The Chaotic Control with only One Controller Term of Josephson Junction System

Abstract

For chaotic behavior appearances in Josephson junction of resistance-capacitor-inductor driven by the direct-current and in order to eliminate lateral oscillations of Josephson junction and dispel their adverse effect on the system performance or the working conditions of the system, the chaotic system of Josephson junction was analised. First, the complex dynamic characteristics of chaos were gave, including the phase trajectory map, Lyapunov index, bifurcation diagram. It proved the objective existence of chaos and the parameter range of the chaotic occurrence in Josephson junction system through the analysis of these characteristics. In order to eliminate chaos of the system, a new controller was designed, which contains only one controller term.. And it can control the system stability at the equilibrium point O(0,0,0). The results show that this method is effective, and constructing controller is simple, and the system after controlled has shorter dynamic response time and good robustness.