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Journal of Control Science and Engineering
Volume 2016 (2016), Article ID 2931524, 8 pages
http://dx.doi.org/10.1155/2016/2931524
Research Article

Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains

1Software School, University of Science and Technology Liaoning, Anshan, Liaoning 114051, China
2School of Science, University of Science and Technology Liaoning, Anshan, Liaoning 114051, China
3School of Material and Metallurgy, University of Science and Technology Liaoning, Anshan, Liaoning 114051, China
4College of International of Finance and Banking, University of Science and Technology Liaoning, Anshan, Liaoning 114051, China

Received 28 September 2016; Revised 15 November 2016; Accepted 22 November 2016

Academic Editor: Xian Zhang

Copyright © 2016 Yu-Jun Zhang et al. 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

In this paper, the problem of adaptive fuzzy tracking control is considered for a class of uncertain nonaffine nonlinear systems with external disturbances, multiple time delays, and nonsymmetric saturation constrains. First, the mean value theorem is employed to deal with the nonaffine term with input nonlinearity. Then, a new adaptive fuzzy tracking controller with parameter updating laws is designed by using fuzzy approximation technique. Moreover, it is shown that all the closed-loop signals are bounded and the tracking errors can asymptotically converge to zero via the Lyapunov stability analysis. Finally, the simulation example for van der Pol oscillator system is worked out to verify the effectiveness of the proposed adaptive fuzzy design approach.