Technical communique: Improvement on observer-based H∞ control for T-S fuzzy systems

  • Authors:

  • Chong Lin;Qing-Guo Wang;Tong Heng Lee

  • Affiliations:

  • Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore;Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore;Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

This paper provides an improved result over that in Liu and Zhang [2003, New approaches to H"~ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica, 39, 1571-1582] for the problem of observer-based H"~ control for nonlinear systems in Takagi-Sugeno (T-S) fuzzy model. It contributes in three aspects: (i) The present result is less conservative than that in Liu and Zhang [2003, New approaches to H"~ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica, 39, 1571-1582]; (ii) The present strict LMI method is a single step approach which overcomes the drawback of a two-step approach in Liu and Zhang [2003, New approaches to H"~ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica, 39, 1571-1582]; (iii) The matrix dimensions are largely reduced compared with the corresponding ones in Liu and Zhang [2003, New approaches to H"~ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica, 39, 1571-1582].