Optimal Synchronization Of Chaotic Behaviour Of The DuffingOscillator Using State-Dependent Reccati Equation

This paper presents the synchronization of chaotic phenomena of the Duffing oscillator using state-dependent Riccati equation (SDRE) method. The optimal control problems are solved by the SDRE control.This method requires ontrollable and observable system. This method can be applied to other chaotic systems presented that the controllability and abservability conditions are satisfied.The results show that the SDRE method of control can effectively reduce the error dynamics of chaos synchronization of the Duffing oscillator.

Keywords:

chaotic phenomena , state-dependent Riccati equation , chaos synchronization , controllability , observability , Duffing oscillator