Synchronization of Two Totally Different 4-D Chaotic Systems Using Finite Time Second Order Sliding Mode Control With Fully Unknown Parameter

In This paper an active finite time second order sliding mode controller for synchronization two non-identical 4-D Lorenz Stenflo (LS) and a new four dimensional chaoticsystem (Qi) in the presence of uncertainties is proposed. Because of existence extreme nonlinearity behaviour andchattering problem we design an active finite time secondorder sliding mode controller to solve these problems. The designed controller ensures that the state variables of thecontrolled chaotic slave LS and Qi systems globally synchronizes with the state variables of the master systemsrespectively. It is also shown that two non-identical4-D systems globally synchronize with LS system under the active finite time second order sliding mode control. Numericalsimulations are presented in this paper to evaluate the analysis and effectiveness of the controller.