GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function

Zhi-Le Xia Jun-Min Li

Zhi-Le Xia, Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(3): 261-266. doi: 10.1007/s11633-009-0261-x
引用本文: Zhi-Le Xia, Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(3): 261-266. doi: 10.1007/s11633-009-0261-x
Zhi-Le Xia and Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function. International Journal of Automation and Computing, vol. 6, no. 3, pp. 261-266, 2009 doi:  10.1007/s11633-009-0261-x
Citation: Zhi-Le Xia and Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function. International Journal of Automation and Computing, vol. 6, no. 3, pp. 261-266, 2009 doi:  10.1007/s11633-009-0261-x

GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function

doi: 10.1007/s11633-009-0261-x

GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function

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出版历程
  • 收稿日期:  2007-11-07
  • 修回日期:  2009-01-20
  • 刊出日期:  2009-07-15

GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function

doi: 10.1007/s11633-009-0261-x

摘要: Generalized H2 (GH2) stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities (LMIs). The interactions among the fuzzy subsystems are considered. Therefore, the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. To illustrate the validity of the proposed method, a design example is provided.

English Abstract

Zhi-Le Xia, Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(3): 261-266. doi: 10.1007/s11633-009-0261-x
引用本文: Zhi-Le Xia, Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(3): 261-266. doi: 10.1007/s11633-009-0261-x
Zhi-Le Xia and Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function. International Journal of Automation and Computing, vol. 6, no. 3, pp. 261-266, 2009 doi:  10.1007/s11633-009-0261-x
Citation: Zhi-Le Xia and Jun-Min Li. GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function. International Journal of Automation and Computing, vol. 6, no. 3, pp. 261-266, 2009 doi:  10.1007/s11633-009-0261-x
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