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Exponential stabilization for discrete Takagi–Sugeno fuzzy systems via impulsive control

Author

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  • Zhong, Qishui
  • Bao, Jingfu
  • Yu, Yongbin
  • Liao, Xiaofeng

Abstract

This paper studies an impulsive control scheme for discrete Takagi–Sugeno (T–S) fuzzy systems. Some global exponential stability criteria are proposed in terms of linear matrix inequalities (LMIs), and based on which the procedure of impulsive controller design is proposed. A numerical example is included to illustrate the effectiveness of the proposed control scheme.

Suggested Citation

  • Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2009. "Exponential stabilization for discrete Takagi–Sugeno fuzzy systems via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2123-2127.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2123-2127
    DOI: 10.1016/j.chaos.2008.08.021
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    References listed on IDEAS

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    1. Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
    2. Liu, Xingwen & Zhang, Hongbin, 2005. "New stability criterion of uncertain systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1343-1348.
    3. Zheng, Yongai & Chen, Guanrong, 2009. "Fuzzy impulsive control of chaotic systems based on TS fuzzy model," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 2002-2011.
    4. Zhu, Wei & Xu, Daoyi & Huang, Yumei, 2008. "Global impulsive exponential synchronization of time-delayed coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 904-912.
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    Cited by:

    1. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.
    2. Harb, Ahmad M. & Smadi, Issam A., 2009. "Tracking control of DC motors via mimo nonlinear fuzzy control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 702-710.

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