Stability conditions for polynomial T-S fuzzy systems using a sum of squares approach
Redouane Chaibi, AbdelAziz Hmamed Lessi, El Houssaine Tissir, Fernando Tadeo · 2017
This paper focuses on deriving stability conditions for continuous-time polynomial Takagi-Sugeno systems using a sum of squares (SOS) approach. The stability conditions proposed are based on exploring the properties of the time derivatives of premise membership functions, using the concept of decay rate in the multiple polynomial Lyapunov function. The effectiveness of the proposed method is demonstrated by some numerical examples.