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Fault diagnosis for singular stochastic systems

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Abstract

This paper studies the fault diagnosis of singular stochastic systems. The probability distribution of output is measured by probability density functions (PDFs), which are modeled by a square root B-spline expansion. An adaptive nonlinear observer is proposed to estimate the size of the fault occurring in systems. Furthermore, the linear matrix inequality (LMI) approach is applied to establish sufficient conditions for the existence of the observer. Finally, the simulation results are given to indicate the method for diagnosing the fault.

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Authors and Affiliations

  1. School of Electronic, Information and Electrical Engineering, Shanghai Jiaotong University, Shanghai, 200240, China

    Zhuo-huan Hu  (胡卓焕), Zheng-zhi Han  (韩正之) & Zuo-hua Tian  (田作华)

Authors
  1. Zhuo-huan Hu  (胡卓焕)
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  2. Zheng-zhi Han  (韩正之)
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  3. Zuo-hua Tian  (田作华)
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Corresponding author

Correspondence to Zhuo-huan Hu  (胡卓焕).

Additional information

Foundation item: the National Natural Science Foundation of China (Nos. 60574081 and 60674024)

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Hu, Zh., Han, Zz. & Tian, Zh. Fault diagnosis for singular stochastic systems. J. Shanghai Jiaotong Univ. (Sci.) 16, 497–501 (2011). https://doi.org/10.1007/s12204-011-1135-2

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  • DOI: https://doi.org/10.1007/s12204-011-1135-2

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