Another look at finite horizon H control problems for systems with input delays

Kenko Uchida, M. Fujita, K. Ikeda

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    We discuss a finite horizon H control problem for time-varying systems with input delays. Clarifying a relationship between two H control problems in input delay case and in measurement delay case, we derive a solution in input delay case based on the known result for the H control problem in measurement delay case, and show that the solution has the same predictor-observer structure as the solution in measurement delay case has. Using this structural information on the solution, we also present an elementary proof of the solution to the finite horizon H control problem for systems with input delays, which is based only on completion of squares.

    Original languageEnglish
    Pages (from-to)977-984
    Number of pages8
    JournalAutomatica
    Volume40
    Issue number6
    DOIs
    Publication statusPublished - 2004 Jun

    Keywords

    • Finite horizon H control
    • Input delay
    • Riccati differential equations
    • Time-varying systems

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Electrical and Electronic Engineering

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