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