Distributed observers for linear systems with communication noises over Markovian switching topologies

Kairui Chen, Minyi Liu, Zhangmou Zhu and Junwei Wang

International Journal of Systems Science, 2025, vol. 56, issue 9, 1973-1985

Abstract: This paper studies the distributed state estimation problem for a linear system that is jointly observable with the consideration of communication noises and Markovian switching topologies. To address this issue, a network of observers is proposed, where each observer only measures partial system output, which may not be sufficient to observe the complete state of the system. Subsequently, all observers within the network collaborate by sharing their estimated states with their neighbours through the network, facilitating a cooperative reconstruction of the entire state at each local observer. To better reflect the communication environment, we consider a situation in which communication links may fail and rebuild over time, and communication noises may occur when observers exchange information through Markovian switching topologies. Parameters of observers are designed properly, under which each observer fulfills the estimation task in the mean square sense. Illustrative examples to demonstrate the effectiveness of the distributed observers are also provided.

Date: 2025
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DOI: 10.1080/00207721.2024.2436639

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