Distributed Optimization under Edge Agreement with Application in Battery Network Management

Fuente: arXiv
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Hauptverfasser: Lu, Zehui, Mou, Shaoshuai
Format: Preprint
Veröffentlicht: 2024
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author Lu, Zehui
Mou, Shaoshuai
author_facet Lu, Zehui
Mou, Shaoshuai
contents This paper investigates a distributed optimization problem under edge agreements, where each agent in the network is also subject to local convex constraints. Generalized from the concept of consensus, a group of edge agreements represents the constraints defined for neighboring agents, with each pair of neighboring agents required to satisfy one edge agreement constraint. Edge agreements are defined locally to allow more flexibility than a global consensus, enabling heterogeneous coordination within the network. This paper proposes a discrete-time algorithm to solve such problems, providing a theoretical analysis to prove its convergence. Additionally, this paper illustrates the connection between the theory of distributed optimization under edge agreements and distributed model predictive control through a distributed battery network energy management problem. This approach enables a new perspective to formulate and solve network control and optimization problems.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00936
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Distributed Optimization under Edge Agreement with Application in Battery Network Management
Lu, Zehui
Mou, Shaoshuai
Optimization and Control
Systems and Control
This paper investigates a distributed optimization problem under edge agreements, where each agent in the network is also subject to local convex constraints. Generalized from the concept of consensus, a group of edge agreements represents the constraints defined for neighboring agents, with each pair of neighboring agents required to satisfy one edge agreement constraint. Edge agreements are defined locally to allow more flexibility than a global consensus, enabling heterogeneous coordination within the network. This paper proposes a discrete-time algorithm to solve such problems, providing a theoretical analysis to prove its convergence. Additionally, this paper illustrates the connection between the theory of distributed optimization under edge agreements and distributed model predictive control through a distributed battery network energy management problem. This approach enables a new perspective to formulate and solve network control and optimization problems.
title Distributed Optimization under Edge Agreement with Application in Battery Network Management
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2409.00936