Abstarct: One of the key issues in the design of controllers is to ensure the system's robust performance against uncertainties and external disturbances. Sliding mode controllers are such controllers that can perform well against these factors. Accordingly, the purpose of this thesis is to synchronize the two turbulent systems. In this thesis, in addition to the design of conventional sliding controllers, the performance of high-level sliding controllers is also evaluated, which is due to the elimination of the aperiodic phenomenon created in conventional sliding fashion controllers. This thesis first briefly discusses the history of chaos and the synchronization of chaotic systems. Then, while introducing the dynamics of the basic system and following the synchronization error, it is defined. The second-order controllers, the terminal controller, the super twisting controller are designed, and the performance of the controllers designed by simulating the MATLAB software environment to synchronize the chaotic systems is evaluated. In order to improve the performance of designed controllers, the control parameters are determined by the genetic algorithm baxsed on various criteria such as error squares, maximum control signals, and so on.