Model comparison and simplification

Author

Andersson, Lars ; Beck, Christopher

Author_Institution

Dept. of Autom. Control, Lund Inst. of Technol.

Volume

4

fYear

1996

fDate

11-13 Dec 1996

Firstpage

3958

Abstract

In this paper we study the comparison and simplification of models given as linear fractional transformations on structured operator sets. Previous simplification results have generalised the method of balanced truncation to such models, including the computation of error bounds, based on solutions to linear matrix inequalities (LMIs). In this paper we show that the previously obtained error bounds hold for a much larger class of simplification methods. These new results can be interpreted as providing a generalisation of both balanced truncation and singular perturbation approximation in a single reduction algorithm

Keywords

discrete time systems; modelling; reduced order systems; stability; state-space methods; transfer function matrices; uncertain systems; balanced truncation; discrete time systems; error bounds; integral quadratic constraint; linear fractional transformations; model simplification; order reduction; singular perturbation approximation; stability; state space model; transfer function matrix; uncertain models; Approximation algorithms; Approximation methods; Control design; Councils; Delay; Linear matrix inequalities; Robust control; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.577315

Filename

577315