About relation between LQ and H2 optimal control with output feedback

R. Gessing; A. Czornik

About relation between LQ and H² optimal control with output feedback

Research output: Contribution to journal › Conference article › peer-review

Abstract

It is noted that the trial of reformulation of the deterministic LQ problem with output feedback as an H₂ problem, by using the method described in [7], is unsuccessful. This view is justified and supported by an example. Next, another formulation of this problem is proposed and illustrated. The problem of zero initial condition of the dynamic LQ regulator resulting from the assumption made in H₂ approach is also discussed. Especially, the impracticality associated with this assumption is noticed and justified.

Original language	English
Pages (from-to)	3508-3512
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	4
Publication status	Published - 2003
Event	2003 American Control Conference - Denver, CO, United States Duration: 4 Jun 2003 → 6 Jun 2003

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "About relation between LQ and H2 optimal control with output feedback",

abstract = "It is noted that the trial of reformulation of the deterministic LQ problem with output feedback as an H2 problem, by using the method described in [7], is unsuccessful. This view is justified and supported by an example. Next, another formulation of this problem is proposed and illustrated. The problem of zero initial condition of the dynamic LQ regulator resulting from the assumption made in H2 approach is also discussed. Especially, the impracticality associated with this assumption is noticed and justified.",

author = "R. Gessing and A. Czornik",

year = "2003",

language = "English",

volume = "4",

pages = "3508--3512",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2003 American Control Conference ; Conference date: 04-06-2003 Through 06-06-2003",

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TY - JOUR

T1 - About relation between LQ and H2 optimal control with output feedback

AU - Gessing, R.

AU - Czornik, A.

PY - 2003

Y1 - 2003

N2 - It is noted that the trial of reformulation of the deterministic LQ problem with output feedback as an H2 problem, by using the method described in [7], is unsuccessful. This view is justified and supported by an example. Next, another formulation of this problem is proposed and illustrated. The problem of zero initial condition of the dynamic LQ regulator resulting from the assumption made in H2 approach is also discussed. Especially, the impracticality associated with this assumption is noticed and justified.

AB - It is noted that the trial of reformulation of the deterministic LQ problem with output feedback as an H2 problem, by using the method described in [7], is unsuccessful. This view is justified and supported by an example. Next, another formulation of this problem is proposed and illustrated. The problem of zero initial condition of the dynamic LQ regulator resulting from the assumption made in H2 approach is also discussed. Especially, the impracticality associated with this assumption is noticed and justified.

UR - https://www.scopus.com/pages/publications/0142215110

M3 - Conference article

AN - SCOPUS:0142215110

SN - 0743-1619

VL - 4

SP - 3508

EP - 3512

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - 2003 American Control Conference

Y2 - 4 June 2003 through 6 June 2003

ER -

About relation between LQ and H² optimal control with output feedback

Abstract

ASJC Scopus subject areas

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