Fundamental concordances between balanced truncation and activity-based model reduction

Hosam Kadry Fathy, J. L. Stein

Research output: Contribution to conferencePaper

6 Scopus citations

Abstract

This paper examines two model reduction algorithms: balanced truncation and the activity-based model order reduction algorithm, MORA. The former truncates linear system states based on their Hankel singular values. The latter applies to both linear and nonlinear systems and uses activity as the criterion for component elimination. Although their underlying principles are different, MORA and balanced truncation are shown to produce equivalent reduced models in two special cases. These concordances between balanced truncation and MORA both theoretically justify MORA and highlight the ways in which it generalizes balanced truncation. The concordances are demonstrated using two simple examples.

Original languageEnglish (US)
Pages109-116
Number of pages8
StatePublished - Jan 1 2005
EventInternational Conference on Integrated Modeling and Analysis in Applied Control and Automation, IMAACA 2005, Held at the International Mediterranean Modeling Multiconference, I3M 2005 - Marseille, France
Duration: Oct 20 2005Oct 22 2005

Other

OtherInternational Conference on Integrated Modeling and Analysis in Applied Control and Automation, IMAACA 2005, Held at the International Mediterranean Modeling Multiconference, I3M 2005
CountryFrance
CityMarseille
Period10/20/0510/22/05

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Control and Systems Engineering

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    Fathy, H. K., & Stein, J. L. (2005). Fundamental concordances between balanced truncation and activity-based model reduction. 109-116. Paper presented at International Conference on Integrated Modeling and Analysis in Applied Control and Automation, IMAACA 2005, Held at the International Mediterranean Modeling Multiconference, I3M 2005, Marseille, France.