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

Entropy

Ling Li³  Yeguo Sun²  Guanrong Chen¹  C.K. Michael Tse¹  Mustak E. Yalcin¹  Hai Yu¹ 

[1] School of Economics and Management, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China; E-Mail;School of Finance, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China;School of Economics and Management, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China; E-Mail:

关键词: adaptive fuzzy control;    nonlinear fractional-order systems;    Lyapunov direct method;   

DOI  :  10.3390/e17085580

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.