Robust stabilization of uncertain time delay systems via internal and external approaches

Akira Kojima, Kenko Uchida, Etsujiro Shimemura

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

    Abstract

    The authors solve a robust stabilization problem defined for time delay systems. They take a twofold approach to the derivation of the robust stabilizing control law: the internal approach based on a Lyapunov type operator equation and the external approach based on the small-gain theorem. The internal approach enables one to solve a restricted robust stabilization problem by introducing an indefinite Riccati type operator equation. Then, as the internal approach is not applicable for the analysis of the point delay element, the external approach is used to analyze the robust stability against the uncertainty of the point delay element. Finally, by exploiting the merits of both approaches, a robust stabilizing control law against all types of the perturbations is obtained.

    Original languageEnglish
    Title of host publicationProceedings of the IEEE Conference on Decision and Control
    PublisherPubl by IEEE
    Pages1624-1626
    Number of pages3
    Volume3
    Publication statusPublished - 1990
    EventProceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA
    Duration: 1990 Dec 51990 Dec 7

    Other

    OtherProceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)
    CityHonolulu, HI, USA
    Period90/12/590/12/7

    Fingerprint

    Time delay
    Stabilization
    Uncertainty
    Robust stability

    ASJC Scopus subject areas

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

    Cite this

    Kojima, A., Uchida, K., & Shimemura, E. (1990). Robust stabilization of uncertain time delay systems via internal and external approaches. In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 1624-1626). Publ by IEEE.

    Robust stabilization of uncertain time delay systems via internal and external approaches. / Kojima, Akira; Uchida, Kenko; Shimemura, Etsujiro.

    Proceedings of the IEEE Conference on Decision and Control. Vol. 3 Publ by IEEE, 1990. p. 1624-1626.

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

    Kojima, A, Uchida, K & Shimemura, E 1990, Robust stabilization of uncertain time delay systems via internal and external approaches. in Proceedings of the IEEE Conference on Decision and Control. vol. 3, Publ by IEEE, pp. 1624-1626, Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6), Honolulu, HI, USA, 90/12/5.
    Kojima A, Uchida K, Shimemura E. Robust stabilization of uncertain time delay systems via internal and external approaches. In Proceedings of the IEEE Conference on Decision and Control. Vol. 3. Publ by IEEE. 1990. p. 1624-1626
    Kojima, Akira ; Uchida, Kenko ; Shimemura, Etsujiro. / Robust stabilization of uncertain time delay systems via internal and external approaches. Proceedings of the IEEE Conference on Decision and Control. Vol. 3 Publ by IEEE, 1990. pp. 1624-1626
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