A Consistency Constraint-Based Approach to Coupled State Constraints in Distributed Model Predictive Control

Fuente: arXiv
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Main Authors: Wiltz, Adrian, Chen, Fei, Dimarogonas, Dimos V.
Format: Preprint
Published: 2022
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author Wiltz, Adrian
Chen, Fei
Dimarogonas, Dimos V.
author_facet Wiltz, Adrian
Chen, Fei
Dimarogonas, Dimos V.
contents In this paper, we present a distributed model predictive control (DMPC) scheme for dynamically decoupled systems which are subject to state constraints, coupling state constraints and input constraints. In the proposed control scheme, neighbor-to-neighbor communication suffices and all subsystems solve their local optimization problem in parallel. The approach relies on consistency constraints which define a neighborhood around each subsystem's reference trajectory where the state of the respective subsystem is guaranteed to stay in. Reference trajectories and consistency constraints are known to neighboring subsystems. Contrary to other relevant approaches, the reference trajectories are improved iteratively. Besides, the presented approach allows the formulation of convex optimization problems even in the presence of non-convex state constraints. The algorithm's effectiveness is demonstrated with a simulation.
format Preprint
id arxiv_https___arxiv_org_abs_2208_11439
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A Consistency Constraint-Based Approach to Coupled State Constraints in Distributed Model Predictive Control
Wiltz, Adrian
Chen, Fei
Dimarogonas, Dimos V.
Systems and Control
Multiagent Systems
In this paper, we present a distributed model predictive control (DMPC) scheme for dynamically decoupled systems which are subject to state constraints, coupling state constraints and input constraints. In the proposed control scheme, neighbor-to-neighbor communication suffices and all subsystems solve their local optimization problem in parallel. The approach relies on consistency constraints which define a neighborhood around each subsystem's reference trajectory where the state of the respective subsystem is guaranteed to stay in. Reference trajectories and consistency constraints are known to neighboring subsystems. Contrary to other relevant approaches, the reference trajectories are improved iteratively. Besides, the presented approach allows the formulation of convex optimization problems even in the presence of non-convex state constraints. The algorithm's effectiveness is demonstrated with a simulation.
title A Consistency Constraint-Based Approach to Coupled State Constraints in Distributed Model Predictive Control
topic Systems and Control
Multiagent Systems
url https://arxiv.org/abs/2208.11439