Robust Finite Time Synchronization of Two Uncertain Chaotic Nonlinear Gyros Using Smooth Second-Order Sliding Mode Control Technique

In this paper a method of continuous smooth second-order sliding mode control (HOAMSC) scheme is designed to achieve synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros in present of uncertainties and external disturbances. It is proved that the proposed controller is robust to mismatched parametric uncertainties. Also it is shown that the method have excellent performance and more accuracy. Based on Lyapunov stability theory, this proposed controller and some generic sufficient conditions for global finite time synchronization are designed such that the errors dynamics of two chaotic behave satisfy stability in the Lyapunov sense. The numerical results demonstrate the efficiency of the proposed scheme to synchronize the chaotic gyro systems using a single control input.