Stability And Stabilization Of Polynomial Fuzzy Time-Delay Systems Under Imperfect Premise Matching

This work focuses on stability analysis and stabilization synthesis problem for a class of Takagi-Sugeno (T-S) polynominal fuzzy-model-based time-delay systems based on the sum-of-squares (SOS) approach. Firstly, a novel stability criterion is proposed based on Lyapunov stability theorey, which is less conservative as the information of the membership functions is included in the stability conditions. Then, a new fuzzy controller with greater design flexibility to stabilize the colsed-loop system is developed. Finally, a simulation example is provided to illustrate the effectiveness of the proposed design methods.