Type-2 T-S fuzzy multiple feedback-loop guaranteed cost controller design for uncertain singular time-delay system

This paper investigates the type-2 T-S fuzzy multiple feedback-loop guaranteed cost controller design for uncertain singular systems with transmission and state delays. Based on the type-2 T-S fuzzy theory, this work constructs a mathematical model for a class of nonlinear uncertain singular time-delay systems. Using the parallel distributed compensation concept with Lyapunov theory and linear matrix inequality technique, a robust guaranteed cost fuzzy controller is designed with the multiple feedback-loop structure to stabilize the considered system with guaranteed cost performance. Finally, an optimization procedure is presented to reduce the upper bound of guaranteed cost. According to the simulation results, when parametric uncertainties and transmission and state delays exist simultaneously, it indicates that the proposed guaranteed cost controller demonstrates better design flexibility. Also, the closed-loop system is robustly stable and the upper bound of guaranteed cost is decreased.