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The paper presents a distributed model predictive control (DMPC) scheme for continuous-time nonlinear systems based on the alternating direction method of multipliers (ADMM). A stopping criterion in the ADMM algorithm limits the iterations…

Optimization and Control · Mathematics 2017-06-30 Anja Bestler , Knut Graichen

In this paper, we propose a communication- and computation-efficient algorithm to solve a convex consensus optimization problem defined over a decentralized network. A remarkable existing algorithm to solve this problem is the alternating…

Optimization and Control · Mathematics 2020-04-09 Weiyu Li , Yaohua Liu , Zhi Tian , Qing Ling

Distributed allocation finds applications in many scenarios including CPU scheduling, distributed energy resource management, and networked coverage control. In this paper, we propose a fast convergent optimization algorithm with a tunable…

Signal Processing · Electrical Eng. & Systems 2024-01-30 Mohammadreza Doostmohammadian , Alireza Aghasi

This paper presents a distributed optimization algorithm tailored for solving optimal control problems arising in multi-building coordination. The buildings coordinated by a grid operator, join a demand response program to balance the…

Optimization and Control · Mathematics 2021-01-14 Junyan Su , Yuning Jiang , Altug Bitlislioglu , Colin N. Jones , Boris Houska

We consider the problem of minimizing block-separable convex functions subject to linear constraints. While the Alternating Direction Method of Multipliers (ADMM) for two-block linear constraints has been intensively studied both…

Optimization and Control · Mathematics 2014-09-15 Huahua Wang , Arindam Banerjee , Zhi-Quan Luo

Nonconvex and structured optimization problems arise in many engineering applications that demand scalable and distributed solution methods. The study of the convergence properties of these methods is in general difficult due to the…

Optimization and Control · Mathematics 2015-05-04 Sindri Magnússon , Pradeep Chathuranga Weeraddana , Michael G. Rabbat , Carlo Fischione

In this paper, the elliptic PDE-constrained optimization problem with box constraints on the control is studied. To numerically solve the problem, we apply the 'optimize-discretize-optimize' strategy. Specifically, the alternating direction…

Optimization and Control · Mathematics 2019-08-14 Xiaotong Chen , Xiaoliang Song , Zixuan Chen , Bo Yu

In this paper, we consider a network of agents that jointly aim to minimise the sum of local functions subject to coupling constraints involving all local variables. To solve this problem, we propose a novel solution based on a primal-dual…

Optimization and Control · Mathematics 2025-02-11 Mohamed Abdelmouamin Messilem , Guido Carnevale , Ruggero Carli

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Recently, a number of learning-based optimization methods that combine data-driven architectures with the classical optimization algorithms have been proposed and explored, showing superior empirical performance in solving various ill-posed…

Machine Learning · Computer Science 2019-05-16 Xingyu Xie , Jianlong Wu , Zhisheng Zhong , Guangcan Liu , Zhouchen Lin

The recent deployment of multi-agent networks has enabled the distributed solution of learning problems, where agents cooperate to train a global model without sharing their local, private data. This work specifically targets some prevalent…

Optimization and Control · Mathematics 2024-08-20 Nicola Bastianello , Diego Deplano , Mauro Franceschelli , Karl H. Johansson

This paper addresses the challenge of coordinating multi-robot systems under realistic communication delays using distributed optimization. We focus on consensus ADMM as a scalable framework for generating collision-free, dynamically…

This paper introduces a dual-regularized ADMM approach to distributed, time-varying optimization. The proposed algorithm is designed in a prediction-correction framework, in which the computing nodes predict the future local costs based on…

Optimization and Control · Mathematics 2024-05-07 Nicola Bastianello , Andrea Simonetto , Ruggero Carli

Electric power distribution systems will encounter fluctuations in supply due to the introduction of renewable sources with high variability in generation capacity. It is therefore necessary to provide algorithms that are capable of…

Optimization and Control · Mathematics 2018-05-07 Marie Maros , Joakim Jaldén

We consider the problem of decentralized composite optimization over a symmetric connected graph, in which each node holds its own agent-specific private convex functions, and communications are only allowed between nodes with direct links.…

Optimization and Control · Mathematics 2018-09-06 Bin Wang , Jun Fang , Huiping Duan , Hongbin Li

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization problems. Basically, the method allows its first subproblem…

Optimization and Control · Mathematics 2020-06-05 Vando A. Adona , Max L. N. Gonçalves

In this work, we consider solving a distributed optimization problem in a multi-agent network with multiple clusters. In each cluster, the involved agents cooperatively optimize a separable composite function with a common decision…

Optimization and Control · Mathematics 2022-03-03 Jianzheng Wang , Guoqiang Hu

The alternating direction method of multipliers (ADMM) proposed by Glowinski and Marrocco is a benchmark algorithm for two-block separable convex optimization problems with linear equality constraints. It has been modified, specified, and…

Optimization and Control · Mathematics 2021-07-15 Bingsheng He , Shengjie Xu , Xiaoming Yuan

Distributed machine learning has been widely studied in order to handle exploding amount of data. In this paper, we study an important yet less visited distributed learning problem where features are inherently distributed or vertically…

Machine Learning · Computer Science 2019-07-19 Yaochen Hu , Peng Liu , Linglong Kong , Di Niu

This paper discusses the adaptive sampling problem in a nonholonomic mobile robotic sensor network for efficiently monitoring a spatial field. It is proposed to employ Gaussian process to model a spatial phenomenon and predict it at…

Robotics · Computer Science 2021-03-23 Viet-Anh Le , Linh Nguyen , Truong X. Nghiem