Chaos control of the modified Chua’s circuit system

In this paper, a nonlinear controller called the backstepping controller is applied to suppress the chaotic motion of a modified Chua’s circuit system. The new controller can drive the system to the exact reference state at any prescribed speed. Most importantly, the controller achieves global exponential stability in the sense that the attraction basin for the reference state is the entire state space. Previous controllers for the Chua’s circuit can achieve only local stability in the sense that the attraction basin is a subset of the state space.