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Distributed \({H_\infty }\) State Estimation in Sensor Network Subject to State and Communication Delays

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Abstract

The distributed \(H_\infty \) state estimation of delayed sensor network is dealt with in this paper. To deeply reflect the time-delay phenomenon in the process of information fusion, a model containing state time-varying delay and different communication delays is set up. Afterwards, a fresh Lyapunov–Krasovskii functional (LKF) is given, which contains different kinds of time delays, delay-dependent matrix and multiple integral terms. Meanwhile, in order to cooperate with the constructed LKF to bring down the conservatism of the result effectively, relaxed-function-based single integral inequality and convex combination are employed to estimate the functional derivative. Thus, a less conservative criterion is gained to guarantee the asymptotic stability with desirable attenuation level of the estimation error system. Several simulation examples are used to testify the validity of the proposed approach.

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Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61973105), the Innovation Scientists and Technicians Troop Construction Projects of Henan Province (Grant No. CXTD2016054), Zhongyuan High Level Talents Special Support Plan (Grant No. 20420050027), the Fundamental Research Funds for the Universities of Henan Province (Grant No. NSFRF170501), Innovative Scientists and Technicians Team of Henan Provincial High Education (Grant No. 20IRTSTHN019).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454000, China

    Wei Qian, Xianglin Zhang, Yunji Zhao & Xinliang Zhang

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  1. Wei Qian
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  2. Xianglin Zhang
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Correspondence to Yunji Zhao.

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Qian, W., Zhang, X., Zhao, Y. et al. Distributed \({H_\infty }\) State Estimation in Sensor Network Subject to State and Communication Delays. Circuits Syst Signal Process 40, 3227–3243 (2021). https://doi.org/10.1007/s00034-020-01627-z

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