Chaos synchronization of an energy resource system based on linear control

Synchronization of an energy resource system is investigated. Three linear control schemes are proposed to synchronize a chaotic energy resource system via the back-stepping method. This can be viewed as an improvement to the existing results of Tian et al. (2006) [14]. Because we use simpler controllers to realize a global asymptotical synchronization. In the first two schemes, the sufficient conditions for achieving synchronization of two identical energy resource systems using linear feedback control are derived by using Lyapunov stability theorem. In the third scheme, the synchronization condition is obtained by numerical method, in which only one state variable controller is contained. Finally, three numerical simulation examples are performed to verify these results.