Analysis, design, and performance limitations of H∞ optimal filtering in the presence of an additional input with known frequency

Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti*

*Corresponding author for this work

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    Abstract

    A generalized γ‐level H ∞ sub‐optimal input decoupling (SOID) filtering problem is formulated. It is a generalization of γ‐level H ∞ SOID filtering problem when, besides an input with unknown statistical properties but with a finite RMS norm, there exists an additional input to the given plant or system. The additional input is a linear combination of sinusoidal signals each of which has an unknown amplitude and phase but known frequency. The analysis, design, and performance limitations of generalized H ∞ optimal filters are presented.
    Original languageEnglish
    Pages (from-to)1474-1488
    Number of pages15
    JournalInternational journal of robust and nonlinear control
    Volume17
    Issue number16
    DOIs
    Publication statusPublished - 2007

    Keywords

    • H∞ filtering
    • Regulator problem

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