Publication detail
UNCERTAIN MODELING OF MECHATRONIC SYSTEMS
BŘEZINA, L. BŘEZINA, T.
Czech title
Neurčitostní modelování mechatronických soustav
English title
UNCERTAIN MODELING OF MECHATRONIC SYSTEMS
Type
conference paper
Language
en
Original abstract
The paper proposes an approach to modeling of systems with a parametric uncertainty. The approach is based on use of upper linear fractional transformation which is commonly used for the modeling of the uncertain systems. The main difference between the classical methods and the proposed one is that the proposed method describes the uncertainty as a difference between values of corresponding matrices elements of nominal and perturbed state-space model of the described system. This results into a general analytic description of the uncertain model which may be easily used for building of an uncertain model based on a nominal and perturbed state-space model of any system. The obtained uncertain model respects the form for a robust controller design. The approach is presented on simple mass-damper-spring system.
Czech abstract
Článek předkládá přístup k modelování soustav s parametrickou neurčitostí. Přístup je založen definici neurčitosti jako rozdílu hodnot stavovźch matic nominálního a perturbovaného modelu. Tímto způsobem je odvozena zcela obecná forma pro tvorbu neurčitostního modelu, která respektuje tvar pro návrh robustního regulátoru. Přístup je demonstrován na jednoduchém příkladu hmota – pružina – tlumič.
English abstract
The paper proposes an approach to modeling of systems with a parametric uncertainty. The approach is based on use of upper linear fractional transformation which is commonly used for the modeling of the uncertain systems. The main difference between the classical methods and the proposed one is that the proposed method describes the uncertainty as a difference between values of corresponding matrices elements of nominal and perturbed state-space model of the described system. This results into a general analytic description of the uncertain model which may be easily used for building of an uncertain model based on a nominal and perturbed state-space model of any system. The obtained uncertain model respects the form for a robust controller design. The approach is presented on simple mass-damper-spring system.
Keywords in Czech
Parametrická neurčitost, neurčitostní model, hmota – pružina – tlumič
Keywords in English
Parametric uncertainty, uncertain model, mass-damper-spring
RIV year
2011
Released
09.05.2011
Publisher
Institute of Thermomechanics - Academy of Sciences of the Czech Republic - Prague
Location
Prague
ISBN
978-80-87012-33-8
Book
Engineering mechanics 2011
Edition number
1
Pages from–to
67–70
Pages count
4
BIBTEX
@inproceedings{BUT75372,
author="Lukáš {Březina} and Tomáš {Březina},
title="UNCERTAIN MODELING OF MECHATRONIC SYSTEMS",
booktitle="Engineering mechanics 2011",
year="2011",
month="May",
pages="67--70",
publisher="Institute of Thermomechanics - Academy of Sciences of the Czech Republic - Prague",
address="Prague",
isbn="978-80-87012-33-8"
}