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Parity relation based fault estimation for nonlinear systems: An LMI approach

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Abstract

This paper proposes a parity relation based fault estimation for a class of nonlinear systems which can be modelled by Takagi-Sugeno (TS) fuzzy models. The design of a parity relation based residual generator is formulated in terms of a family of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed design techniques.

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Authors and Affiliations

  1. The Department of Electrical and Computer Engineering, the University of Auckland, Auckland, New Zealand

    Sing Kiong Nguang

  2. AKS, Faculty of Engineering, University of Duisburg-Essen, Duisburg, Germany

    Ping Zhang & Steven X. Ding

Authors
  1. Sing Kiong Nguang
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  2. Ping Zhang
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  3. Steven X. Ding
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Corresponding author

Correspondence to Sing Kiong Nguang.

Additional information

This work was supported by the Alexander von Humboldt Foundation.

Sing Kiong Nguang graduated (with first class honours) from the Department of Electrical and Computer Engineering of the University of Newcastle, Australia in 1992, and received his Ph.D. degree from the same university in 1995. He is currently holding an associate professorship in the Department of Electrical and Computer Engineering of the University of Auckland, New Zealand.

He has published over 90 journal papers and over 60 conference papers. His research interests include nonlinear control, fault tolerant control, fuzzy systems, and networked control systems.

Dr. Nguang is currently serving as associate editor for IEEE Control System Society Conference Editor Board, and is a senior member of IEEE.

Ping Zhang received her B.Sc. degree in control engineering from Huazhong University of Science and Technology, Wuhan, China, in 1997. From 1999 to 2001, she was with the University of Applied Science Lausitz in Senftenberg, Germany, in the framework of the DAAD-Sandwich-Program. She received her M.Sc. and Ph.D. degrees in control engineering from Tsinghua University, Beijing, China, in 2002. Since then, she has been working in the Institute for Automatic Control and Complex Systems (AKS) at the University of Duisburg-Essen, Germany.

Her research interests include model based fault diagnosis, fault tolerant control, identification for fault diagnosis, periodic and time-varying systems and networked control systems.

Steven X. Ding received his Ph. D. degree in electrical engineering from the Gerhard-Mercator University of Duisburg, Germany, in 1992. From 1992 to 1994, he was an R&D engineer at Rheinmetall GmbH. From 1995 to 2001, he was a professor of control engineering at the University of Applied Science Lausitz in Senftenberg, Germany, and served as vice president of this university during 1998–2000. He is currently a professor of automatic control and the chair of the Institute for Automatic Control and Complex Systems (AKS) at the University of Duisburg-Essen, Germany.

His research interests include model based fault diagnosis, fault tolerant systems and their application in industry with a focus on automotive systems.

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Nguang, S.K., Zhang, P. & Ding, S.X. Parity relation based fault estimation for nonlinear systems: An LMI approach. Int J Automat Comput 4, 164–168 (2007). https://doi.org/10.1007/s11633-007-0164-7

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  • DOI: https://doi.org/10.1007/s11633-007-0164-7

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