Robust stabilization of time delay systems based on riccati type operator equation arising in differential games

Akira Kojima, Kenko Uchida, Etsujiro Shimemura

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

    Abstract

    A robust stabilization problem is discussed for time delay systems. By introducing an indefinite Riccati type operator equation for time delay systems, we propose a design method of robust stabilizing control law against the parametric uncertainties, which occur in lumped parameter element and in all types of delay element. In the derivation of the control law, the key point is that we take a twofold approach; one is an internal approach based on Lyapunov type operator equation and another is an external approach based on small-gain theorem. This twofold approach first enable us to deal the uncertainties of time delay systems in a unified way.

    Original languageEnglish
    Title of host publicationLecture Notes in Control and Information Sciences
    Editors Anon
    PublisherPubl by Springer-Verlag Berlin
    Pages197-206
    Number of pages10
    Volume156
    Publication statusPublished - 1991
    EventProceedings of the 4th International Symposium on Differential Games and Applications - Helsinki, Finl
    Duration: 1990 Aug 91990 Aug 10

    Other

    OtherProceedings of the 4th International Symposium on Differential Games and Applications
    CityHelsinki, Finl
    Period90/8/990/8/10

    Fingerprint

    Time delay
    Stabilization
    Uncertainty

    ASJC Scopus subject areas

    • Engineering(all)

    Cite this

    Kojima, A., Uchida, K., & Shimemura, E. (1991). Robust stabilization of time delay systems based on riccati type operator equation arising in differential games. In Anon (Ed.), Lecture Notes in Control and Information Sciences (Vol. 156, pp. 197-206). Publ by Springer-Verlag Berlin.

    Robust stabilization of time delay systems based on riccati type operator equation arising in differential games. / Kojima, Akira; Uchida, Kenko; Shimemura, Etsujiro.

    Lecture Notes in Control and Information Sciences. ed. / Anon. Vol. 156 Publ by Springer-Verlag Berlin, 1991. p. 197-206.

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

    Kojima, A, Uchida, K & Shimemura, E 1991, Robust stabilization of time delay systems based on riccati type operator equation arising in differential games. in Anon (ed.), Lecture Notes in Control and Information Sciences. vol. 156, Publ by Springer-Verlag Berlin, pp. 197-206, Proceedings of the 4th International Symposium on Differential Games and Applications, Helsinki, Finl, 90/8/9.
    Kojima A, Uchida K, Shimemura E. Robust stabilization of time delay systems based on riccati type operator equation arising in differential games. In Anon, editor, Lecture Notes in Control and Information Sciences. Vol. 156. Publ by Springer-Verlag Berlin. 1991. p. 197-206
    Kojima, Akira ; Uchida, Kenko ; Shimemura, Etsujiro. / Robust stabilization of time delay systems based on riccati type operator equation arising in differential games. Lecture Notes in Control and Information Sciences. editor / Anon. Vol. 156 Publ by Springer-Verlag Berlin, 1991. pp. 197-206
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