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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 297985, 10 pages
Research Article

Fault Tolerant Control for Uncertain Time-Delay Systems with a Trajectory Tracking Approach

School of SoftWare, Harbin University of Science and Technology, Harbin 150036, China

Received 13 September 2014; Revised 31 December 2014; Accepted 2 January 2015

Academic Editor: Vincent Cocquempot

Copyright © 2015 ShiLei Zhao 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.


This paper studies the problem of fault tolerant control by trajectory tracking for a class of linear constant time-delay systems. The aim is to design a control law by considering the fault detected by the observer to make the faulty system track the reference model even if faults occur. By considering two kinds of actuator faults, one constant and another time-varying, the corresponding proportional integral observers and active FTC control laws are designed, respectively. State tracking error, state estimation error, output estimation error, and fault estimation error are combined into a descriptor system. Based on Lyapunov-Krasovskii functional approach stability problems of the descriptor system are easily solved in terms of the Linear Matrix Inequalities (LMI). Finally, a numerical example is considered to prove the effectiveness in both cases.