H2-optimal control of systems with multiple i/o delays: Time domain approach

A.A. Agoes Ariffin Moelja, Gjerrit Meinsma

    Research output: Contribution to journalArticleAcademicpeer-review

    24 Citations (Scopus)


    In this paper the H2-optimal control problem of systems with multiple i/o delays is presented. The problem is first converted to an equivalent H2 regulator problem with multiple delays. The idea is to view the regulator problem in time-domain as a linear quadratic regulator problem with multiple input delays. It is shown that the rational part of the optimal controller has the same dimension as the plant and the non-rational part may be chosen to have finite impulse response. Furthermore, the regulator problem solution is also used to solve the H2 filtering problem with multiple measurement delays.
    Original languageEnglish
    Pages (from-to)1229-1238
    Number of pages10
    Issue number7
    Publication statusPublished - 2005


    • H2 control
    • LQG control
    • IR-77664
    • METIS-227108
    • Time delay systems


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