A new expression for the discrete time H2 performance limit based on state-space representation

Kazunori Nishio, Kenji Kashima

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

    1 Citation (Scopus)


    In this paper, we derive an analytical expression of the H2 performance limit based on state space representation. In order to focus on effects of non-minimum phase properties, we express systems as a series connection of a rational transfer matrix and a scalar inner function. The final result, given as a functional of the inner function, helps us to understand how achievable H2∼ performance deteriorates due to non-minimum phase properties of the plants.

    Original languageEnglish
    Title of host publication2006 SICE-ICASE International Joint Conference
    PublisherInstitute of Control Automation and Systems Engineers (ICASE)
    Number of pages4
    ISBN (Print)8995003855, 9788995003855
    Publication statusPublished - 2006
    Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
    Duration: 2006 Oct 182006 Oct 21

    Publication series

    Name2006 SICE-ICASE International Joint Conference


    Other2006 SICE-ICASE International Joint Conference
    CountryKorea, Republic of


    • Discrete-time systems
    • Non-minimum phase systems
    • Performance limitation

    ASJC Scopus subject areas

    • Computer Science Applications
    • Control and Systems Engineering
    • Electrical and Electronic Engineering

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