Balancing for unstable nonlinear systems

J.M.A. Scherpen

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    44 Downloads (Pure)

    Abstract

    A previously obtained method of balancing for stable nonlinear systems is extended to unstable nonlinear systems. The similarity invariants obtained by the concept of LQG balancing for an unstable linear system can also be obtained by considering a past and future energy function of the system. By considering a past and future energy function for an unstable nonlinear system, the concept of these similarity invariants for linear systems is extended to nonlinear systems. Furthermore the relation of this balancing method with the previously obtained method of balancing the coprime factorization of an unstable nonlinear system is considered. Both methods are introduced with the aim of using it as a tool for model reduction
    Original languageEnglish
    Title of host publicationProceedings of the 32nd IEEE Conference on Decision and Control
    Subtitle of host publicationDecember 15-17, 1993, Marriott Rivercenter, San Antonio, Texas, USA
    Place of PublicationPiscataway, NJ, USA
    PublisherIEEE
    Pages14-19
    Number of pages6
    Volume1
    ISBN (Print)9780780312982
    DOIs
    Publication statusPublished - 1 Jun 1993
    Event32nd IEEE Conference on Decision and Control, CDC 1993 - San Antonio, United States
    Duration: 15 Dec 199317 Dec 1993
    Conference number: 32

    Publication series

    NameProceedings IEEE Conference on Decision and Control (CDC)
    PublisherIEEE
    Volume1993
    ISSN (Print)0191-2216

    Conference

    Conference32nd IEEE Conference on Decision and Control, CDC 1993
    Abbreviated titleCDC
    CountryUnited States
    CitySan Antonio
    Period15/12/9317/12/93

    Keywords

    • Balancing
    • Hamilton-Jacobi-Bellman equations
    • Nonlinear systems
    • Model reduction

    Fingerprint Dive into the research topics of 'Balancing for unstable nonlinear systems'. Together they form a unique fingerprint.

    Cite this