Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures

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

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

33 Downloads (CityUHK Scholars)

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 languageEnglish
Pages (from-to)3667-3677
JournalIEEE Transactions on Network Science and Engineering
Volume11
Issue number4
Online published28 Mar 2024
DOIs
Publication statusPublished - 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

Fingerprint

Dive into the research topics of 'Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures'. Together they form a unique fingerprint.

Cite this