Chaos synchronization of a finance chaotic system with an integral sliding mode controller (Q1983380)

Summary: In this paper, an integral sliding mode controller is proposed to realize the synchronization of a class of finance chaotic systems. First, an integral sliding surface with \(\tanh\) function is designed. Then, fuzzy logic systems are used to estimate unknown functions, and then based on the Lyapunov stability theorem, the proposed control method can quickly drive the synchronization error into a small neighborhood of zero, and the range of this neighborhood can be estimated. The simulation results verify that the proposed method in this paper is better than the traditional method.