Quadratic stability analysis of the Takagi-Sugeno fuzzy model

  title={Quadratic stability analysis of the Takagi-Sugeno fuzzy model},
  author={Kiriakos Kiriakidis and Apostolos Grivas and Anthony Tzes},
  journal={Fuzzy Sets and Systems},
The nonlinear dynamic Takagi-Sugeno fuzzy model with offset terms is analyzed as a perturbed linear system. A sufficient criterion for the robust stability of this nominal system against nonlinear perturbations guarantees quadratic stability of the fuzzy model. The criterion accepts a convex programming formulation of reduced computational cost compared to the common Lyapunov matrix approach. Parametric robust control techniques suggest synthesis tools for stabilization of the fuzzy system… CONTINUE READING
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Analysis and design of fuzzy control systems

  • S. G. Cao, N. W. Rees
  • Proc. 4th IEEE lnternat. Conf. on Fuzzy Systems…
  • 1995
Highly Influential
9 Excerpts

Robust stability of linear systems against nonlinear time-varying perturbations

  • K. Kiriakidis, A. Tzes
  • Preprints of the 1FAC Worm Congr., San Francisco…
  • 1996
Highly Influential
3 Excerpts

Fuzzy modeling and control of multilayer incinerator

  • M. Sugeno, G. T. Kang
  • Fuzzy Sets and Systems 18 (1986) 329-346. 14 K…
  • 1998
1 Excerpt


  • P. Gahinet, A. Nemirovski
  • Laub and M. Chilali, LMI Control Toolbox
  • 1995
2 Excerpts

A new identification method for linguistic fuzzy models

  • R. Babuska, H. B. Verbruggen
  • Proc. 4th IEEE Conf. on Fuzzy Systems, Yokohama…
  • 1995
2 Excerpts

Analysis and design of fuzzy control systems using dynamic fuzzy global models

  • S. G. Cao, N. W. Rees, G. Feng
  • Fuzzy Sets and Systems 75
  • 1995
2 Excerpts

Application of compatible cluster merging to fuzzy modeling of multivariable systems

  • R. Babuska, U. Kaymak
  • Proc. 3rd European Congr. on Intelligent…
  • 1995
1 Excerpt

Identification of dynamic fuzzy models

  • S. G. Cao, N. W. Rees
  • Fuzzy Sets and Systems 74
  • 1995
1 Excerpt

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