Control of a fractional chaotic system based on a fractional-order resistor-capacitor filter

We present a new fractional-order resistor-capacitor controller and a novel control method based on the fractional- order controller to control an arbitrary three-dimensional fractional chaotic system. The proposed control method is simple, robust, and theoretically rigorous, and its anti-noise perf...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 9; pp. 133 - 141
Main Author 张路 邓科 罗懋康
Format Journal Article
LanguageEnglish
Published 01.09.2012
Subjects
Chaos theory
Computer simulation
Control systems
Controllers
Mathematical models
Three dimensional
分数阶控制器
基础
抗噪声性能
数值模拟
混沌系统
电容控制器
电容滤波器
电阻
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Summary:We present a new fractional-order resistor-capacitor controller and a novel control method based on the fractional- order controller to control an arbitrary three-dimensional fractional chaotic system. The proposed control method is simple, robust, and theoretically rigorous, and its anti-noise performance is satisfactory. Numerical simulations are given for several fractional chaotic systems to verify the effectiveness and the universality of the proposed control method.
Bibliography:We present a new fractional-order resistor-capacitor controller and a novel control method based on the fractional- order controller to control an arbitrary three-dimensional fractional chaotic system. The proposed control method is simple, robust, and theoretically rigorous, and its anti-noise performance is satisfactory. Numerical simulations are given for several fractional chaotic systems to verify the effectiveness and the universality of the proposed control method.
fractional chaotic system, chaos control, fractional-order controller, resistor capacitorfilter
Zhang Lu, Deng Ke, and Luo Mao-Kang College of Mathematics, Sichuan University, Chengdu 610065, China
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/9/090505