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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 541918, 10 pages
http://dx.doi.org/10.1155/2014/541918
Research Article

Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems

1School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
2Department of Mathematics and Computational Science, Huainan Normal University, Huainan 232038, China

Received 24 December 2013; Accepted 27 January 2014; Published 12 March 2014

Academic Editor: Guanghui Wen

Copyright © 2014 Junhai Luo and Heng Liu. 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.

Abstract

This paper presents a robust adaptive fuzzy sliding mode control method for a class of uncertain nonlinear systems. The fractional order calculus is employed in the parameter updating stage. The underlying stability analysis as well as parameter update law design is carried out by Lyapunov based technique. In the simulation, two examples including a comparison with the traditional integer order counterpart are given to show the effectiveness of the proposed method. The main contribution of this paper consists in the control performance is better for the fractional order updating law than that of traditional integer order.