Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller | Zendy

Jingjing Wang | Zendy; Chunzhi Yang | Zendy

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Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller

Author(s) -

Jingjing Wang,

Chunzhi Yang

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6611031

Subject(s) - mathematics , control theory (sociology) , controller (irrigation) , chaotic , mode (computer interface) , fuzzy logic , synchronization (alternating current) , range (aeronautics) , integral sliding mode , lyapunov function , multiple integral , function (biology) , sliding mode control , control (management) , computer science , nonlinear system , mathematical analysis , topology (electrical circuits) , engineering , artificial intelligence , physics , combinatorics , quantum mechanics , evolutionary biology , agronomy , biology , aerospace engineering , operating system

In this paper, an integral sliding mode controller is proposed to realize the synchroniza-tion 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 synchroniza-tion 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.

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