Equivalence of nonlinear systems to input-output prime forms

R. Marino, W. Respondek, A.J. van der Schaft

    Research output: Contribution to journalArticleAcademicpeer-review

    15 Citations (Scopus)
    63 Downloads (Pure)

    Abstract

    The problem of transforming nonlinear control systems into input-output prime forms is dealt with, using state space, static state feedback, and also output space transformations. Necessary and sufficient geometric conditions for the solvability of this problem are obtained. The results obtained generalize well-known results both on feedback linearization as well as input-output decoupling of nonlinear systems. It turns out that, from a computational point of view, the output space transformation is the crucial step, that is performed by constructing rectifying coordinates for a nested sequence of distributions on the output manifold.
    Original languageEnglish
    Pages (from-to)387-407
    Number of pages21
    JournalSIAM journal on control and optimization
    Volume32
    Issue number2
    DOIs
    Publication statusPublished - 1994

    Keywords

    • Equivalence
    • Output transformation
    • Input-output prime system
    • Integrable distributions
    • Input-output decoupling

    Fingerprint Dive into the research topics of 'Equivalence of nonlinear systems to input-output prime forms'. Together they form a unique fingerprint.

    Cite this