Abstract
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 language | English |
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Pages | 634-637 |
Number of pages | 4 |
State | Published - 2001 |
Event | 10th IEEE International Conference on Fuzzy Systems - Melbourne, Australia Duration: 2 Dec 2001 → 5 Dec 2001 |
Conference
Conference | 10th IEEE International Conference on Fuzzy Systems |
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Country/Territory | Australia |
City | Melbourne |
Period | 2/12/01 → 5/12/01 |
Keywords
- Hermite-Biehler theorem
- Hurwitz stability
- Takagi-Sugeno fuzzy model
- Zero exclusion condition