Analysis, design, and performance limitations of $H_{\infty}$ optimal filtering in the presence of an additional input with known frequency

Ali Saberi, Antonie Arij Stoorvogel, Peddapullaiah Sannuti

    Research output: Contribution to journalArticleAcademicpeer-review

    1 Citation (Scopus)

    Abstract

    A generalized $\gamma$-level $H_\infty$ sub-optimal input decoupling (SOID) filtering problem is formulated. It is a generalization of $\gamma$-level $H_\infty$ 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 $H_\infty$ optimal filters are presented.
    Original languageUndefined
    Article number10.1002/rnc.1182
    Pages (from-to)1474-1488
    Number of pages15
    JournalInternational journal of robust and nonlinear control
    Volume17
    Issue numberLNCS4549/16
    DOIs
    Publication statusPublished - 2007

    Keywords

    • EWI-11069
    • METIS-241913
    • IR-61919

    Cite this

    @article{038c3acf2ac040a39afa730b9ea7ea99,
    title = "Analysis, design, and performance limitations of $H_{\infty}$ optimal filtering in the presence of an additional input with known frequency",
    abstract = "A generalized $\gamma$-level $H_\infty$ sub-optimal input decoupling (SOID) filtering problem is formulated. It is a generalization of $\gamma$-level $H_\infty$ 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 $H_\infty$ optimal filters are presented.",
    keywords = "EWI-11069, METIS-241913, IR-61919",
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    year = "2007",
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    Analysis, design, and performance limitations of $H_{\infty}$ optimal filtering in the presence of an additional input with known frequency. / Saberi, Ali; Stoorvogel, Antonie Arij; Sannuti, Peddapullaiah.

    In: International journal of robust and nonlinear control, Vol. 17, No. LNCS4549/16, 10.1002/rnc.1182, 2007, p. 1474-1488.

    Research output: Contribution to journalArticleAcademicpeer-review

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    T1 - Analysis, design, and performance limitations of $H_{\infty}$ optimal filtering in the presence of an additional input with known frequency

    AU - Saberi, Ali

    AU - Stoorvogel, Antonie Arij

    AU - Sannuti, Peddapullaiah

    N1 - 10.1002/rnc.1182

    PY - 2007

    Y1 - 2007

    N2 - A generalized $\gamma$-level $H_\infty$ sub-optimal input decoupling (SOID) filtering problem is formulated. It is a generalization of $\gamma$-level $H_\infty$ 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 $H_\infty$ optimal filters are presented.

    AB - A generalized $\gamma$-level $H_\infty$ sub-optimal input decoupling (SOID) filtering problem is formulated. It is a generalization of $\gamma$-level $H_\infty$ 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 $H_\infty$ optimal filters are presented.

    KW - EWI-11069

    KW - METIS-241913

    KW - IR-61919

    U2 - 10.1002/rnc.1182

    DO - 10.1002/rnc.1182

    M3 - Article

    VL - 17

    SP - 1474

    EP - 1488

    JO - International journal of robust and nonlinear control

    JF - International journal of robust and nonlinear control

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    M1 - 10.1002/rnc.1182

    ER -