DELAYED FEEDBACK H∞ SYNCHRONIZATION FOR TIME-DELAYED CHAOTIC SYSTEMS BASED ON T-S FUZZY MODEL

In this letter, we propose a new H-infinity synchronization method, called a delayed feedback fuzzy H-infinity synchronization (DFFHS) method, for time-delayed chaotic systems with external disturbance. Based on Lyapunov-Krasovskii theory, T-S fuzzy model, and delayed feed back control scheme, the DFFHS controller is presented to not only guarantee aymptotical synchronization but also reduce the effect of external disturbance to an H-infinity norm constraint. The proposed controller can be obtained by solving the linear matrix inequality (LMI) problem. A numerical example for time-delayed Lorenz system is presented to demonstrate the validity of the proposed DFFHS method.