On electronic design of the piecewise linear characteristic of the Chua´s diode: Application to chaos synchronization

In this paper, the electronic design of the Chua´s circuit, known as the most famous electrical circuit to exemplify chaos, is proposed. It´s known that the Chaos behavior of the Chua´s circuit is generated thanks to the Chua´s diode characterized by a nonlinear function with three piecewise linear segments. However, it has been identified that it is quite difficult to synthesize nonlinear functions with multi-segments by using analog electronic circuits. In this paper, the CAD design of the Chua´s diode characterized by its piecewise linear characteristic is achieved using a stage of operational amplifiers. Numerical results prove the usefulness of the proposed solution for generating Multi-scroll Chaos behavior. The electronic circuit is finally used in synchronizing two Chua´s oscillators via a state feedback approach. Simulation results prove the effectiveness and the performances of the control strategy based on the electronic design.