LMI-based H-/H∞ observer design in low frequency domain with application in fault detection

Authors:
Xiao-Jian Li;Guang-Hong Yang
Affiliations:
College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China and Institute of Systems Science, Northeastern University, Shenyang, China;College of Information Science and Engineering, Northeastern University, Shenyang, P.R. China and Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of ...
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

This paper deals with the robust fault detection( FD) problem in low frequency domain for linear timedelay systems. The H∞ norm and H- index are employed to measure the robustness to unknown inputs and the sensitivity to faults, respectively. The main results include derivation of a sufficient condition for the existence of a robust fault detection observer and a construction of it based on the linear matrix inequality(LMI) solution parameters. Finally, numerical simulation demonstrates the effectiveness of the presented methodology.