A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control | Zendy

Yinlan Chen | Zendy; Haodong Zhang | Zendy; Xu Guang Kong | Zendy

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A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control

Author(s) -

Yinlan Chen,

Haodong Zhang,

Xu Guang Kong

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/6625765

Subject(s) - control theory (sociology) , univariate , synchronization (alternating current) , tracking (education) , integer (computer science) , computer science , chaotic , adaptive control , order (exchange) , lyapunov exponent , mathematics , control (management) , artificial intelligence , multivariate statistics , psychology , computer network , pedagogy , channel (broadcasting) , finance , machine learning , economics , programming language

We construct for the first time a fractional-order hyperchaotic system via the original integer-order system. The dynamical behavior of this fractional-order hyperchaotic system is investigated in detail using first approximation method and Lyapunov exponents. Next, an adaptive control strategy for the univariate controlled hyperchaotic system has been proposed. Also, the tracking performance is fully taken into account in numerous applications, for instance, tracking sinusoidal periodic signal, self-synchronization, and generalized synchronization of heterogeneous structure. Simulation results illustrate the validity and performability of the proposed adaptive tracking control scheme.

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