Synchronization of Super Chaotic System with Uncertain Functions and Input Nonlinearity

The double integral sliding mode synchronization method is studied for a class of super chaotic systems. Both the unknown parameters and uncertain nonlinear functions are considered for the driven and response chaotic systems. It is worthy pointing out that a kind of input nonlinearity is taken into consideration when the synchronization controller is designed. The uncertainties are very complex in this situation and the steady state error can be compensated by the introducing of integrator in the sliding mode design. Also, the double integral sliding mode method has both the advantages of PI controller and sliding mode controller. So it is a new kind of integral sliding mode construction method and the numerical simulation proves the rightness of the proposed method.