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Robust observer-based sensor fault reconstruction for discrete-time systems via a descriptor system approach

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  • Control Theory
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Abstract

This paper addresses the problem of observer-based sensor fault reconstruction for discretetime systems subject to external disturbances via a descriptor system approach. First, an augmented descriptor system is formulated by letting the sensor fault term be an auxiliary state vector; then a discrete-time descriptor state observer is constructed to achieve concurrent reconstructions of original system states and sensor faults. Sufficient and necessary conditions for the asymptotic stability of the proposed observer are explicitly provided. To broaden its application scope, less restrictive existence conditions are further discussed. Further, sufficient conditions for the robust stability of the proposed observer are formulated in terms of linear matrix inequalities (LMIs) that can be conveniently solved using LMI optimization techniques. After that, an extension of the proposed linear approach to discretetime nonlinear systems with Lipschitz constraint is investigated. At last, two illustrative examples are given to verify the effectiveness of the proposed techniques.

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Authors and Affiliations

  1. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Qingxian Jia & Yingchun Zhang

  2. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin, 1500 01, P. R. China

    Huayi Li & Xueqin Chen

  3. National & Local United Engineering Research Center of Small Satellite Technology, Changchun, 130033, P. R. China

    Huayi Li & Xueqin Chen

Authors
  1. Qingxian Jia
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  2. Huayi Li
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  3. Yingchun Zhang
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  4. Xueqin Chen
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Corresponding author

Correspondence to Huayi Li.

Additional information

Qingxian Jia received his M.S. degree in Control Science and Engineering from Harbin Institute of Technology, China, in 2010. Currently, he is a Ph.D. candidate in Control Science and Engineering, Harbin Institute of Technology. His research interests include fault diagnosis, fault-tolerant control and their application on spacecraft attitude control systems.

Huayi Li received his M.E. and Ph.D. degrees in Control Science and Engineering from Harbin Institute of Technology, China, in 2004 and 2008, respectively. Now he is a lecturer in Harbin Institute of Technology. His research interests include fault monitoring, satellite attitude and orbit control.

Yingchun Zhang received his B.S degree in Automation from Tsinghua University, China, and his M.S. degree in Control Science and Engineering from Harbin Institute of Technology, China, in 1984 and 1987, respectively. Now he is a professor in Harbin Institute of Technology, and a chief engineer in Shenzhen Aerospace Dongfanghong HIT Satellite Company Ltd, China. His research interests include satellite fault diagnosis, fault-tolerant control and micro-satellite design.

Xueqin Chen received her M.E. degree in Spacecraft Design and her Ph.D. degree in Control Science and Engineering from Harbin Institute of Technology, China, in 2005 and 2008, respectively. Now she is an associate researcher in Harbin Institute of Technology. Her research interests include fault diagnosis and fault-tolerant control for satellite attitude control systems.

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Jia, Q., Li, H., Zhang, Y. et al. Robust observer-based sensor fault reconstruction for discrete-time systems via a descriptor system approach. Int. J. Control Autom. Syst. 13, 274–283 (2015). https://doi.org/10.1007/s12555-014-0098-0

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  • DOI: https://doi.org/10.1007/s12555-014-0098-0

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