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Mathematical Problems in Engineering
Volume 2016, Article ID 1316046, 8 pages
Research Article

Disturbance Rejection for Fractional-Order Time-Delay Systems

School of Electric Power, South China University of Technology, Guangzhou, Guangdong 510641, China

Received 8 April 2016; Accepted 10 May 2016

Academic Editor: Riccardo Caponetto

Copyright © 2016 Hai-Peng Jiang and Yong-Qiang 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.


This paper presents an equivalent-input-disturbance (EID-) based disturbance rejection method for fractional-order time-delay systems. First, a modified state observer is applied to reconstruct the state of the fractional-order time-delay plant. Then, a disturbance estimator is designed to actively compensate for the disturbances. Under such a construction of the system, by constructing a novel monochromatic Lyapunov function and using direct Lyapunov approach, the stability analysis and controller design algorithm are derived in terms of linear matrix inequality (LMI) technique. Finally, simulation results demonstrate the validity of the proposed method.