Abstract
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. Application examples on fuzzy models of nonlinear plants advocate the efficiency of the method. The examples demonstrate reduced conservatism compared to norm-based criteria.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-14 |
| Number of pages | 14 |
| Journal | Fuzzy Sets and Systems |
| Volume | 98 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1998 |
Keywords
- Control theory
- Fuzzy model
- Fuzzy model-based control
- Perturbed system
- Quadratic stability
ASJC Scopus subject areas
- Logic
- Artificial Intelligence