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research article

Distributed Design for Decentralized Control using Chordal Decomposition and ADMM

Zheng, Yang
•
Kamgarpour, Maryam  
•
Sootla, Aivar
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June 2020
IEEE Transactions on Control of Network Systems

We propose a distributed design method for decentralized control by exploiting the underlying sparsity properties of the problem. Our method is based on chordal decomposition of sparse block matrices and the alternating direction method of multipliers (ADMM). We first apply a classical parameterization technique to restrict the optimal decentralized control into a convex problem that inherits the sparsity pattern of the original problem. The parameterization relies on a notion of strongly decentralized stabilization, and sufficient conditions are discussed to guarantee this notion. Then, chordal decomposition allows us to decompose the convex restriction into a problem with partially coupled constraints, and the framework of ADMM enables us to solve the decomposed problem in a distributed fashion. Consequently, the subsystems only need to share their model data with their direct neighbours, not needing a central computation. Numerical experiments demonstrate the effectiveness of the proposed method.

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Type
research article
DOI
10.1109/TCNS.2019.2935618
ArXiv ID

1709.00695

Author(s)
Zheng, Yang
•
Kamgarpour, Maryam  
•
Sootla, Aivar
•
Papachristodoulou, Antonis
Date Issued

2020-06

Published in
IEEE Transactions on Control of Network Systems
Volume

7

Issue

2

Start page

614

End page

626

Subjects

Mathematics - Optimization and Control

Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
SYCAMORE  
Available on Infoscience
December 1, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/183417
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