A descriptor representation approach to observer-based H∞ control synthesis for discrete-time fuzzy systems

  • Authors:

  • Xiao-Heng Chang;Guang-Hong Yang

  • Affiliations:

  • College of Information Science and Engineering, Bohai University, Jinzhou, Liaoning 121003, China;College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

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Abstract

This work is concerned with the observer-based H"~ control synthesis problem of discrete-time Takagi-Sugeno (T-S) fuzzy systems with external disturbances. The objective is to find a new way to design the controller and observer guaranteeing a prescribed H"~ performance of the fuzzy system. By the descriptor representation approach, two new conditions for observer-based H"~ control synthesis are proposed based on various Lyapunov function candidates, which are in the form of linear matrix inequalities (LMIs). A numerical example will be given to show the efficiency of the proposed method.