Fuzzy stability analysis using interlacing condition

Ji Chang Lo, Min Long Lin

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations


A sufficient condition for asymptotical stability of a Takagi-Sugeno fuzzy control system is derived. The goal of the present investigation is to analyze the stability of fuzzy system via stability of relevant frozen-time systems. To this end, a norm-based switching control scheme is introduced to stabilize the fuzzy control system. It demonstrates that the property on continuous-root-dependence with respect to polynomial coefficients found in robustness theory plays a crucial role in deriving these important results. An one-shot procedure, which only requires the root locations of two polynomials, is given to determine the stability of a T-S fuzzy control system. One nonlinear example is demonstrated to show the validity of the proposed approach.

Original languageEnglish
Number of pages4
StatePublished - 2001
Event10th IEEE International Conference on Fuzzy Systems - Melbourne, Australia
Duration: 2 Dec 20015 Dec 2001


Conference10th IEEE International Conference on Fuzzy Systems


  • Hermite-Biehler theorem
  • Hurwitz stability
  • Takagi-Sugeno fuzzy model
  • Zero exclusion condition


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