Analysis of linear dynamic systems of low rank

Agnar Høskuldsson

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    We present here procedures of how obtain stable solutions to linear dynamic systems can be found. Different types of models are considered. The basic idea is to use the H-principle to develop low rank approximations to solutions. The approximations stop, when the prediction ability of the model cannot be improved for the present data. Therefore, the present methods give better prediction results than traditional methods that give exact solutions. The vectors used in the approximations can be used to carry out graphic analysis of the dynamic systems. We show how score vectors can display the low dimensional variation in data, the loading vectors display the correlation structure and the transformation (causal) vectors how the variables generate the resulting variation in data. These graphics methods are important in supervising and controlling the process in light of the variation in data.
    Original languageEnglish
    Title of host publicationEuropean Symposium on Computer Aided Process Engineering - 13
    PublisherElsevier
    Publication date2003
    Pages497-502
    ISBN (Print)0-444-51368-X
    Publication statusPublished - 2003
    Event13th European Symposium on Computer Aided Process Engineering: 36th European Symposium of the Working Party on Computer Aided Process Engineering - Lappeenranta, Finland
    Duration: 1 Jun 20034 Jun 2003
    Conference number: 13, 36

    Conference

    Conference13th European Symposium on Computer Aided Process Engineering
    Number13, 36
    CountryFinland
    CityLappeenranta
    Period01/06/200304/06/2003
    SeriesComputer Aided Chemical Engineering
    Volume14
    ISSN1570-7946

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