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Entropy 2015, 17(8), 5580-5592; doi:10.3390/e17085580

Adaptive Fuzzy Control for Nonlinear Fractional-Order Uncertain Systems with Unknown Uncertainties and External Disturbance

1
and
2,*
1
School of Economics and Management, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China
2
School of Finance, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China
*
Author to whom correspondence should be addressed.
Academic Editors: Guanrong Chen, C.K. Michael Tse, Mustak E. Yalcin, Hai Yu and Mattia Frasca
Received: 30 April 2015 / Revised: 19 July 2015 / Accepted: 30 July 2015 / Published: 3 August 2015
(This article belongs to the Special Issue Recent Advances in Chaos Theory and Complex Networks)
View Full-Text   |   Download PDF [170 KB, uploaded 3 August 2015]   |  

Abstract

In this paper, the problem of robust control of nonlinear fractional-order systems in the presence of uncertainties and external disturbance is investigated. Fuzzy logic systems are used for estimating the unknown nonlinear functions. Based on the fractional Lyapunov direct method and some proposed Lemmas, an adaptive fuzzy controller is designed. The proposed method can guarantee all the signals in the closed-loop systems remain bounded and the tracking errors converge to an arbitrary small region of the origin. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results. View Full-Text
Keywords: adaptive fuzzy control; nonlinear fractional-order systems; Lyapunov direct method adaptive fuzzy control; nonlinear fractional-order systems; Lyapunov direct method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Li, L.; Sun, Y. Adaptive Fuzzy Control for Nonlinear Fractional-Order Uncertain Systems with Unknown Uncertainties and External Disturbance. Entropy 2015, 17, 5580-5592.

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