Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs

Weiqiang Chen; Yu Tian Xu; Jie Mei; Guangfu Ma

doi:10.1109/FASTA70174.2026.11549007

Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs

Weiqiang Chen
, Yu Tian Xu
, Jie Mei^*
, Guangfu Ma^*

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, distributed state estimation is investigated for discrete-time linear systems with stochastic disturbances and noise. Different from existing works, the disturbance is modeled as a Poisson-distributed process, which effectively captures the impulsive and stochastic characteristics of practical disturbances. Moreover, system and measurement noises are described as general stochastic processes without relying on Gaussian assumptions. Under these considerations, a consensus-based distributed observer is designed for joint state and disturbance estimation under directed topologies. Sufficient conditions are derived to ensure uniform mean-square boundedness of augmented estimation error.

Original language	English
Title of host publication	Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	656-661
Number of pages	6
ISBN (Electronic)	9798319547323
DOIs	https://doi.org/10.1109/FASTA70174.2026.11549007
State	Published - 2026
Externally published	Yes
Event	5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 - Qinhuangdao, China Duration: 22 May 2026 → 24 May 2026

Publication series

Name	Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

Conference

Conference	5th Conference on Fully Actuated System Theory and Applications, FASTA 2026
Country/Territory	China
City	Qinhuangdao
Period	22/05/26 → 24/05/26

Keywords

consensus
Distributed state estimation
multi-agent system
Poisson distribution
stochastic disturbance

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10.1109/FASTA70174.2026.11549007

Cite this

Chen, W., Xu, Y. T., Mei, J., & Ma, G. (2026). Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs. In Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 (pp. 656-661). (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FASTA70174.2026.11549007

Chen, Weiqiang ; Xu, Yu Tian ; Mei, Jie et al. / Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs. Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc., 2026. pp. 656-661 (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026).

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title = "Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs",

abstract = "In this paper, distributed state estimation is investigated for discrete-time linear systems with stochastic disturbances and noise. Different from existing works, the disturbance is modeled as a Poisson-distributed process, which effectively captures the impulsive and stochastic characteristics of practical disturbances. Moreover, system and measurement noises are described as general stochastic processes without relying on Gaussian assumptions. Under these considerations, a consensus-based distributed observer is designed for joint state and disturbance estimation under directed topologies. Sufficient conditions are derived to ensure uniform mean-square boundedness of augmented estimation error.",

keywords = "consensus, Distributed state estimation, multi-agent system, Poisson distribution, stochastic disturbance",

author = "Weiqiang Chen and Xu, \{Yu Tian\} and Jie Mei and Guangfu Ma",

note = "Publisher Copyright: {\textcopyright} 2026 IEEE.; 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 ; Conference date: 22-05-2026 Through 24-05-2026",

year = "2026",

doi = "10.1109/FASTA70174.2026.11549007",

language = "英语",

series = "Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "656--661",

booktitle = "Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026",

address = "美国",

}

Chen, W, Xu, YT, Mei, J & Ma, G 2026, Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs. in Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026, Institute of Electrical and Electronics Engineers Inc., pp. 656-661, 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026, Qinhuangdao, China, 22/05/26. https://doi.org/10.1109/FASTA70174.2026.11549007

Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs. / Chen, Weiqiang; Xu, Yu Tian; Mei, Jie et al.
Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc., 2026. p. 656-661 (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs

AU - Chen, Weiqiang

AU - Xu, Yu Tian

AU - Mei, Jie

AU - Ma, Guangfu

PY - 2026

Y1 - 2026

N2 - In this paper, distributed state estimation is investigated for discrete-time linear systems with stochastic disturbances and noise. Different from existing works, the disturbance is modeled as a Poisson-distributed process, which effectively captures the impulsive and stochastic characteristics of practical disturbances. Moreover, system and measurement noises are described as general stochastic processes without relying on Gaussian assumptions. Under these considerations, a consensus-based distributed observer is designed for joint state and disturbance estimation under directed topologies. Sufficient conditions are derived to ensure uniform mean-square boundedness of augmented estimation error.

AB - In this paper, distributed state estimation is investigated for discrete-time linear systems with stochastic disturbances and noise. Different from existing works, the disturbance is modeled as a Poisson-distributed process, which effectively captures the impulsive and stochastic characteristics of practical disturbances. Moreover, system and measurement noises are described as general stochastic processes without relying on Gaussian assumptions. Under these considerations, a consensus-based distributed observer is designed for joint state and disturbance estimation under directed topologies. Sufficient conditions are derived to ensure uniform mean-square boundedness of augmented estimation error.

KW - consensus

KW - Distributed state estimation

KW - multi-agent system

KW - Poisson distribution

KW - stochastic disturbance

UR - https://www.scopus.com/pages/publications/105043550258

U2 - 10.1109/FASTA70174.2026.11549007

DO - 10.1109/FASTA70174.2026.11549007

M3 - 会议稿件

AN - SCOPUS:105043550258

T3 - Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

SP - 656

EP - 661

BT - Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

Y2 - 22 May 2026 through 24 May 2026

ER -

Chen W, Xu YT, Mei J, Ma G. Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs. In Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc. 2026. p. 656-661. (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026). doi: 10.1109/FASTA70174.2026.11549007

Consensus-Based State Estimation for Stochastic Discrete-Time Systems with Poisson-Distributed Disturbances under Directed Graphs

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