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Non-fragile H∞ Fault Detection for Nonlinear Systems with Stochastic Communication Protocol and Channel Fadings

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  • Control Theory and Applications
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Abstract

This paper deals with the fault detection problem for a class of randomly occurring nonlinear systems with channel fadings under stochastic communication protocol (SCP). Due to the limited communication capacity, the stochastic communication protocol is adopted to determine when the sensor node is used to transmit data between the sensors and the fault detection filter, the actual measurement signal received by the filter is represented by the L-order Rice fading model. A non-fragile fault detection filter is constructed to generate the residual signal. And in order to analyze the stable of the error dynamics, an auxiliary error system is established. Combining stochastic analysis technique, Lyapunov stability theory, linear matrix inequalities(LMIs) calculation method and H∞ filtering technique, the fault detection problem is transformed into equivalent H∞ filtering problem, the sufficient conditions for the existence of fault detection filter are obtained that ensure stochastically stability of the error dynamics with prescribed H∞ performance constraints. In addition, the filter gains can be calculated by solving the LMI. Finally, a numerical simulation example is given for the effectiveness of the fault detection scheme.

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Authors and Affiliations

  1. School of Electrical Information Engineering in NorthEast Petroleum University, Daqing, China

    Weijian Ren & Chaohai Kang

  2. Heilongjiang Provincial Key Laboratory of Networking and Intelligent Control, Daqing, China

    Weijian Ren & Chaohai Kang

  3. Qingdao GoerTek Technology Co., ltd., Qingdao, China

    Mengyu Gao

Authors
  1. Weijian Ren
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  2. Mengyu Gao
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  3. Chaohai Kang
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Corresponding author

Correspondence to Chaohai Kang.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Dan Zhang under the direction of Editor Jessie (Ju H.) Park. This journal was supported by the Natural Science Foundation of Heilongjiang province F2018004.

Weijian Ren received her Ph.D. degree in oil and natural gas engineering from NorthEast Petroleum University, Daqing, in 2006. She has been with the School of Electrical Information Engineering in NorthEast Petroleum University, Daqing, China, where she is currently a professor. Her research interests and areas of publication include modeling and control of complex systems, fault diagnosis and simulatiuon.

Mengyu Gao received her M.S. degree in control science and engineering with the Heilongjiang Provincial Key Laboratory of Networking and Intelligent Control in NorthEast Petroleum University in 2020. She is currently with the Qingdao GoerTek Technology Co., ltd., Qingdao, China. Her research interest is fault detection for networked control systems.

Chaohai Kang received his M.S. degree in control theory and control engineering from NorthEast Petroleum University, Daqing, in 2005, where he is currently an Associate Professor. His research interests and areas of publication include intelligent control of networked control system.

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Ren, W., Gao, M. & Kang, C. Non-fragile H∞ Fault Detection for Nonlinear Systems with Stochastic Communication Protocol and Channel Fadings. Int. J. Control Autom. Syst. 19, 2150–2162 (2021). https://doi.org/10.1007/s12555-020-0137-y

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  • DOI: https://doi.org/10.1007/s12555-020-0137-y

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