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Optimizing Positively Dominated Systems

Rantzer, Anders LU (2012) 51st IEEE Conference on Decision and Control, 2012 In [Host publication title missing] p.272-277
Abstract
It has recently been shown that several classical open problems in linear system theory, such as optimization of decentralized output feedback controllers, can be readily solved for positive systems using linear programming. In particular, optimal solutions can be verified for large-scale systems using computations that scale linearly with the number of interconnections. Hence two fundamental advantages are achieved compared to classical methods for multivariable control: Distributed implementations and scalable computations. This paper extends these ideas to the class of positively dominated systems. The results are illustrated by computation of optimal spring constants for a network of point-masses connected by springs.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
[Host publication title missing]
pages
6 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
51st IEEE Conference on Decision and Control, 2012
external identifiers
  • wos:000327200400045
  • scopus:84874247896
ISSN
0191-2216
project
LCCC
language
English
LU publication?
yes
id
a26ca1ed-2460-4eef-9ccb-2bc32a43c4e3 (old id 3625940)
date added to LUP
2013-03-27 11:18:46
date last changed
2017-07-23 04:17:53
@inproceedings{a26ca1ed-2460-4eef-9ccb-2bc32a43c4e3,
  abstract     = {It has recently been shown that several classical open problems in linear system theory, such as optimization of decentralized output feedback controllers, can be readily solved for positive systems using linear programming. In particular, optimal solutions can be verified for large-scale systems using computations that scale linearly with the number of interconnections. Hence two fundamental advantages are achieved compared to classical methods for multivariable control: Distributed implementations and scalable computations. This paper extends these ideas to the class of positively dominated systems. The results are illustrated by computation of optimal spring constants for a network of point-masses connected by springs.},
  author       = {Rantzer, Anders},
  booktitle    = {[Host publication title missing]},
  issn         = {0191-2216},
  language     = {eng},
  pages        = {272--277},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Optimizing Positively Dominated Systems},
  year         = {2012},
}