Technical communique: Observer-based H∞ fuzzy control design for T-S fuzzy systems with state delays

  • Authors:

  • Chong Lin;Qing-Guo Wang;Tong Heng Lee;Yong He;Bing Chen

  • Affiliations:

  • Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China and 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;Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore and School of Information Science and Engineering, Central South University, Changs ...;Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

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Abstract

This paper is concerned with the problem of observer-based H"~ fuzzy control design for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The main contribution is that an effective matrix decoupling technique is developed to derive a single-step LMI condition for observer-based H"~ control design. This overcomes the drawback of two-step LMI approach in the literature. When restricted to delay-free fuzzy systems, the present result is shown less conservative than existing ones. An illustrative example is given to show the effectiveness of our results.