L1 and H-infinity optimal control of positive bilinear systems
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/ae0df596-8702-4ba7-8a06-c602d4c69761
- author
- Zorzan, Irene
LU
and Rantzer, Anders
LU
- organization
- publishing date
- 2018-01-18
- 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
- IEEE - 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
- 2023-10-20 04:37:51
@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 = {{IEEE - 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}}, doi = {{10.1109/CDC.2017.8263746}}, volume = {{2018-January}}, year = {{2018}}, }