Non-fragile fuzzy H∞ filter design for nonlinear continuous-time systems with D stability constraints

  • Authors:
  • Xiao-Heng Chang;Guang-Hong Yang

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

  • Venue:
  • Signal Processing
  • Year:
  • 2012

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Abstract

This paper is concerned with the problem of designing non-fragile H"~ filters for a class of nonlinear continuous-time systems. The considered nonlinear plant is represented by a Takagi-Sugeno (T-S) fuzzy model. Attention is focused on the design of a filter such that the filtering error system guarantees a prescribed H"~ performance level with D stability constraints, where the filter to be designed is assumed to be with multiplicative gain variations. A sufficient condition for the non-fragile H"~ filter design is proposed in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H"~ fuzzy filter is given. A simulation example will be given to show the efficiency of the proposed design methods.