Model comparison and simplification

Lennart Andersson, Carolyn Beck

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper we study the comparison and simplification of models given as Linear Fractional Transformations (LFTs) on structured operator sets. Previous simplification results have generalized 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 generalization of both balanced truncation and singular perturbation approximation in a single reduction algorithm.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
Pages3958-3963
Number of pages6
StatePublished - 1996
Externally publishedYes
EventProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn
Duration: Dec 11 1996Dec 13 1996

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume4
ISSN (Print)0191-2216

Other

OtherProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
CityKobe, Jpn
Period12/11/9612/13/96

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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