H-infinity Optimal Control for Systems with a Bottleneck Frequency
(2020) In IEEE Transactions on Automatic Control- Abstract
We characterize a class of systems for which the H-infinity optimal control problem can be simplified in a way that enables sparse solutions and efficient computation. For a subclass of the systems, an optimal controller can be explicitly expressed in terms of the matrices of the system's state-space representation. In many applications, the controller given by this formula, which is static, can be implemented in a decentralized or distributed fashion. Examples are temperature dynamics in buildings, water irrigation and electrical networks.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/11501763-79f8-42ed-abf5-ab19203bab1d
- author
- Bergeling, Carolina LU ; Pates, Richard LU and Rantzer, Anders LU
- organization
- publishing date
- 2020-07-20
- type
- Contribution to journal
- publication status
- epub
- subject
- keywords
- Buildings, Distributed control, Frequency control, Frequency synthesizers, H infinity control, Large-scale systems, Linear systems, Network analysis and Control, Optimal control, Sparse matrices
- in
- IEEE Transactions on Automatic Control
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85089288121
- ISSN
- 0018-9286
- DOI
- 10.1109/TAC.2020.3010263
- language
- English
- LU publication?
- yes
- id
- 11501763-79f8-42ed-abf5-ab19203bab1d
- date added to LUP
- 2020-08-19 09:57:34
- date last changed
- 2020-08-26 05:18:16
@article{11501763-79f8-42ed-abf5-ab19203bab1d, abstract = {<p>We characterize a class of systems for which the H-infinity optimal control problem can be simplified in a way that enables sparse solutions and efficient computation. For a subclass of the systems, an optimal controller can be explicitly expressed in terms of the matrices of the system&#x0027;s state-space representation. In many applications, the controller given by this formula, which is static, can be implemented in a decentralized or distributed fashion. Examples are temperature dynamics in buildings, water irrigation and electrical networks.</p>}, author = {Bergeling, Carolina and Pates, Richard and Rantzer, Anders}, issn = {0018-9286}, language = {eng}, month = {07}, publisher = {IEEE - Institute of Electrical and Electronics Engineers Inc.}, series = {IEEE Transactions on Automatic Control}, title = {H-infinity Optimal Control for Systems with a Bottleneck Frequency}, url = {http://dx.doi.org/10.1109/TAC.2020.3010263}, doi = {10.1109/TAC.2020.3010263}, year = {2020}, }