Chua's Circuits Interval Synchronization

摘要

The secure data transmission is one of the chaotic systems usages. The paper deals with the construction of interval controllers for the slave Chua's circuit. Such controller allows for everybody to perform two Chua's circuit synchronization with high precision. Mentioned precision is achieved by forming control signal for slave Chua's circuit on the basis of maximal and minimal values of state variables. High precision synchronization is granted by proposed method. Due to this method we transform mathematical description of Chua's circuit into Brunovsky form at first. Then we defined control signal for already transformed object. At last we transform defined in such way control signal into voltage source electro-motion force. When this transformation is performed 2-nd order sliding mode in closed loop system is appeared. So proposed control system has invariant property to parameters changing. We show benefits of proposed method for Chua's circuit synchronization by various state variables. Simulation results allow us to claim that proposed approach for setting up master-slave synchronization of Chua's circuits can be useful for couple of Chua's circuit with different parameters and initial conditions.