Realization-preserving structure and order reduction of nonlinear energetic system models using energy trajectory correlations

Tulga Ersal, Hosam Kadry Fathy, Jeffrey L. Stein

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Previous work by the authors developed algorithms for simplifying the structure of a lumped dynamic system model and reducing its order. This paper extends this previous work to enable simultaneous model structure and order reduction. Specifically, it introduces a new energy-based metric to evaluate the relative importance of energetic connections in a model. This metric (1) accounts for correlations between energy flow patterns in a model using the Karhunen-Loève expansion; (2) examines all energetic connections in a model, thereby assessing the relative importance of both energetic components and their interactions, and enabling both order and structural reduction; and (3) is realization-preserving, in the sense of not requiring a state transformation. A reduction scheme based on this metric is presented and illustrated using a simple example.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2007
Pages1551-1558
Number of pages8
DOIs
StatePublished - May 30 2008
EventASME International Mechanical Engineering Congress and Exposition, IMECE 2007 - Seattle, WA, United States
Duration: Nov 11 2007Nov 15 2007

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
Volume9 PART C

Other

OtherASME International Mechanical Engineering Congress and Exposition, IMECE 2007
CountryUnited States
CitySeattle, WA
Period11/11/0711/15/07

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Mechanical Engineering

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    Ersal, T., Fathy, H. K., & Stein, J. L. (2008). Realization-preserving structure and order reduction of nonlinear energetic system models using energy trajectory correlations. In Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2007 (pp. 1551-1558). (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 9 PART C). https://doi.org/10.1115/IMECE2007-42041