Study On Synchronization Of Chaos System And Complex Network Using High-order Sliding Mode Control

The sliding mode control method is a typical robust control method which can ensurethe robustness of the system when there are uncertain item and external disturbance exist insystem. However, the sliding mode control method has its own drawbacks which is thesuperior robustness is based on the cost of high-frequency chattering checking. Up to now,some researchers have developed method called high-order sliding mode controlmethod[3032]which can greatly reduces the chattering exist in traditional sliding modecontrol method. That makes the sliding mode control method has value to realize.In the first two chapters, specialized knowledge about chaos, the synchronization andjudgment method are described. The common Genesio system is taken as example, select theBackstepping control method and Lyapunov theory to simulate the synchronization of samestructure systems. Then, the design method of sliding mode surface, the reaching conditionsliding mode and the practical application areas of sliding mode control are described. Finally,the connected system formed by Lorenz system and Chen system is taken as example, toillustrate the synchronization of same structure systems using sliding mode control method.The third chapter illustrates the synchronization problem of different structure systemwith uncertain parameters using second-order sliding mode control method. The Lyapunovtheory is used to demonstrate this method can achieve synchronization purposes. Thesimulation results also show that the controller is effective to control system synchronization,and the unknown parameters are also identified. The second-order sliding mode controlmethod is applied to the tracking synchronization problems between complex network andsignal in the fourth chapter. It proposed a relationship which including errors, sliding modeand its first derivative. And the error coefficient matrix of integral part in the relationship hasrelationship with internal structure of the network. Thus it reduces the settings of unnecessaryparameter and reduce the design difficulty. The simulation takes star network composed bythe Brushless DC Motor Open Loop System as example, to track the Rikitake Double DiskGenerator Model signal. The simulation results show that after a short time evolution, thenetwork and the signal can be synchronized and control chattering is very small.