Finite Horizon H Control Problems with Terminal Penalties

Kenko Uchida, Masayuki Fujita

    研究成果: Article

    11 引用 (Scopus)

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    We generalize the standard H control problem to the finite horizon case with two (possibly singular) terminal penalties at the initial and final times. The major objective of the generalization is to increase flexibility of IF controls. Transients in the finite horizon and the terminal penalties are taken into account within the framework of H control problems. We give a complete solution, a necessary and sufficient condition, and a parameterization to the finite horizon H control problem. The solution is a natural extension of the “Riccati equation” solution. In the special case, when all the terminal penalties vanish, the solution is reduced to the existing one and to the finite horizon standard H control problem. Our approach to the problem is based on completing the square argument of a particular quadratic form, which is at least technically different from the previous ones.

    元の言語English
    ページ(範囲)1762-1767
    ページ数6
    ジャーナルIEEE Transactions on Automatic Control
    37
    発行部数11
    DOI
    出版物ステータスPublished - 1992

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    ASJC Scopus subject areas

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

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