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)

Abstract

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
JournalAutomatica
Volume41
Issue number7
DOIs
Publication statusPublished - 2005

Fingerprint

Impulse response
Time delay
Controllers

Keywords

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

Cite this

Agoes Ariffin Moelja, A.A. ; Meinsma, Gjerrit. / H2-optimal control of systems with multiple i/o delays: Time domain approach. In: Automatica. 2005 ; Vol. 41, No. 7. pp. 1229-1238.
@article{51731e0492c14d30b5916b20d3253e1d,
title = "H2-optimal control of systems with multiple i/o delays: Time domain approach",
abstract = "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.",
keywords = "H2 control, LQG control, IR-77664, METIS-227108, Time delay systems",
author = "{Agoes Ariffin Moelja}, A.A. and Gjerrit Meinsma",
year = "2005",
doi = "10.1016/j.automatica.2005.01.016",
language = "English",
volume = "41",
pages = "1229--1238",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier",
number = "7",

}

H2-optimal control of systems with multiple i/o delays: Time domain approach. / Agoes Ariffin Moelja, A.A.; Meinsma, Gjerrit.

In: Automatica, Vol. 41, No. 7, 2005, p. 1229-1238.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - H2-optimal control of systems with multiple i/o delays: Time domain approach

AU - Agoes Ariffin Moelja, A.A.

AU - Meinsma, Gjerrit

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - H2 control

KW - LQG control

KW - IR-77664

KW - METIS-227108

KW - Time delay systems

U2 - 10.1016/j.automatica.2005.01.016

DO - 10.1016/j.automatica.2005.01.016

M3 - Article

VL - 41

SP - 1229

EP - 1238

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 7

ER -