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Distributed H∞ filtering of nonlinear systems with random topology by an event-triggered protocol

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Abstract

Applying an event-triggered protocol, this paper proposes a distributed H∞ filter design for nonlinear perturbed systems under fading measurements with random topology. Nonlinearities in this system obey the one-sided Lipschitz constraint, which embraces the conventional Lipschitz condition as a special case. The sensor network allows random variations of the interconnection strengths between adjacent nodes, and the connection coefficient is determined as the product of a constant and a stochastic variable with a known probabilistic feature. To reduce the unnecessary data transmission and efficiently use the limited bandwidth, the transmissions are orchestrated by an event-triggered regulating strategy. A stochastic bounded real lemma is established for the resulting error dynamics. Based on the presented matrix decomposition, which removes the direct coupling between the statistical information of interconnection strengths and the filter gain, the distributed H∞ filter gain can be explicitly expressed and easily solved. The usefulness of the theoretical method is demonstrated in a simulation study.

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Acknowledgements

This work was supported partially by Zhejiang Provincial Natural Science Foundation (Grant No. LR16F0-30003) and partially by National Natural Science Foundation of China (Grant Nos. 61973102, U1509205).

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Authors and Affiliations

  1. Key Lab for IoT and Information Fusion Technology of Zhejiang, Hangzhou Dianzi University, Hangzhou, 310018, China

    Yun Chen, Mengze Zhu & Anke Xue

  2. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Renquan Lu

Authors
  1. Yun Chen
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  2. Mengze Zhu
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  3. Renquan Lu
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  4. Anke Xue
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Correspondence to Renquan Lu.

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Chen, Y., Zhu, M., Lu, R. et al. Distributed H∞ filtering of nonlinear systems with random topology by an event-triggered protocol. Sci. China Inf. Sci. 64, 202204 (2021). https://doi.org/10.1007/s11432-020-3072-9

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  • DOI: https://doi.org/10.1007/s11432-020-3072-9

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