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Robust Fault Detection for Nonlinear Networked Systems with Multiple Fading Measurements

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Abstract

In this paper, the fault detection problem is investigated for a class of nonlinear networked systems with multiple fading measurements. A stochastic Rice fading model is employed to simultaneously describe the phenomena of random time delays and channel fadings via setting different values of the channel coefficients. Attention is focused on the design of a full-order fault detection filter such that the overall fault detection dynamics is exponentially mean-square stable and the disturbance rejection attenuation is constrained to a prescribed level by means of the \(H_{\infty }\) performance index. Intensive stochastic analysis is carried out to obtain sufficient conditions for the existence of the desired fault detection filter, and the corresponding optimal filter parameters can be easily derived by solving a convex optimization problem via a semi-definite program method. Finally, a numerical example is exploited to illustrate the effectiveness of the proposed method.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grants 61403168, 61473127, 61273131, 61203147, 61374047, and the PAPD of Jiangsu Higher Education Institutions.

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Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122, People’s Republic of China

    Shun Jiang & Feng Pan

  2. School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China

    Huajing Fang

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  1. Shun Jiang
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  2. Huajing Fang
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  3. Feng Pan
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Correspondence to Shun Jiang.

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Jiang, S., Fang, H. & Pan, F. Robust Fault Detection for Nonlinear Networked Systems with Multiple Fading Measurements. Circuits Syst Signal Process 34, 2873–2891 (2015). https://doi.org/10.1007/s00034-015-0003-y

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  • DOI: https://doi.org/10.1007/s00034-015-0003-y

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