Classical LQ regulator applied to the system with nonzero excitations

Ryszard Gessing

doi:10.23919/ecc.2007.7068399

Classical LQ regulator applied to the system with nonzero excitations

Ryszard Gessing

Faculty of Automatic Control, Electronics And Computer Science (RAU)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The LQ regulators with state or output feedback, designed for nonzero plant initial conditions and zero external excitations and applied to the systems with nonzero excitations are considered. In the case of the LQ regulator with output feedback, zero external excitations and nonzero plant initial conditions it is shown that the regulator is optimal or suboptimal if its initial conditions are adequate or nonadequate to those of the plant, respectively. It is shown that the LQ regulators with state or output feedback applied to systems with nonzero excitations retain their optimality properties which however concern only the transients generated by the excitations. Additionally, a necessary condition of regulation for MIMO plant is formulated and proved.

Original language	English
Title of host publication	2007 European Control Conference, ECC 2007
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3026-3032
Number of pages	7
ISBN (Electronic)	9783952417386
DOIs	https://doi.org/10.23919/ecc.2007.7068399
Publication status	Published - 2007
Event	2007 9th European Control Conference, ECC 2007 - Kos, Greece Duration: 2 Jul 2007 → 5 Jul 2007

Publication series

Name	2007 European Control Conference, ECC 2007

Conference

Conference	2007 9th European Control Conference, ECC 2007
Country/Territory	Greece
City	Kos
Period	2/07/07 → 5/07/07

ASJC Scopus subject areas

Control and Systems Engineering

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10.23919/ecc.2007.7068399

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title = "Classical LQ regulator applied to the system with nonzero excitations",

abstract = "The LQ regulators with state or output feedback, designed for nonzero plant initial conditions and zero external excitations and applied to the systems with nonzero excitations are considered. In the case of the LQ regulator with output feedback, zero external excitations and nonzero plant initial conditions it is shown that the regulator is optimal or suboptimal if its initial conditions are adequate or nonadequate to those of the plant, respectively. It is shown that the LQ regulators with state or output feedback applied to systems with nonzero excitations retain their optimality properties which however concern only the transients generated by the excitations. Additionally, a necessary condition of regulation for MIMO plant is formulated and proved.",

author = "Ryszard Gessing",

note = "Publisher Copyright: {\textcopyright} 2007 EUCA.; 2007 9th European Control Conference, ECC 2007 ; Conference date: 02-07-2007 Through 05-07-2007",

year = "2007",

doi = "10.23919/ecc.2007.7068399",

language = "English",

series = "2007 European Control Conference, ECC 2007",

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

pages = "3026--3032",

booktitle = "2007 European Control Conference, ECC 2007",

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Gessing, R 2007, Classical LQ regulator applied to the system with nonzero excitations. in 2007 European Control Conference, ECC 2007., 7068399, 2007 European Control Conference, ECC 2007, Institute of Electrical and Electronics Engineers Inc., pp. 3026-3032, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 2/07/07. https://doi.org/10.23919/ecc.2007.7068399

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PY - 2007

Y1 - 2007

N2 - The LQ regulators with state or output feedback, designed for nonzero plant initial conditions and zero external excitations and applied to the systems with nonzero excitations are considered. In the case of the LQ regulator with output feedback, zero external excitations and nonzero plant initial conditions it is shown that the regulator is optimal or suboptimal if its initial conditions are adequate or nonadequate to those of the plant, respectively. It is shown that the LQ regulators with state or output feedback applied to systems with nonzero excitations retain their optimality properties which however concern only the transients generated by the excitations. Additionally, a necessary condition of regulation for MIMO plant is formulated and proved.

AB - The LQ regulators with state or output feedback, designed for nonzero plant initial conditions and zero external excitations and applied to the systems with nonzero excitations are considered. In the case of the LQ regulator with output feedback, zero external excitations and nonzero plant initial conditions it is shown that the regulator is optimal or suboptimal if its initial conditions are adequate or nonadequate to those of the plant, respectively. It is shown that the LQ regulators with state or output feedback applied to systems with nonzero excitations retain their optimality properties which however concern only the transients generated by the excitations. Additionally, a necessary condition of regulation for MIMO plant is formulated and proved.

UR - https://www.scopus.com/pages/publications/84927725708

U2 - 10.23919/ecc.2007.7068399

DO - 10.23919/ecc.2007.7068399

M3 - Conference contribution

AN - SCOPUS:84927725708

T3 - 2007 European Control Conference, ECC 2007

SP - 3026

EP - 3032

BT - 2007 European Control Conference, ECC 2007

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2007 9th European Control Conference, ECC 2007

Y2 - 2 July 2007 through 5 July 2007

ER -

Classical LQ regulator applied to the system with nonzero excitations

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