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H-infinity optimal control for infinite-dimensional systems with strictly negative generator

Lidström, Carolina LU ; Rantzer, Anders LU and Morris, Kirsten (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:
author
; and
organization
publishing date
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
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
2021-01-06 05:19:44
@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},
  language     = {eng},
  month        = {12},
  pages        = {5275--5280},
  publisher    = {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/ws/files/19898919/CDC2016LidstromRantzerMorris.pdf},
  doi          = {10.1109/CDC.2016.7799077},
  year         = {2016},
}