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Closed-loop design for scalable performance of vehicular formations

Hansson, Jonas LU orcid and Tegling, Emma LU (2025) In IEEE Transactions on Control of Network Systems
Abstract
This paper presents a novel control design for vehicular formations as an alternative to alignment through conventional consensus protocols for second-order systems. The design is motivated by the closed-loop system, which we construct as first-order systems connected in series, and is therefore called serial consensus. The serial consensus design will guarantee the stability of the closed-loop system under the minimum requirement of the underlying communication graph containing a directed spanning tree—which is not generally true for conventional consensus. As our main result, we show that the serial consensus design gives bounds on the worst-case transient behavior of the formation, which is independent of the number of vehicles and the... (More)
This paper presents a novel control design for vehicular formations as an alternative to alignment through conventional consensus protocols for second-order systems. The design is motivated by the closed-loop system, which we construct as first-order systems connected in series, and is therefore called serial consensus. The serial consensus design will guarantee the stability of the closed-loop system under the minimum requirement of the underlying communication graph containing a directed spanning tree—which is not generally true for conventional consensus. As our main result, we show that the serial consensus design gives bounds on the worst-case transient behavior of the formation, which is independent of the number of vehicles and the underlying graph structure. In particular, this shows that the serial consensus design guarantees string stability of the formation and is, therefore, suitable for directed formations and communication topologies. We show that serial consensus can be implemented through message passing or measurements to neighbors at most two hops away. We illustrate our results through numerical examples. (Less)
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
epub
subject
in
IEEE Transactions on Control of Network Systems
pages
10 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85214533640
ISSN
2325-5870
project
Performance, Controllability, and Robustness of Large-Scale and Non-Normal Network Systems
language
English
LU publication?
yes
id
e3a8cbd5-7f56-45d6-9a7a-71ceea7565fa
alternative location
https://arxiv.org/pdf/2402.15208
https://ieeexplore.ieee.org/document/10830290
date added to LUP
2024-12-13 09:06:50
date last changed
2025-04-21 14:28:53
@article{e3a8cbd5-7f56-45d6-9a7a-71ceea7565fa,
  abstract     = {{This paper presents a novel control design for vehicular formations as an alternative to alignment through conventional consensus protocols for second-order systems. The design is motivated by the closed-loop system, which we construct as first-order systems connected in series, and is therefore called serial consensus. The serial consensus design will guarantee the stability of the closed-loop system under the minimum requirement of the underlying communication graph containing a directed spanning tree—which is not generally true for conventional consensus. As our main result, we show that the serial consensus design gives bounds on the worst-case transient behavior of the formation, which is independent of the number of vehicles and the underlying graph structure. In particular, this shows that the serial consensus design guarantees string stability of the formation and is, therefore, suitable for directed formations and communication topologies. We show that serial consensus can be implemented through message passing or measurements to neighbors at most two hops away. We illustrate our results through numerical examples.}},
  author       = {{Hansson, Jonas and Tegling, Emma}},
  issn         = {{2325-5870}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Control of Network Systems}},
  title        = {{Closed-loop design for scalable performance of vehicular formations}},
  url          = {{https://arxiv.org/pdf/2402.15208}},
  year         = {{2025}},
}