Design of T-S fuzzy methodology for guaranteed cost synchronization of different non-integer-order complex systems

Abstract

Recently, guaranteed cost synchronization of different complex dynamical systems is one of the main issues in engineering which has a lot of applications in applied sciences. In this work, a T-S fuzzy model-free state feedback (MFSF) methodology is designed for the synchronization of different chaotic fractional-order systems (FOSs) with input saturation. Based on the non-integer version of the Lyapunov stability theorem and linear matrix inequality concept, a T-S fuzzy model-free state feedback method is driven to suppress the undesired behavior of the FOSs without any unpleasant chattering phenomenon. Besides, by operating the proposed technique on synchronization of two chaotic FOSs, the effectiveness and applicability of the T-S fuzzy MFSF are validated.