Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

Mathematical and Computational Applications

PabloJ. Prieto¹  Corina Plata²  Ramon Ramirez-Villalobos²  LuisN. Coria² 

[1] Cetys Universidad, Calz Cetys 813, Lago Sur, 22210 Tijuana, BC, Mexico;Tecnológico Nacional de México/IT de Tijuana, Calz. del Tecnológico S/N, Tomás Aquino, 22414 Tijuana, BC, Mexico;

关键词: hyperchaotic system;    fuzzy-based sliding-mode observer;    synchronization;   

DOI  :  10.3390/mca25010016

来源: DOAJ

【 摘 要 】

Hyperchaotic systems have applications in multiple areas of science and engineering. The study and development of these type of systems helps to solve diverse problems related to encryption and decryption of information. In order to solve the chaos synchronization problem for a hyperchaotic Lorenz-type system, we propose an observer based synchronization under a master-slave configuration. The proposed methodology consists of designing a sliding-mode observer (SMO) for the hyperchaotic system. In contrast, this type of methodology exhibits high-frequency oscillations, commonly known as chattering. To solve this problem, a fuzzy-based SMO system was designed. Numerical simulations illustrate the effectiveness of the synchronization between the hyperchaotic system obtained and the proposed observer.

【 授权许可】

Unknown