Adaptive Fuzzy Terminal Sliding Mode Synchronization of Uncertain Newton-Leipnik Chaotic System

Abstract

Based on fuzzy adaptive sliding mode control theories, we study the synchronization of fractional uncertain Newton-Leipnik system. In this paper, we design non-singular fractional sliding mode surfaces of error systems by using terminal sliding mode control theories. It is verified that the system is in equilibrium and then synchronized through Lyapunov stability theory. To reduce chattering, a fuzzy controller is designed. Finally, the feasibility and effectiveness of the method are verified by numerical simulation.