Stability Analysis of Constrained Distributed Nonlinear and Linear Kalman Filters for Dynamical Systems With State Constraints

This article investigates the distributed nonlinear and linear Kalman filters for dynamical systems with state equality constraints via a sensor network, where each sensor estimates the system states by utilizing its own and neighbors' information. First, a constrained distributed extended Kalm...

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Bibliographic Details
Published in:IEEE transactions on aerospace and electronic systems 2024-02, Vol.60 (1), p.632-643
Main Authors: Lyu, Xiaoxu, Duan, Peihu, Duan, Zhisheng, Zhang, Zhao
Format: Article
Language:English
Subjects:
Algorithms
Constraints
distributed extended Kalman filter
Distributed Kalman filter
Dynamic stability
Dynamical systems
Estimation
Extended Kalman filter
Heuristic algorithms
Kalman filters
Power system stability
sensor network
stability
Stability analysis
Stability criteria
state equality constraint
State estimation
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Summary:This article investigates the distributed nonlinear and linear Kalman filters for dynamical systems with state equality constraints via a sensor network, where each sensor estimates the system states by utilizing its own and neighbors' information. First, a constrained distributed extended Kalman filter is proposed, and its stability is proven under feasibility conditions. Then, this constrained distributed extended Kalman filter is relaxed to the linear form, obtaining more precise results under weaker conditions. Moreover, a local constraint fusion algorithm is proposed. Finally, the effectiveness of the proposed filters is demonstrated by two simulation examples.
ISSN:0018-9251
1557-9603
DOI:10.1109/TAES.2023.3328849