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

doi:10.1088/1674-1056/21/9/090505

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90505-090505.doi: 10.1088/1674-1056/21/9/090505

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

张路, 邓科, 罗懋康

College of Mathematics, Sichuan University, Chengdu 610065, China

收稿日期:2011-12-01 修回日期:2012-02-20 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11171238) and the Ministry of Education Program for Changjiang Scholars and Innovative Research Team in University, China (Grant No. IRTO0742).

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

Zhang Lu (张路), Deng Ke (邓科), Luo Mao-Kang (罗懋康)

College of Mathematics, Sichuan University, Chengdu 610065, China

Received:2011-12-01 Revised:2012-02-20 Online:2012-08-01 Published:2012-08-01
Contact: Luo Mao-Kang E-mail:makaluo@scu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11171238) and the Ministry of Education Program for Changjiang Scholars and Innovative Research Team in University, China (Grant No. IRTO0742).

摘要/Abstract

摘要： 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.

关键词: fractional chaotic system, chaos control, fractional-order controller, resistor-capacitor filter

Abstract: 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.

Key words: fractional chaotic system, chaos control, fractional-order controller, resistor-capacitor filter

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Gg (Control of chaos, applications of chaos)

张路, 邓科, 罗懋康. Control of fractional chaotic system based on fractional-order resistor–capacitor filter[J]. 中国物理B, 2012, 21(9): 90505-090505.

Zhang Lu (张路), Deng Ke (邓科), Luo Mao-Kang (罗懋康). Control of fractional chaotic system based on fractional-order resistor–capacitor filter[J]. Chin. Phys. B, 2012, 21(9): 90505-090505.

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

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

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