Synchronization Control Between Different Chaotic Systems With Uncertain Parameters

In this paper, nonlinear control theory, nonlinear chaotic system as the object of the integer and fractional order control problem of nonlinear chaotic systems were studied.Main content:1. Under certain conditions, the different structure of a class of uncertain chaotic systems based on Lyapunov stability theory,adaptive and nonlinear feedback methods will be combined with the controller design strategy used to determine control coefficients,the unknown parameters in the identification Meanwhile,the realization of the structure of two different chaotic systems with unknown parameters of global asymptotic synchronization.Theoretical proof and simulation validates the effectiveness of proposed method.2. Under certain conditions,in determining the control coefficient control strategies and controller design baser on the coefficient on the control of an adaptive mechanism to overcome the difficulties of controlling the coefficient of selection,given the controller and adaptive law,the same can be achieved both unknown parameters of chaotic systems with different structure of global asymptotic synchronization.Theoretical proof and simulation validates the effectiveness of proposed method.3. Further integer-order chaotic system synchronization control strategy are extended to fractional order chaotic system synchronization control,a drive system and response system in the case of unknown parameters to different fractional chaotic system to achieve asymptotic synchronization control methods based on Lyapunov stability theory to prove the method is reasonable. Simulation results demonstrate the effectiveness of the synchronization control strategy.