Adaptive Synchronization of 4-Dimensional Energy Resource Unknown Time-Varying Delay Systems

This paper proposed a fuzzy adaptive chaos synchronization method for a 4-D energy resource system with time-varying delays. The unknown time-varying delays are compensated based on Lyapunov-Krasovskii functional. Fuzzy logic systems are adopted to approximate the unknown nonlinear functions. Under the condition that all the system parameters are useless, an adaptive synchronization scheme is presented based on robust adaptive theory and Lyapunov stability to ensure that the two chaotic systems asymptotically synchronized. It is shown that all the signals in the closed-loop system are proved to be bounded, and the system output could track the given reference signal. The simulation example is given to illustrate the effectiveness of the design proposed schemes.