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

Li Li; Yuanqing Xia; Jiqing Qiu; Hongjiu Yang

doi:10.1080/00207721.2011.569672

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

Li Li, Yuanqing Xia^*, Jiqing Qiu, Hongjiu Yang

^*Corresponding author for this work

School of Automation

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2249-2260
Number of pages	12
Journal	International Journal of Systems Science
Volume	43
Issue number	12
DOIs	https://doi.org/10.1080/00207721.2011.569672
Publication status	Published - 1 Dec 2012

Keywords

fuzzy system
linear matrix inequality
networked H control
time-varying delay

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10.1080/00207721.2011.569672

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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.",

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AU - Li, Li

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AB - 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.

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KW - linear matrix inequality

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

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