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On the H2 optimal control of uniformly damped mass-spring networks

Lindberg, Johan LU and Pates, Richard LU (2024) 2024 European Control Conference, ECC 2024 p.1528-1533
Abstract

In this paper we provide an analytical solution to an H2 optimal control problem, that applies whenever the process corresponds to a uniformly damped network of masses and springs. The solution covers both stable and unstable systems, and illustrates analytically how damping affects the levels of achievable performance. Furthermore, the resulting optimal controllers can be synthesised using passive damped mass-spring networks, allowing for controller implementations without an energy source. We investigate the impact of both positive and negative damping through a small numerical example.

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author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2024 European Control Conference, ECC 2024
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
2024 European Control Conference, ECC 2024
conference location
Stockholm, Sweden
conference dates
2024-06-25 - 2024-06-28
external identifiers
  • scopus:85200543734
ISBN
9783907144107
DOI
10.23919/ECC64448.2024.10591220
project
Scalable control for Electrical Power Systems
language
English
LU publication?
yes
id
8bb5d4ce-fef8-4bde-8e5c-71409eba7254
date added to LUP
2024-11-11 10:08:59
date last changed
2025-04-04 14:59:20
@inproceedings{8bb5d4ce-fef8-4bde-8e5c-71409eba7254,
  abstract     = {{<p>In this paper we provide an analytical solution to an H<sub>2</sub> optimal control problem, that applies whenever the process corresponds to a uniformly damped network of masses and springs. The solution covers both stable and unstable systems, and illustrates analytically how damping affects the levels of achievable performance. Furthermore, the resulting optimal controllers can be synthesised using passive damped mass-spring networks, allowing for controller implementations without an energy source. We investigate the impact of both positive and negative damping through a small numerical example.</p>}},
  author       = {{Lindberg, Johan and Pates, Richard}},
  booktitle    = {{2024 European Control Conference, ECC 2024}},
  isbn         = {{9783907144107}},
  language     = {{eng}},
  pages        = {{1528--1533}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{On the H<sub>2</sub> optimal control of uniformly damped mass-spring networks}},
  url          = {{http://dx.doi.org/10.23919/ECC64448.2024.10591220}},
  doi          = {{10.23919/ECC64448.2024.10591220}},
  year         = {{2024}},
}