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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 762385, 8 pages
Research Article

Fault Tolerant Control for Civil Structures Based on LMI Approach

Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China

Received 18 July 2013; Revised 22 September 2013; Accepted 16 October 2013

Academic Editor: Bo-Chao Zheng

Copyright © 2013 Chunxu Qu 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.


The control system may lose the performance to suppress the structural vibration due to the faults in sensors or actuators. This paper designs the filter to perform the fault detection and isolation (FDI) and then reforms the control strategy to achieve the fault tolerant control (FTC). The dynamic equation of the structure with active mass damper (AMD) is first formulated. Then, an estimated system is built to transform the FDI filter design problem to the static gain optimization problem. The gain is designed to minimize the gap between the estimated system and the practical system, which can be calculated by linear matrix inequality (LMI) approach. The FDI filter is finally used to isolate the sensor faults and reform the FTC strategy. The efficiency of FDI and FTC is validated by the numerical simulation of a three-story structure with AMD system with the consideration of sensor faults. The results show that the proposed FDI filter can detect the sensor faults and FTC controller can effectively tolerate the faults and suppress the structural vibration.