The linear-quadratic optimal control approach to feedback control design for systems with delay

Kenko Uchida*, E. Shimemura, T. Kubo, N. Abe

*この研究の対応する著者

    研究成果: Article査読

    66 被引用数 (Scopus)

    抄録

    A generalized linear-quadratic optimal control problem for systems with delay is formulated. The optimal solution is given as a state feedback form which requires a solution of coupled infinite-dimensional Riccati equations. It is shown that the closed-loop system formed by the optimal state feedback control has some desirable sensitivity and robustness properties. The generalization exists in the state quadratic form of the cost functional, which makes it possible to discuss a pole location problem within the framework of the linear-quadratic optimal control problem. It is also shown that the generalized cost functional contains a special class of cost functionals for which the optimal control can be realized by solving only a finite-dimensional Riccati equation. Based on these results about the generalized linear-quadratic optimal control, a design method of feedback controls is proposed and an illustrative example is then presented.

    本文言語English
    ページ(範囲)773-780
    ページ数8
    ジャーナルAutomatica
    24
    6
    DOI
    出版ステータスPublished - 1988

    ASJC Scopus subject areas

    • 制御およびシステム工学
    • 電子工学および電気工学

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