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Fault detection and diagnosis for delay-range-dependent stochastic systems using output PDFs

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  • Control Theory and Applications
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Abstract

This paper investigates a new fault detection and diagnosis(FDD) scheme for delay-range-dependent stochastic systems. Compared with classical FDD problem, the measurable information in this paper is supposed to be the output probability density function(PDF), rather than the output itself. By using the square root B-spline approximation technique, the dynamic weight model of the output PDFs is established and the considered problem is converted into a nonlinear FDD problem for stochastic systems with delays. The main objective of this paper is to construct a filter based residual generator such that the fault can be detected and estimated. The FDD criteria is provided on the basis of linear matrix inequalities(LMIs). Besides, to improve the FDD performance, the tuning parameters, slack variables as well as the free-weighting matrices are applied to optimize the FDD criteria. Finally, the simulations are given to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. CICAEET, Nanjing University of Information Science & Technology, Nanjing, 210044, China

    Liping Yin, Pengwei Zhu & Tao Li

Authors
  1. Liping Yin
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  2. Pengwei Zhu
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  3. Tao Li
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Corresponding author

Correspondence to Liping Yin.

Additional information

Recommended by Associate Editor Guang-Hong Yang under the direction of Editor Duk-Sun Shim. This work was jointly supported by NSFC under grant 61320106010, 61573190, 61403207, 61571014, Jiangsu Province Fund for Distinguished Scientist (BK20140045) and Six talent peaks project in Jiangsu Province: 2015-DZXX-013.

Liping Yin was born in Yancheng, China in 1980. She received her B.S. degree from Huaiyin Normal College, an M.S. degree from Qufu Normal University and a Ph.D. degree in Control Engineering at Southeast University, Nanjing, China. After a postdoc in Beihang University, she spent one full year as a visiting scholar in the Control Systems Center, Manchester University, UK in 2014. She is now working as an assistant professor in Nanjing University of Information Science & Technology( NUIST). Her research interests include stochastic systems, fault detection and filter design, optimal control, etc.

Pengwei Zhu was born in Nantong, China in 1992. He received the B.E. degree from NUIST. He is currently working towards his M.S. degree in NUIST. His research interests include fault detection and diagnosis, optimal control.

Tao Li received the Ph.D. degree from Southeast University, Nanjing, China. He is a Professor with NUIST, Nanjing. His current research interests include fault detection and fault-tolerant control for time-delay systems. He has published over 50 papers in journals with over 500 citations. Prof. Li was a recipient of the Outstanding Young Scholar of Jiangsu Province, China. He has completed the visiting scholar fellowships with the University of Alberta, Edmonton, AB, Canada, the University of Western Sydney, South Penrith, NSW, Australia, the University of Hong Kong, and the City University of Hong Kong.

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Yin, L., Zhu, P. & Li, T. Fault detection and diagnosis for delay-range-dependent stochastic systems using output PDFs. Int. J. Control Autom. Syst. 15, 1701–1709 (2017). https://doi.org/10.1007/s12555-016-0048-0

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  • DOI: https://doi.org/10.1007/s12555-016-0048-0

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