Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

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

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.

Keywords: chaotic systems nonlinear inversion-based control adaptive fuzzy control variable structure control

Received: 25 April 2012
Revised: 15 June 2012
Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Fund: Project supported by the Young Talents Natural Science Foundation for Universities of Anhui Province, China (Grant No. 2012SQRL179).

Corresponding Authors: Liu Heng
E-mail: liuheng122@gmail.com

Cite this article:

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

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Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

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