The status of singular value loop-shaping as a design paradigm for multivariable feedback systems is reviewed. It shows that this paradigm is an effective design tool whenever the problem specifications are spacially round. The tool can be arbitrarily conservative, however, when they are not. This happens because singular value conditions for robust performance are not tight (necessary and sufficient) and can severely overstate actual requirements. An alternate paradign is discussed which overcomes these limitations. The alternative includes a more general problem formulation, a new matrix function mu, and tight conditions for both robust stability and robust performance. The state of the art currently permits analysis of feedback systems within this new paradigm. Synthesis remains a subject of research.


    Zugriff

    Zugriff über TIB

    Verfügbarkeit in meiner Bibliothek prüfen


    Exportieren, teilen und zitieren



    Titel :

    Beyond singular values and loop shapes


    Beteiligte:
    Stein, Gunter (Autor:in) / Doyle, John C. (Autor:in)


    Erscheinungsdatum :

    1991-02-01



    Medientyp :

    Sonstige


    Format :

    Keine Angabe


    Sprache :

    Englisch


    Schlagwörter :


    Beyond singular values and loop shapes

    STEIN, GUNTER / DOYLE, JOHN C. | AIAA | 1991


    Twisted traces of singular values

    Kim, C. H. | British Library Online Contents | 2009


    Singular values of cumulant matrices (sv971026)

    Rokni, M. | Online Contents | 1997


    Singular values of some modular functions

    Ishii, N. / Kobayashi, M. | British Library Online Contents | 2011


    Model Updating with Closed-Loop Strain Mode Shapes

    Jaehoon Ha / Youngjin Park / Younsik Park | AIAA | 2007