Robust stabilization of uncertain T-S fuzzy descriptor systems

This paper considers the problem of robust stabilization for uncertain Takagi-Sugeno (T-S) fuzzy descriptor system. The parametric uncertainty is assumed to be norm-bounded. Based on the Lyapunov method, the stability criterion of the closed-loop systems is derived in terms of linear matrix inequalities (LMI). The solutions of the LMI, which can be easily obtained using efficient convex optimization techniques, provide a state feedback controller.