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control for 2-D T-S fuzzy FMII model with stochastic perturbation

Author

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  • Xiaofeng Li
  • Weiqun Wang
  • Lizhen Li

Abstract

This paper deals with the problem of H∞ control for 2-D non-linear system with stochastic perturbation. Based on spatial fuzzy set and inference mechanism, 2-D T-S fuzzy FMII model with stochastic perturbation is established first. Then the results for stability analysis and bounded real lemma are obtained. Moreover, an H∞ fuzzy controller is designed. In order to reduce the computational demand of the conditions for the existence of H∞ fuzzy controller, the control inputs are regarded as the variables independent of the states, and some free matrices are introduced to reduce the conservatism of this method. Then, a new H∞ fuzzy controller is derived. Two simulation examples are given to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Xiaofeng Li & Weiqun Wang & Lizhen Li, 2015. "control for 2-D T-S fuzzy FMII model with stochastic perturbation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(4), pages 609-624, March.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:609-624
    DOI: 10.1080/00207721.2013.793780
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    References listed on IDEAS

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    1. Qi Zhou & Shengyuan Xu & Bing Chen & Yuming Chu, 2011. "filtering for stochastic systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 235-244.
    2. Gao, Huijun & Lam, James & Wang, Zidong, 2007. "Discrete bilinear stochastic systems with time-varying delay: Stability analysis and control synthesis," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 394-404.
    3. Ze Li & Shengyuan Xu & Yun Zou & Yuming Chu, 2011. "Robust filter design of uncertain T-S fuzzy neutral systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1231-1238.
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