On the coherence of large-scale networks with distributed PI and PD control
(2017) In IEEE Control Systems Letters 1(1). p.170-175- Abstract
We consider distributed control of double-integrator networks, where agents are subject to stochastic disturbances. We study performance of such networks in terms of coherence, defined through an H2 norm metric that represents the variance of nodal state fluctuations. Specifically, we address known performance limitations of the standard consensus protocol, which cause this variance to scale unboundedly with network size for a large class of networks. We propose distributed proportional integral and proportional derivative controllers that relax these limitations and achieve bounded variance, in cases where agents can access an absolute measurement of one of their states. This case applies to, for example, frequency control... (More)
We consider distributed control of double-integrator networks, where agents are subject to stochastic disturbances. We study performance of such networks in terms of coherence, defined through an H2 norm metric that represents the variance of nodal state fluctuations. Specifically, we address known performance limitations of the standard consensus protocol, which cause this variance to scale unboundedly with network size for a large class of networks. We propose distributed proportional integral and proportional derivative controllers that relax these limitations and achieve bounded variance, in cases where agents can access an absolute measurement of one of their states. This case applies to, for example, frequency control of power networks and vehicular formation control with limited sensing. We discuss optimal tuning of the controllers with respect to network coherence and demonstrate our results in simulations.
(Less)
- author
- Tegling, Emma LU and Sandberg, Henrik LU
- publishing date
- 2017-07
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- large-scale systems, Networked control systems
- in
- IEEE Control Systems Letters
- volume
- 1
- issue
- 1
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85052593046
- ISSN
- 2475-1456
- DOI
- 10.1109/LCSYS.2017.2711781
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2017 IEEE.
- id
- 1e57f7f9-58ca-4cb1-99b9-b6ade93fcda0
- date added to LUP
- 2021-11-24 09:55:34
- date last changed
- 2022-04-19 18:22:50
@article{1e57f7f9-58ca-4cb1-99b9-b6ade93fcda0,
abstract = {{<p>We consider distributed control of double-integrator networks, where agents are subject to stochastic disturbances. We study performance of such networks in terms of coherence, defined through an H<sub>2</sub> norm metric that represents the variance of nodal state fluctuations. Specifically, we address known performance limitations of the standard consensus protocol, which cause this variance to scale unboundedly with network size for a large class of networks. We propose distributed proportional integral and proportional derivative controllers that relax these limitations and achieve bounded variance, in cases where agents can access an absolute measurement of one of their states. This case applies to, for example, frequency control of power networks and vehicular formation control with limited sensing. We discuss optimal tuning of the controllers with respect to network coherence and demonstrate our results in simulations.</p>}},
author = {{Tegling, Emma and Sandberg, Henrik}},
issn = {{2475-1456}},
keywords = {{large-scale systems; Networked control systems}},
language = {{eng}},
number = {{1}},
pages = {{170--175}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Control Systems Letters}},
title = {{On the coherence of large-scale networks with distributed PI and PD control}},
url = {{http://dx.doi.org/10.1109/LCSYS.2017.2711781}},
doi = {{10.1109/LCSYS.2017.2711781}},
volume = {{1}},
year = {{2017}},
}