Synchronization,Control In Nonlinear Systems And The Simulation's Design Of Electric Circuit

Chaos is one of the most important discovering in this century, chaos is called the third revolution after principle of relativity and quantum mechanics, It breaks the impassable boundary of qualitativety and randomcity, it pushes sutra dynamics to a new age. Chaotic signal is seemingly stochastic, but in fact it produces by certain signal, so chaos is broadly used in many field (including secrecy communication , outocontrol and sense technique), the production of chaotic signal chaotic and signal oscillation ,and so on ,are attracted many people.Synchronous control of the master system and slave systems, matching the certain coupling coefficient aiming at the system of Lorenz, and computer numerical simulation are realized in this paper. The computer numerical simulation shows that the transient period of controlling is generally reduced with an increase of the value of the slack constant. Clearly, the larger slack constant leads to the faster convergence rate in the control. The control law derived from Lyapunov stability theory, This control method could be employed to enforce a nonsynchronous system to be synchronized, and manipulate the ultimate state of projective synchronization to any desired ratio. It allows us to use tiny control inputs to amplify or reduce the response of the driven system to any scale in a short transient period. The numerical simulation result confirms the effectiveness of the new method, and the method can realize the synchronous control according to the coupling ratio of demand.