Hierarchical Distributed Model Predictive Control based on Dual Decomposition and Quadratic Approximation

V Yfantis, N Gafur, A Wagner… - … Conference on Control …, 2022 - ieeexplore.ieee.org
This paper presents a dual decomposition-based distributed optimization algorithm and
applies it to distributed model predictive control (DMPC) problems. The considered DMPC …

On feasibility, stability and performance in distributed model predictive control

P Giselsson, A Rantzer - IEEE Transactions on Automatic …, 2013 - ieeexplore.ieee.org
In distributed model predictive control (DMPC), where a centralized optimization problem is
solved in distributed fashion using dual decomposition, it is important to keep the number of …

A fast dual gradient algorithm for distributed model predictive control with coupled constraints

Z Wang, CJ Ong - 2017 IEEE 56th Annual Conference on …, 2017 - ieeexplore.ieee.org
This paper proposes a DMPC approach for a family of discrete-time linear systems with local
(uncoupled) and global (coupled) constraints. The proposed approach is based on the dual …

Computational aspects of distributed optimization in model predictive control

C Conte, T Summers, MN Zeilinger… - 2012 IEEE 51st IEEE …, 2012 - ieeexplore.ieee.org
This paper presents a systematic computational study on the performance of distributed
optimization in model predictive control (MPC). We consider networks of dynamically …

Distributed MPC with parametric coordination

P Trnka, V Havlena, J Pekar - 2016 American Control …, 2016 - ieeexplore.ieee.org
The paper presents an effective coordination scheme for a distributed optimization based on
dual decomposition. The targeted class of optimization problems are strictly convex …

Application of the proximal center decomposition method to distributed model predictive control

I Necoara, D Doan, JAK Suykens - 2008 47th IEEE Conference …, 2008 - ieeexplore.ieee.org
In this paper we present a dual-based decomposition method, called here the proximal
center method, to solve distributed model predictive control (MPC) problems for coupled …

A jacobi decomposition algorithm for distributed convex optimization in distributed model predictive control

MD Doan, M Diehl, T Keviczky, B De Schutter - IFAC-PapersOnLine, 2017 - Elsevier
In this paper we introduce an iterative distributed Jacobi algorithm for solving convex
optimization problems, which is motivated by distributed model predictive control (MPC) for …

ϵ Suboptimality Based Early Stop in Dual Decomposition for Model Predictive Control

X Dai, R Bourdais, H Guéguen - 2020 - hal.science
Dual decomposition is an efficient tool in dealing with Model Predictive Control (MPC)
problems, particularly for distributed MPC. In this paper, we propose to limit the iteration …

Dynamic Reduction of the Iterations Requirement in a Distributed Model Predictive Control

X Dai, R Bourdais, H Guéguen - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
In this paper, we propose to reduce the number of iterations required in the implementation
of distributed Model Predictive Control (dMPC) based on dual decomposition. To this aim, a …

Distributed MPC via dual decomposition and alternative direction method of multipliers

F Farokhi, I Shames, KH Johansson - Distributed model predictive control …, 2013 - Springer
A conventional way to handle model predictive control (MPC) problems distributedly is to
solve them via dual decomposition and gradient ascent. However, at each time-step, it might …