Reduction of H state feedback control problems for the servo systems

Hayato Waki, Noboru Sebe

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2 Citations (Scopus)

    Abstract

    We study the strict feasibility of the linear matrix inequality (LMI) and its dual for H state feedback control problem for the multi-input multi-output (MIMO) servo system. Then we show that weighting functions with unstable zeros improve the numerical accuracy. We discuss the relationship between the zeros in the weighting function and the strict feasibility of the dual LMI. This is closely related to the numerical accuracy of LMI solvers because algorithms implemented in LMI solvers require the strict feasibility for both the LMI and its dual. Furthermore, we provide closed-form expression of the performance limitation when given plants have one or two unstable invariant zeros. The non-strict feasibility of the dual plays an essential role in the expression.

    Original languageEnglish
    Title of host publication2017 Asian Control Conference, ASCC 2017
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages2244-2249
    Number of pages6
    ISBN (Electronic)9781509015733
    DOIs
    Publication statusPublished - Feb 7 2018
    Event2017 11th Asian Control Conference, ASCC 2017 - Gold Coast, Australia
    Duration: Dec 17 2017Dec 20 2017

    Publication series

    Name2017 Asian Control Conference, ASCC 2017
    Volume2018-January

    Other

    Other2017 11th Asian Control Conference, ASCC 2017
    CountryAustralia
    CityGold Coast
    Period12/17/1712/20/17

    All Science Journal Classification (ASJC) codes

    • Control and Optimization

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