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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 In 2016 IEEE 55th Conference on Decision and Control, CDC 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.

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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Infinite dimensional systems, Linear systems, H-infinity control
in
2016 IEEE 55th Conference on Decision and Control, CDC 2016
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
55th IEEE Conference on Decision and Control 2016
external identifiers
  • scopus:85010756910
ISBN
978-1-5090-1838-3
978-1-5090-1837-6
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
2017-09-24 05:05:55
@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         = {978-1-5090-1838-3},
  keyword      = {Infinite dimensional systems,Linear systems,H-infinity control},
  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          = {http://dx.doi.org/10.1109/CDC.2016.7799077},
  year         = {2016},
}