Alternative LMI conditions for Takagi-Sugeno systems via fuzzy lyapunov function

This paper deals with the stability analysis and control design for continuous Takagi-Sugeno fuzzy systems in a linear matrix inequality (LMI) framework. New LMI stability conditions are obtained by applying a relax- ation strategy in a recently proposed fuzzy Lyapunov function. In these new LMI stability conditions, new degrees of freedom are introduced, such that the conser- vativeness can be reduced. Furthermore, these condi- tions allow to design the control law entirely described by LMIs, which is much more attractive than bilinear matrix inequalities (BMI) approaches available in the literature. Numerical tests and simulations illustrate the advantages of the new methodology.