A new approach to relaxed quadratic stabilization for T-S Fuzzy systems

In this paper, the problem of quadratic stabilization conditions for T-S (Takagi-Sugeno) fuzzy systems has been studied. A new quadratic stability condition for Takagi-Sugeno (T-S) fuzzy control systems is proposed. The condition is represented in the form of linear matrix inequalities (LMIs) and is shown to be less conservative than some earlier relaxed quadratic stabilization conditions published in the literature. A rigorous theoretic proof is given to show that the proposed condition can include previous results as special cases. Numerical example illustrates the achieved improvements.