Robust stability and performance analysis for uncertain linear systems-The distance measure approach

Alexander Lanzon, Sönke Engelken, Sourav Patra, George Papageorgiou

    Research output: Contribution to journalArticlepeer-review

    Abstract

    This paper presents readily applicable distance measures, robust stability margins and associated robust stability and robust performance theorems for three commonly used uncertainty structures (additive, input/output multiplicative, output/input inverse multiplicative). Besides providing robust stability results for a larger uncertainty class than previously reported (RL ∞ instead of RL ∞), this paper also states robust performance theorems for the above uncertainty structures. In contrast to previous methods for robust performance analysis, they only require the computation of two infinity norms for every uncertain plant considered. The theorems in this paper enable practising engineers to choose the most suitable uncertainty structure for a family of uncertain plants, as illustrated through a physically motivated numerical example. Copyright © 2011 John Wiley & Sons, Ltd.
    Original languageEnglish
    Pages (from-to)1270-1292
    Number of pages22
    JournalInternational Journal of Robust and Nonlinear Control
    Volume22
    Issue number11
    DOIs
    Publication statusPublished - 25 Jul 2012

    Keywords

    • distance measures
    • robust performance
    • robust stability
    • uncertain linear systems

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