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Structure Preserving H-infinity Optimal PI Control

Rantzer, Anders LU ; Lidström, Carolina LU and Pates, Richard LU (2017) In IFAC-PapersOnLine 50(1). p.2573-2576
Abstract

A multi-variable PI (proportional integrating) controller is proved to be optimal for an important class of control problems where performance is specified in terms of frequency weighted H-infinity norms. The problem class includes networked systems with a subsystem in each node and control action along each edge. For such systems, the optimal PI controller is decentralized in the sense that control action along a given network edge is entirely determined by states at nodes connected by that edge.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
decentralized control, Distributed control, linear systems, robust control
in
IFAC-PapersOnLine
volume
50
issue
1
pages
4 pages
publisher
IFAC Secretariat
external identifiers
  • scopus:85031797974
ISSN
2405-8963
DOI
10.1016/j.ifacol.2017.08.099
project
Distributed Control and Verification
language
English
LU publication?
yes
id
f925152c-2a97-40a7-a81b-aee8cecb2b2b
date added to LUP
2017-10-31 07:51:31
date last changed
2020-12-08 01:57:31
@article{f925152c-2a97-40a7-a81b-aee8cecb2b2b,
  abstract     = {<p>A multi-variable PI (proportional integrating) controller is proved to be optimal for an important class of control problems where performance is specified in terms of frequency weighted H-infinity norms. The problem class includes networked systems with a subsystem in each node and control action along each edge. For such systems, the optimal PI controller is decentralized in the sense that control action along a given network edge is entirely determined by states at nodes connected by that edge.</p>},
  author       = {Rantzer, Anders and Lidström, Carolina and Pates, Richard},
  issn         = {2405-8963},
  language     = {eng},
  month        = {07},
  number       = {1},
  pages        = {2573--2576},
  publisher    = {IFAC Secretariat},
  series       = {IFAC-PapersOnLine},
  title        = {Structure Preserving H-infinity Optimal PI Control},
  url          = {http://dx.doi.org/10.1016/j.ifacol.2017.08.099},
  doi          = {10.1016/j.ifacol.2017.08.099},
  volume       = {50},
  year         = {2017},
}