LMI-based fuzzy control of uncertain nonlinear multi-time delays systems

The stabilization problem and the design method of a parameterized controller for a class of uncertain nonlinear multi-time delays systems described in Takagi-Sugeno fuzzy models were concentrated on. The sufficient conditions for the existence of the stable fuzzy controller by state feedback were deduced in terms of Lyapunov stability theory. A convex optimization problem of multivariables was formulated by applying the LMI approach. The memoryless fuzzy controller was designed and the solving scheme for the parameters was also given. The results of numerical simulation show the effectiveness and applicability of the proposed method of the fuzzy controller.