H-infinity optimal control for infinite-dimensional systems with strictly negative generator
(2016) 55th IEEE Conference on Decision and Control 2016 p.5275-5280- Abstract
A simple form for the optimal H-infinity state feedback of linear time-invariant infinite-dimensional systems is derived. It is applicable to systems with bounded input and output operators and a closed, densely defined, self-adjoint and strictly negative state operator. However, unlike other state-space algorithms, the optimal control is calculated in one step. Furthermore, a closed-form expression for the L2-gain of the closed-loop system is obtained. The result is an extension of the finite-dimensional case, derived by the first two authors. Examples demonstrate the simplicity of synthesis as well as the performance of the control law.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/eabce346-0cfb-4d11-8b10-8a5edb3fd280
- author
- Lidström, Carolina LU ; Rantzer, Anders LU and Morris, Kirsten
- organization
- publishing date
- 2016-12-27
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Infinite dimensional systems, Linear systems, H-infinity control
- host publication
- 2016 IEEE 55th Conference on Decision and Control, CDC 2016
- article number
- 7799077
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 55th IEEE Conference on Decision and Control 2016
- conference location
- Las Vegas, NV, United States
- conference dates
- 2016-09-12 - 2016-09-14
- external identifiers
-
- scopus:85010756910
- ISBN
- 978-1-5090-1837-6
- 978-1-5090-1838-3
- DOI
- 10.1109/CDC.2016.7799077
- language
- English
- LU publication?
- yes
- id
- eabce346-0cfb-4d11-8b10-8a5edb3fd280
- date added to LUP
- 2017-01-16 13:47:52
- date last changed
- 2024-06-28 23:30:59
@inproceedings{eabce346-0cfb-4d11-8b10-8a5edb3fd280, abstract = {{<p>A simple form for the optimal H-infinity state feedback of linear time-invariant infinite-dimensional systems is derived. It is applicable to systems with bounded input and output operators and a closed, densely defined, self-adjoint and strictly negative state operator. However, unlike other state-space algorithms, the optimal control is calculated in one step. Furthermore, a closed-form expression for the L2-gain of the closed-loop system is obtained. The result is an extension of the finite-dimensional case, derived by the first two authors. Examples demonstrate the simplicity of synthesis as well as the performance of the control law.</p>}}, author = {{Lidström, Carolina and Rantzer, Anders and Morris, Kirsten}}, booktitle = {{2016 IEEE 55th Conference on Decision and Control, CDC 2016}}, isbn = {{978-1-5090-1837-6}}, keywords = {{Infinite dimensional systems; Linear systems; H-infinity control}}, language = {{eng}}, month = {{12}}, pages = {{5275--5280}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{H-infinity optimal control for infinite-dimensional systems with strictly negative generator}}, url = {{https://lup.lub.lu.se/search/files/19898919/CDC2016LidstromRantzerMorris.pdf}}, doi = {{10.1109/CDC.2016.7799077}}, year = {{2016}}, }