Resilient Robust Fuzzy Controller Design for a Class of Nonlinear Systems with Time Delays

Resilient robust fuzzy control problem is addressed for a class of nonlinear systems with time delays via state feedback controller. The system is represented by Takagi-Sugeno (T-S) fuzzy model with norm-bounded and time-varying uncertainties in the matrices of state, delayed state, input and control gain. Parallel-distributed compensation (PDC) scheme is utilized to design resilient robust fuzzy controller, in which the small perturbations in the coefficients of the controller design are taken into account. Sufficient conditions are presented for the existence of resilient robust fuzzy controllers in the form of linear matrix inequalities (LMI), which can be solved by some popular commercial software. Finally, an example is given to illustrate the effectiveness of the proposed results