Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

doi:10.1088/1674-1056/21/12/120505

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120505-120505.doi: 10.1088/1674-1056/21/12/120505

Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

刘恒^a, 余海军^b, 向伟^a

a School of Mathematics and Computer Science, Huainan Normal University, Huainan 232038, China;
b School of Physics and Electronic Information, Huainan Normal University, Huainan 232038, China

收稿日期:2012-04-25 修回日期:2012-06-15 出版日期:2012-11-01 发布日期:2012-11-01
基金资助:
Project supported by the Young Talents Natural Science Foundation for Universities of Anhui Province, China (Grant No. 2012SQRL179).

Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

Liu Heng (刘恒)^a, Yu Hai-Jun (余海军)^b, Xiang Wei (向伟)^a

a School of Mathematics and Computer Science, Huainan Normal University, Huainan 232038, China;
b School of Physics and Electronic Information, Huainan Normal University, Huainan 232038, China

Received:2012-04-25 Revised:2012-06-15 Online:2012-11-01 Published:2012-11-01
Contact: Liu Heng E-mail:liuheng122@gmail.com
Supported by:
Project supported by the Young Talents Natural Science Foundation for Universities of Anhui Province, China (Grant No. 2012SQRL179).

摘要/Abstract

摘要： This paper presents a robust output feedback control method for uncertain chaotic systems which comprises a nonlinear inversion-based controller with a fuzzy robust compensator. The proposed controller eliminates the unknown nonlinear function by using a fuzzy system, whose inputs are not the state variables but feedback error signals. The underlying stability analysis as well as parameter update law design are carried out by Lyapunov-based technique. The proposed method indicates that the nonlinear inversion-based control approach can also be used to uncertain chaotic systems. Theoretical results are illustrated through two simulation examples.

关键词: chaotic systems, nonlinear inversion-based control, adaptive fuzzy control, variable structure control

Abstract: This paper presents a robust output feedback control method for uncertain chaotic systems which comprises a nonlinear inversion-based controller with a fuzzy robust compensator. The proposed controller eliminates the unknown nonlinear function by using a fuzzy system, whose inputs are not the state variables but feedback error signals. The underlying stability analysis as well as parameter update law design are carried out by Lyapunov-based technique. The proposed method indicates that the nonlinear inversion-based control approach can also be used to uncertain chaotic systems. Theoretical results are illustrated through two simulation examples.

Key words: chaotic systems, nonlinear inversion-based control, adaptive fuzzy control, variable structure control

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

刘恒, 余海军, 向伟. Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems[J]. Chin. Phys. B, 2012, 21(12): 120505-120505.

Liu Heng (刘恒), Yu Hai-Jun (余海军), Xiang Wei (向伟). Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems[J]. Chin. Phys. B, 2012, 21(12): 120505-120505.

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Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

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