sakthivel, R. & Alzahrani, Faris, 2020. "Dissipative-based non-fragile filtering for fuzzy networked control systems with switching communication channels," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    2. Ran, Suzhen & Xue, Yanmei & Zheng, Bo-Chao & Wang, Zhenyou, 2017. "Quantized feedback fuzzy sliding mode control design via memory-based strategy," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 283-295.

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