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On Existence and Design of Distributed Observer for Systems with Directed Communication

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Automatic Control and Emerging Technologies (ACET 2023)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1141))

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Abstract

This paper investigates the state estimation problem of a distributed network testing system composed of N sensors. For the Luenberger-type observer design, they have the same observability. We first prove the existence of a class of observers under the condition of collective observability and strongly connected. The sensors network reconstructs all states under collective observability. The unobservable part is reconstructed via exchanging information with its neighbors. A consensus term is added to the traditional Luenberger observer to estimate the unobservable portions. The gain matrix design problem of local observer is solved. The asymptotic state reconstruction of communication topology and measurement information structure is realized on each sensor. Finally, the proposed observer is validated by simulation experiments.

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Authors and Affiliations

  1. North University of China, Taiyuan, Shanxi, China

    Shihang Li, Zhiheng Zhang, Ye Chen, Peng Liu & Jianfeng Cui

  2. Nanjing Vocational University of Industry Technology, Nanjing, Jiangsu, China

    Qingqing Cao

Authors
  1. Shihang Li
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  2. Zhiheng Zhang
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  3. Qingqing Cao
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  4. Ye Chen
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  5. Peng Liu
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  6. Jianfeng Cui
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Corresponding author

Correspondence to Peng Liu .

Editor information

Editors and Affiliations

  1. National School of Applied Sciences, Ibn Tofail University, Kénitra, Morocco

    Hassan El Fadil

  2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, Beijing, China

    Weicun Zhang

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Li, S., Zhang, Z., Cao, Q., Chen, Y., Liu, P., Cui, J. (2024). On Existence and Design of Distributed Observer for Systems with Directed Communication. In: El Fadil, H., Zhang, W. (eds) Automatic Control and Emerging Technologies. ACET 2023. Lecture Notes in Electrical Engineering, vol 1141. Springer, Singapore. https://doi.org/10.1007/978-981-97-0126-1_39

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