License:
Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.SynCoP.2015.33
URN: urn:nbn:de:0030-drops-56089
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5608/
Le Coënt, Adrien ;
de Vuyst, Florian ;
Rey, Christian ;
Chamoin, Ludovic ;
Fribourg, Laurent
Guaranteed control of switched control systems using model order reduction and state-space bisection
Abstract
This paper considers discrete-time linear systems controlled
by a quantized law, i.e., a piecewise constant time function taking
a finite set of values. We show how to generate the control by,
first, applying model reduction to the original system, then using a "state-space bisection" method for synthesizing a control at the reduced-order level, and finally computing an upper bound to the
deviations between the controlled output trajectories of the reduced-order model and those of the original model. The effectiveness of our approach is illustrated on several examples of the literature.
BibTeX - Entry
@InProceedings{lecont_et_al:OASIcs:2015:5608,
author = {Adrien Le Co{\"e}nt and Florian de Vuyst and Christian Rey and Ludovic Chamoin and Laurent Fribourg},
title = {{Guaranteed control of switched control systems using model order reduction and state-space bisection}},
booktitle = {2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
pages = {33--47},
series = {OpenAccess Series in Informatics (OASIcs)},
ISBN = {978-3-939897-82-8},
ISSN = {2190-6807},
year = {2015},
volume = {44},
editor = {{\'E}tienne Andr{\'e} and Goran Frehse},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2015/5608},
URN = {urn:nbn:de:0030-drops-56089},
doi = {10.4230/OASIcs.SynCoP.2015.33},
annote = {Keywords: Model Order Reduction, guaranteed control, stability control, reachability control, error bounding}
}
Keywords: |
|
Model Order Reduction, guaranteed control, stability control, reachability control, error bounding |
Collection: |
|
2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15) |
Issue Date: |
|
2015 |
Date of publication: |
|
03.12.2015 |