Optimizing Positively Dominated Systems
Rantzer, Anders LU
(2012)
51st IEEE Conference on Decision and Control, 2012
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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3625940
- author
- Rantzer, Anders
LU
- organization
- publishing date
- 2012
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- [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
- conference location
- Maui, Hawaii, United States
- conference dates
- 2012-12-10 - 2012-12-13
- 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
- 2016-04-01 14:10:51
- date last changed
- 2023-09-03 10:45:42
@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}},
url = {{https://lup.lub.lu.se/search/files/3829384/3625950.pdf}},
year = {{2012}},
}