Robust stabilization for T-S Fuzzy control systems with parametric uncertainties via LMI approach

In this paper, the problem of relaxed robust quadratic stability condition for a class of uncertain nonlinear system is considered. The uncertain nonlinear systems are represented by T-S fuzzy model with uncertainties and a new quadratic robust stability condition is obtained by designing state feedback controller. The condition is represented in the form of linear matrix inequalities (LMIs) and it has less conservative. The new method in this paper considers the interactions among all fuzzy subsystems by substitute the closed-loop fuzzy system into three parts. Finally, the T-S fuzzy model of the numerical system, which has complex nonlinearity, is developed as a test bed. The validity and applicability of the proposed approach are successfully demonstrated through simulations for the continuous-time nonlinear system.