Relaxed LMIs Observer-Based Controller Design via Improved T-S Fuzzy Model Structure

  • Wei Xie
  • Huaiyu Wu
  • Xin Zhao
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3613)


Relaxed linear matrix inequalities (LMIs) conditions for fuzzy observer-based controller design are proposed based on a kind of improved T-S fuzzy model structure. The improved structure included the original T-S fuzzy model and enough large bandwidth pre- and post-filters. By this structure fuzzy observer-based controller design can be transformed into LMIs optimization problem. Compared with earlier results, it includes the less number of LMIs that equals the number of fuzzy rules plus one positive definition constraint of Lyapunov function. Therefore, it provides us with less conservative results for fuzzy observer-based controller design. Finally, a numerical example is demonstrated to show the efficiency of proposed method.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Wei Xie
    • 1
  • Huaiyu Wu
    • 2
  • Xin Zhao
    • 2
  1. 1.Satellite Venture Business LaboratoryKitami Institute of TechnologyHokkaidoJapan
  2. 2.College of Information Science and TechnologyWuhan University of Science and TechnologyWuhanP. R. China

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