Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures

Yuchen Zhang; Bo Chen; Li Yu; Daniel W.C. Ho

doi:10.1109/TNSE.2024.3382367

Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures

Yuchen Zhang, Bo Chen^*, Li Yu, Daniel W.C. Ho

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Abstract

This paper is concerned with the problem of distributed estimation for time-varying interconnected systems with arbitrary coupling structures. A distributed stability condition requiring only the information from each subsystem and its neighbors is proposed to guarantee the stability of the designed distributed estimator. Then, a simplified condition without the real-time exchange of estimator gains is further proposed to reduce the communication burden. Under distributed stability constraints, the optimal estimator gain is designed by solving a convex optimization problem. Notice that the involved convex optimization problem can be easily solved by standard software packages because the constraints can be transformed into linear matrix inequalities. It is also shown that the designed distributed estimator is scalable for adding or subtracting subsystems. Finally, an illustrative example of a three-tank interconnected system is employed to show the effectiveness of the proposed methods. © 2024 IEEE.

Original language	English
Pages (from-to)	3667-3677
Journal	IEEE Transactions on Network Science and Engineering
Volume	11
Issue number	4
Online published	28 Mar 2024
DOIs	https://doi.org/10.1109/TNSE.2024.3382367
Publication status	Published - Jul 2024

Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 62073292 and Grant 92367205, in part by the Key Research and Development Program of Zhejiang Province under Grant 2023C01144, in part by the Fundamental Research Funds for the Provincial Universities of Zhejiang under Grant RF-C2023007, in part by the funding of Leading Innovative and Entrepreneur Team Introduction Program of Zhejiang under Grant 2023R01006, and in part by the Research Grants Council of the Hong Kong Special Administrative Region, China, under Grant CityU 11203521 and Grant 11213023.

Research Keywords

convex optimization
Couplings
distributed estimation
distributed stability condition
Estimation
Interconnected systems
optimal estimator
Optimization
Stability analysis
Time-varying interconnected system
Time-varying systems
Vectors

Publisher's Copyright Statement

COPYRIGHT TERMS OF DEPOSITED POSTPRINT FILE: © 2024 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Zhang, Y., Chen, B., Yu, L., & Ho, D. W. C. (2024). Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures. IEEE Transactions on Network Science and Engineering, 11(4), 3667-3677. https://doi.org/10.1109/TNSE.2024.3382367

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title = "Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures",

abstract = "This paper is concerned with the problem of distributed estimation for time-varying interconnected systems with arbitrary coupling structures. A distributed stability condition requiring only the information from each subsystem and its neighbors is proposed to guarantee the stability of the designed distributed estimator. Then, a simplified condition without the real-time exchange of estimator gains is further proposed to reduce the communication burden. Under distributed stability constraints, the optimal estimator gain is designed by solving a convex optimization problem. Notice that the involved convex optimization problem can be easily solved by standard software packages because the constraints can be transformed into linear matrix inequalities. It is also shown that the designed distributed estimator is scalable for adding or subtracting subsystems. Finally, an illustrative example of a three-tank interconnected system is employed to show the effectiveness of the proposed methods. {\textcopyright} 2024 IEEE.",

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N2 - This paper is concerned with the problem of distributed estimation for time-varying interconnected systems with arbitrary coupling structures. A distributed stability condition requiring only the information from each subsystem and its neighbors is proposed to guarantee the stability of the designed distributed estimator. Then, a simplified condition without the real-time exchange of estimator gains is further proposed to reduce the communication burden. Under distributed stability constraints, the optimal estimator gain is designed by solving a convex optimization problem. Notice that the involved convex optimization problem can be easily solved by standard software packages because the constraints can be transformed into linear matrix inequalities. It is also shown that the designed distributed estimator is scalable for adding or subtracting subsystems. Finally, an illustrative example of a three-tank interconnected system is employed to show the effectiveness of the proposed methods. © 2024 IEEE.

AB - This paper is concerned with the problem of distributed estimation for time-varying interconnected systems with arbitrary coupling structures. A distributed stability condition requiring only the information from each subsystem and its neighbors is proposed to guarantee the stability of the designed distributed estimator. Then, a simplified condition without the real-time exchange of estimator gains is further proposed to reduce the communication burden. Under distributed stability constraints, the optimal estimator gain is designed by solving a convex optimization problem. Notice that the involved convex optimization problem can be easily solved by standard software packages because the constraints can be transformed into linear matrix inequalities. It is also shown that the designed distributed estimator is scalable for adding or subtracting subsystems. Finally, an illustrative example of a three-tank interconnected system is employed to show the effectiveness of the proposed methods. © 2024 IEEE.

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KW - Couplings

KW - distributed estimation

KW - distributed stability condition

KW - Estimation

KW - Interconnected systems

KW - optimal estimator

KW - Optimization

KW - Stability analysis

KW - Time-varying interconnected system

KW - Time-varying systems

KW - Vectors

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EP - 3677

JO - IEEE Transactions on Network Science and Engineering

JF - IEEE Transactions on Network Science and Engineering

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ER -

Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures

Abstract

Funding

Research Keywords

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GRF: Distributed Mirror Descent Algorithm over Multi-agent Networks with Imperfect Communication

GRF: Distributed Optimization over Multi-agent Networks

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Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures

Abstract

Funding

Research Keywords

Publisher's Copyright Statement

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GRF: Distributed Mirror Descent Algorithm over Multi-agent Networks with Imperfect Communication

GRF: Distributed Optimization over Multi-agent Networks

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