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Probabilistic-constrained distributed fusion filtering for a class of time-varying systems over sensor networks: a torus-event-triggering mechanism

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  • Fanrong Qu
  • Xia Zhao
  • Xinmeng Wang
  • Engang Tian

Abstract

This paper investigates the problem of distributed fusion over sensor networks with probabilistic constraints and stochastic perturbations. In order to save the bandwidth resources, a new event-triggering mechanism (ETM), called torus-event-triggering mechanism (TETM), is utilised for data transmission. Compared with the traditional ETMs, the TETM has two thresholds, which will not only discard the sampling data smaller than the lower threshold but also hold back the packet larger than the upper threshold. The main purpose of this paper is to design a time-varying distributed fusion filter such that: (1) the probability of the filtering error falling in a given ellipsoid domain is greater than a specified value and (2) the ellipsoidal set is minimised in the sense of matrix norm at each time point. To achieve the above-mentioned purpose, sufficient conditions are given to obtain the global fusion with the help of the recursive linear matrix inequality technique. The desired local filter parameters are then computed by solving an optimisation problem with some inequality constraints. Finally, a numerical simulation is given to illustrate the effectiveness and applicability of the proposed distributed fusion strategy.

Suggested Citation

  • Fanrong Qu & Xia Zhao & Xinmeng Wang & Engang Tian, 2022. "Probabilistic-constrained distributed fusion filtering for a class of time-varying systems over sensor networks: a torus-event-triggering mechanism," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(6), pages 1288-1297, April.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1288-1297
    DOI: 10.1080/00207721.2021.1998721
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    Cited by:

    1. Liu, Dan & Wang, Zidong & Liu, Yurong & Xue, Changfeng & Alsaadi, Fuad E., 2023. "Distributed Recursive Filtering for Time-Varying Systems with Dynamic Bias over Sensor Networks: Tackling Packet Disorders," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Guo, Xinchen & Wei, Guoliang, 2023. "Distributed sliding mode consensus control for multiple discrete-Time Euler-Lagrange systems," Applied Mathematics and Computation, Elsevier, vol. 446(C).

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