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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 In 2017 IEEE 56th 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
in
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
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
2018-05-29 10:38:08
@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},
  booktitle    = {2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017},
  isbn         = {9781509028733},
  language     = {eng},
  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},
}