On robust PI-control of infinite-dimensional systems

Hartmut Logemann, Hans Zwart

    Research output: Contribution to journalArticleAcademicpeer-review

    13 Citations (Scopus)

    Abstract

    A PI-controller is applied to a class of linear multivariable infinite-dimensional minimum-phase systems satisfying a generalized “relative-degree one” condition. It is shown that the closed-loop system is stable and tracks asymptotically constant reference signals in the presence of asymptotically constant disturbances, provided that the controller gains are sufficiently large. It turns out that the closed-loop system has nice robustness properties under high-gain conditions. In particular, robustness criteria for external and internal stability are given if the closed-loop system is subjected to perturbations induced by nonlinearities in the feedback loop. The analysis is based on frequency-domain as well as state-space methods.
    Original languageEnglish
    Pages (from-to)573-593
    JournalSIAM journal on control and optimization
    Volume30
    Issue number3
    DOIs
    Publication statusPublished - 1992

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