Chua Circuit with Several Voltage Sources

Secured data transmission is one of the main branches of modern chaotic systems' usages. The paper deals with the study and usage of the Chua circuit model with a voltage source in each branch. Analysis of this model allows everybody to define preferable places for a set-up voltage source in the Chua circuit. Mentioned places make it possible to reduce Chua model and to simplify controller design which synchronizes two Chua circuits by using master-slave control technique. The high quality of this synchronization is granted by using sliding mode control algorithms. Usage of these algorithms allows us to compensate nonlinearity of considered circuit and changing of its parameters. We use the node-voltage method for developing the Chua circuit model with several voltage sources. Then we analyze the developed model and find that it is the best choice to use voltage sources which are connected in a serial way with capacitors. At third, we develop ta Chua circuit's interval model and use it to compensate nonlinearity of Chua diode. Then we write down full and reduced state space equations for the Chua circuit. At fifth, we use reduced interval equations to design a controller which performs synchronization of two Chua circuit.