Toward less conservative stability and stabilization conditions for T-S fuzzy systems

In light of the nonquadratic Lyapunov function approach, this paper investigates the problem of deriving less conservative stability and stabilization conditions for T-S fuzzy systems by considering two cases of additional constraints to impose bounds on the derivative of fuzzy weights. Specifically, in the first case where such constraints are ignored, this paper presents a method that allows the cross relationship between fuzzy weights and their derivatives to be reflected in the derivation. Then, in the second case, the reduction of the first case-based conditions to the local stabilization conditions is introduced.