Reduced-order synchronization of chaotic systems with different dimension

In this paper an adaptive control scheme is proposed to system is able to achieve the control objective regardless the parametric uncertainties of the model and the lack of a priori knowledge on the system. Also is applied the adaptive sliding mode control for synchronization of chaos in system of Rossler in presence of unknown parameters. First suppose that there are no parameter uncertainties in the system model. Then this condition is removed while an adaptive sliding mode control system is designed. The advantages of obtaining such a motion are twofold: firstly the system behaves as a system of reduced order with respect to the original plant and secondly the movement on the sliding surface of the system is insensitive to a particular kind of perturbation and model uncertainties

Keywords:

Synchrozation , Control , Dynamical systems , Reduced-order , Lyapunov function