Observer-based robust H∞reliable control for uncertain T-S fuzzy systems with state time delay

  • Authors:

  • Hamdi Gassara;Ahmed El Hajjaji;Mohamed Chaabane

  • Affiliations:

  • Modeling, Information, and Systems Laboratory, University of Picardie Jules Verne, Amiens, France and Department of Electrical Engineering, National School of Engineering, University of Sfax, Sfax ...;Modeling, Information, and Systems Laboratory, University of Picardie Jules Verne, Amiens, France;Department of Electrical Engineering, National School of Engineering, University of Sfax, Sfax, Tunisia

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2010

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Abstract

In this paper, a method of robust H∞ reliable control for uncertain Takagi-Sugeno (T-S) fuzzy systems with unavailable states and time-varying delay is developed. In terms of linear-matrix inequalities (LMIs), we derive sufficient conditions for the existence of the fuzzy observer and the reliable fuzzy controller. The single-step LMI conditions, depending on the size of the delay, are proposed for the observer-based H∞ reliable controller design. This overcomes the drawback of two-step LMI approach in literature. Moreover, the designed fuzzy controller is reliable in the sense that the stability and the satisfactory performance of the closed-loop system are achieved not only under normal operation but in the presence of some actuator faults as well. The result is given without the assumption of the rate of change of time-delay function (i.e., |τ|