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Design of a bilinear fault detection observer for singular bilinear systems

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Abstract

A bilinear fault detection observer is proposed for a class of continuous time singular bilinear systems subject to unknown input disturbance and fault. By singular value decomposition on the original system, a bilinear fault detection observer is proposed for the decomposed system via an algebraic Riccati equation, and the domain of attraction of the state estimation error is estimated. A design procedure is presented to determine the fault detection threshold. A model of flexible joint robot is used to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Zhanshan Wang & Huaguang Zhang

  2. School of Information Science and Engineering, Shenyang Ligong University, Shenyang, Liaoning, 110168, China

    Zhanshan Wang

Authors
  1. Zhanshan Wang
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  2. Huaguang Zhang
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Additional information

This work was supported in part by National Nature Science Foundation of China (No. 60325311, 60534010, 60572070), the Funds for Creative Research Groups of China (No. 60521003) and the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0421).

Zhanshan WANG was born in Liaoning in 1971. He received the Master Degree in Control Theory and Control Engineering from Fushun Petroleum Institute in 2001. He is now a lecturer in Shenyang Ligong University and pursuing the Ph.D. in Northeastern University. His research interests are in fault diagnosis, fault tolerant control and stability of recurrent neural networks.

Huaguang ZHANG was born in Jilin in 1959. He received the Ph.D. from Southeastern University in 1991. Now he is a professor in Northeastern University. His research interests include fuzzy control, process control, nonlinear control and dynamics of recurrent neural networks.

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Wang, Z., Zhang, H. Design of a bilinear fault detection observer for singular bilinear systems. J. Control Theory Appl. 5, 28–36 (2007). https://doi.org/10.1007/s11768-005-5062-3

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  • DOI: https://doi.org/10.1007/s11768-005-5062-3

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