Quadratic stability analysis of the Takagi-Sugeno fuzzy model

@article{Kiriakidis1998QuadraticSA,
  title={Quadratic stability analysis of the Takagi-Sugeno fuzzy model},
  author={Kiriakos Kiriakidis and Apostolos Grivas and Anthony Tzes},
  journal={Fuzzy Sets and Systems},
  year={1998},
  volume={98},
  pages={1-14}
}
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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