Set stabilization of Chua’s circuit via piece-wise linear feedbacks

In this paper, by using a piece-wise linear feedback controller, we propose an approach to globally stabilize the closed loop Chua’s circuit at an invariant set which consists of its equilibria. Moreover, we show that the closed loop Chua’s circuit satisfies set stability. This method can also be extended to a general class of Chua’s circuits such as Chua’s circuit with cubic non-linearity. Simulation results are presented to verify our method.