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L1 and H-infinity optimal control of positive bilinear systems

Zorzan, Irene LU and Rantzer, Anders LU (2018) 56th IEEE Annual Conference on Decision and Control, CDC 2017 2018-January. p.727-732
Abstract

In this paper we consider L1 optimal and H-infinity optimal control problems for a particular class of Positive Bilinear Systems that arise in drug dosage design for HIV treatment. Starting from existent characterizations of the L1-norm for positive systems, a convex formulation for the first problem is provided. As for the H-infinity case, we propose an algorithm based on the iterative solution of a convex feasibility problem, that approximates an H-infinity optimal controller with arbitrary accuracy. A numerical example illustrates the results.

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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
volume
2018-January
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
56th IEEE Annual Conference on Decision and Control, CDC 2017
conference location
Melbourne, Australia
conference dates
2017-12-12 - 2017-12-15
external identifiers
  • scopus:85046119304
ISBN
9781509028733
DOI
10.1109/CDC.2017.8263746
language
English
LU publication?
yes
id
ae0df596-8702-4ba7-8a06-c602d4c69761
date added to LUP
2018-05-15 14:05:46
date last changed
2019-01-06 13:54:14
@inproceedings{ae0df596-8702-4ba7-8a06-c602d4c69761,
  abstract     = {<p>In this paper we consider L1 optimal and H-infinity optimal control problems for a particular class of Positive Bilinear Systems that arise in drug dosage design for HIV treatment. Starting from existent characterizations of the L1-norm for positive systems, a convex formulation for the first problem is provided. As for the H-infinity case, we propose an algorithm based on the iterative solution of a convex feasibility problem, that approximates an H-infinity optimal controller with arbitrary accuracy. A numerical example illustrates the results.</p>},
  author       = {Zorzan, Irene and Rantzer, Anders},
  isbn         = {9781509028733},
  language     = {eng},
  location     = {Melbourne, Australia},
  month        = {01},
  pages        = {727--732},
  publisher    = {Institute of Electrical and Electronics Engineers Inc.},
  title        = {L1 and H-infinity optimal control of positive bilinear systems},
  url          = {http://dx.doi.org/10.1109/CDC.2017.8263746},
  volume       = {2018-January},
  year         = {2018},
}