A novel preassigned-time sliding mode control method for synchronization of T-S fuzzy stochastic complex networks with time-varying delay

This paper investigates the finite-time synchronization issue of Takagi-Sugeno (T-S) fuzzy stochastic complex networks (TSFSCN) with disturbances and time-varying delays using the preassigned-time sliding mode control (SMC) strategy. A novel fuzzy SMC law is designed by introducing a time-varying function, ensuring that the error system reaches the sliding mode surface (SMS) within any preassigned time and converges to zero along the SMS. The arrival time and sliding time are independent of design parameters and initial values, enhancing the stability and controllability of the system. Additionally, the adoption of a continuous function to replace the sign function reduces the chattering phenomenon in the system. Based on Lyapunov theory and finite-time SMC strategy, a sufficient condition is derived for the system to achieve arbitrary preassigned-time synchronization. Finally, the effectiveness of the proposed control method is verified through two examples.