Cooperative Distributed MPC via Decentralized Real-Time Optimization: Implementation Results for Robot Formations

Fuente: arXiv
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Autores principales: Stomberg, Gösta, Ebel, Henrik, Faulwasser, Timm, Eberhard, Peter
Formato: Preprint
Publicado: 2023
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author Stomberg, Gösta
Ebel, Henrik
Faulwasser, Timm
Eberhard, Peter
author_facet Stomberg, Gösta
Ebel, Henrik
Faulwasser, Timm
Eberhard, Peter
contents Distributed model predictive control (DMPC) is a flexible and scalable feedback control method applicable to a wide range of systems. While the stability analysis of DMPC is quite well understood, there exist only limited implementation results for realistic applications involving distributed computation and networked communication. This article approaches formation control of mobile robots via a cooperative DMPC scheme. We discuss the implementation via decentralized optimization algorithms. To this end, we combine the alternating direction method of multipliers with decentralized sequential quadratic programming to solve the underlying optimal control problem in a decentralized fashion with nominal convergence guarantees. Our approach only requires coupled subsystems to communicate and does not rely on a central coordinator. Our experimental results showcase the efficacy of DMPC for formation control and they demonstrate the real-time feasibility of the considered algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2301_07960
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Cooperative Distributed MPC via Decentralized Real-Time Optimization: Implementation Results for Robot Formations
Stomberg, Gösta
Ebel, Henrik
Faulwasser, Timm
Eberhard, Peter
Systems and Control
Robotics
Distributed model predictive control (DMPC) is a flexible and scalable feedback control method applicable to a wide range of systems. While the stability analysis of DMPC is quite well understood, there exist only limited implementation results for realistic applications involving distributed computation and networked communication. This article approaches formation control of mobile robots via a cooperative DMPC scheme. We discuss the implementation via decentralized optimization algorithms. To this end, we combine the alternating direction method of multipliers with decentralized sequential quadratic programming to solve the underlying optimal control problem in a decentralized fashion with nominal convergence guarantees. Our approach only requires coupled subsystems to communicate and does not rely on a central coordinator. Our experimental results showcase the efficacy of DMPC for formation control and they demonstrate the real-time feasibility of the considered algorithms.
title Cooperative Distributed MPC via Decentralized Real-Time Optimization: Implementation Results for Robot Formations
topic Systems and Control
Robotics
url https://arxiv.org/abs/2301.07960