Control of fractional chaotic and hyperchaotic systems based on a fractional order controller

We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigor...

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Bibliographic Details
Published inChinese physics B Vol. 23; no. 8; pp. 274 - 284
Main Authors Li, Tian-Zeng, Wang, Yu, Luo, Mao-Kang
Format Journal Article
LanguageEnglish
Published 01.08.2014
Subjects
Chaos theory
Computer simulation
Control systems
Controllers
Lyapunov稳定性理论
Mathematical models
Stability
分数阶控制器
数值模拟
普遍性
系统系统
系统验证
超混沌系统
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Summary:We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.
Bibliography:fractional-order chaotic system, chaos control, fractional-order controller, hyperchaos
11-5639/O4
We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/23/8/080501