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Joint State and Fault Estimation for Discrete-Time Networked Systems with Unknown Measurement Delays

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Abstract

This paper addresses the joint state and fault estimation problem for a class of discrete-time networked systems with unknown measurement delays. A novel augmented observer is developed to simultaneously estimate system states, fault signals and the perturbed term caused by measurement delays. For this purpose, an augmented descriptor system is first established by considering the faults and the perturbed term as auxiliary state vectors. Then, a modified state-space observer is constructed to estimate the extended state. Intensive stability analysis is carried out to obtain the sufficient condition for the existence of the desired estimator, and the corresponding optimal observer parameters can be co-designed by solving a convex optimization problem. Finally, a numerical example is exploited to illustrate the effectiveness of the proposed joint estimation scheme.

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Data Availability Statement

All data generated or analyzed during this study are included in this published article.

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Acknowledgements

The authors would like to express their sincere gratitude to the editors and the anonymous reviewers for their valuable comments and suggestions which improved the quality of the paper. This work was supported by the National Natural Science Foundation of China under Grants 61403168 and 61876073.

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Authors and Affiliations

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

    Shun Jiang, Qinghang Zhang, Feng Pan & Zhihai Wu

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  1. Shun Jiang
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  2. Qinghang Zhang
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  3. Feng Pan
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  4. Zhihai Wu
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Correspondence to Shun Jiang.

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Jiang, S., Zhang, Q., Pan, F. et al. Joint State and Fault Estimation for Discrete-Time Networked Systems with Unknown Measurement Delays. Circuits Syst Signal Process 40, 2228–2241 (2021). https://doi.org/10.1007/s00034-020-01570-z

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