Loop transfer recovery for general observer architecture

Hans Henrik Niemann, Per Søgaard-Andersen, Jakob Stoustrup

    Research output: Contribution to journalJournal articleResearchpeer-review

    977 Downloads (Orbit)

    Abstract

    A general and concise formulation is given of the loop transfer recovery (LTR) design problem based on recovery errors. Three types of recovery errors are
    treated: open loop recovery, sensitivity recovery and input-output recovery errors. The three corresponding versions of the asymptotic recovery problem tum
    out to be equivalent, since the minimization of the recovery errors all amount to the minimization of a certain matrix, the recovery matrix. Using the recovery
    error definitions, simple necessary and sufficient conditions for the controllers are derived both for the exact and asymptotic recovery cases. This general recovery formulation covers all known observer based compensator types as special cases. The conditions given in this setting are effectively the aim of all known LTR design methods. The recovery formulation is interpreted in terms of a modelmatching problem as well, which is examined by means of the Q-parametrization. It is shown how the general controller obtained by the Q-parametrization can be written as a Luenberger observer based controller. In all cases, n controller states suffice to achieve recovery. The compensators are characterized for errors both on the input- and on the output-node (dual case).
    Original languageEnglish
    JournalInternational Journal of Control
    Volume53
    Issue number5
    Pages (from-to)1177-1203
    ISSN0020-7179
    DOIs
    Publication statusPublished - 1991

    Fingerprint

    Dive into the research topics of 'Loop transfer recovery for general observer architecture'. Together they form a unique fingerprint.

    Cite this