Output Feedback Control Synthesis for Linear Time-Delay Systems via Infinite-dimensional LMI Approach

Takehito Azuma, Masayuki Fujita, Seiichi Sagara, Kenko Uchida

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

    12 Citations (Scopus)

    Abstract

    This paper considers synthesis problems of output feedback controllers for linear time-delay systems via infinite-dimensional Linear Matrix Inequality (LMI) approach. Based on our recent work considering synthesis problems of stabilizing dynamic output feedback controllers which guarantee the internal stability of the closed loop systems, we derive existence conditions and explicit formulas of two different dynamic output feedback H controllers, which guarantee the internal stability of the closed loop systems and a prescribed level of L 2 gain of closed loop systems. The derived dynamic output feedback H controllers can be interpreted as controllers which consist of memory state feedback controllers and memoryless/memory observers which have new observer structures. Next, we introduce a technique to reduce conditions for synthesis in the form of infinite-dimensional LMIs to the finite number of LMIs, and present a feasible algorithm for synthesis of output feedback H controllers based on the finite-dimensional LMIs. Finally we demonstrate the efficacy of the proposed output feedback H controllers by numerical examples.

    Original languageEnglish
    Title of host publicationProceedings of the IEEE Conference on Decision and Control
    Pages4026-4031
    Number of pages6
    Volume4
    Publication statusPublished - 2003
    Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
    Duration: 2003 Dec 92003 Dec 12

    Other

    Other42nd IEEE Conference on Decision and Control
    CountryUnited States
    CityMaui, HI
    Period03/12/903/12/12

    Fingerprint

    Linear matrix inequalities
    Feedback control
    Time delay
    Controllers
    Feedback
    Closed loop systems
    Data storage equipment
    State feedback

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Safety, Risk, Reliability and Quality
    • Chemical Health and Safety

    Cite this

    Azuma, T., Fujita, M., Sagara, S., & Uchida, K. (2003). Output Feedback Control Synthesis for Linear Time-Delay Systems via Infinite-dimensional LMI Approach. In Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 4026-4031)

    Output Feedback Control Synthesis for Linear Time-Delay Systems via Infinite-dimensional LMI Approach. / Azuma, Takehito; Fujita, Masayuki; Sagara, Seiichi; Uchida, Kenko.

    Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2003. p. 4026-4031.

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

    Azuma, T, Fujita, M, Sagara, S & Uchida, K 2003, Output Feedback Control Synthesis for Linear Time-Delay Systems via Infinite-dimensional LMI Approach. in Proceedings of the IEEE Conference on Decision and Control. vol. 4, pp. 4026-4031, 42nd IEEE Conference on Decision and Control, Maui, HI, United States, 03/12/9.
    Azuma T, Fujita M, Sagara S, Uchida K. Output Feedback Control Synthesis for Linear Time-Delay Systems via Infinite-dimensional LMI Approach. In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. 2003. p. 4026-4031
    Azuma, Takehito ; Fujita, Masayuki ; Sagara, Seiichi ; Uchida, Kenko. / Output Feedback Control Synthesis for Linear Time-Delay Systems via Infinite-dimensional LMI Approach. Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2003. pp. 4026-4031
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