A generalized H∞ control system design attenuating initial state uncertainties

Toru Namerikawa; Masayuki Fujita; Roy S. Smith; Kenko Uchida

doi:10.1109/ACC.2002.1023966

A generalized H_∞ control system design attenuating initial state uncertainties

Toru Namerikawa^*, Masayuki Fujita, Roy S. Smith, Kenko Uchida

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

This paper deals with a generalized H_∞ control attenuating initial-state uncertainties. An H_∞ control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the infinite-horizon case, is examined. The mixed attenuation supplies H_∞ controls with good transients and assures H_∞ controls of robustness against initial-state uncertainty. We derive a necessary and sufficient condition of the generalized mixed attenuation problem. Furthermore we apply this proposed method to a magnetic suspension system, and evaluate attenuation property of the proposed generalized H_∞ control approach.

Original language	English
Title of host publication	Proceedings of the American Control Conference
Pages	2204-2209
Number of pages	6
Volume	3
DOIs	https://doi.org/10.1109/ACC.2002.1023966
Publication status	Published - 2002
Externally published	Yes
Event	2002 American Control Conference - Anchorage, AK Duration: 2002 May 8 → 2002 May 10

Other

Other	2002 American Control Conference
City	Anchorage, AK
Period	02/5/8 → 02/5/10

Keywords

DIA control
H control
Initial-state uncertainties
Magnetic suspension systems

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1109/ACC.2002.1023966

Cite this

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title = "A generalized H∞ control system design attenuating initial state uncertainties",

abstract = "This paper deals with a generalized H∞ control attenuating initial-state uncertainties. An H∞ control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the infinite-horizon case, is examined. The mixed attenuation supplies H∞ controls with good transients and assures H∞ controls of robustness against initial-state uncertainty. We derive a necessary and sufficient condition of the generalized mixed attenuation problem. Furthermore we apply this proposed method to a magnetic suspension system, and evaluate attenuation property of the proposed generalized H∞ control approach.",

keywords = "DIA control, H control, Initial-state uncertainties, Magnetic suspension systems",

author = "Toru Namerikawa and Masayuki Fujita and Smith, {Roy S.} and Kenko Uchida",

year = "2002",

doi = "10.1109/ACC.2002.1023966",

language = "English",

isbn = "0780372980",

volume = "3",

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booktitle = "Proceedings of the American Control Conference",

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T1 - A generalized H∞ control system design attenuating initial state uncertainties

AU - Namerikawa, Toru

AU - Fujita, Masayuki

AU - Smith, Roy S.

AU - Uchida, Kenko

PY - 2002

Y1 - 2002

N2 - This paper deals with a generalized H∞ control attenuating initial-state uncertainties. An H∞ control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the infinite-horizon case, is examined. The mixed attenuation supplies H∞ controls with good transients and assures H∞ controls of robustness against initial-state uncertainty. We derive a necessary and sufficient condition of the generalized mixed attenuation problem. Furthermore we apply this proposed method to a magnetic suspension system, and evaluate attenuation property of the proposed generalized H∞ control approach.

AB - This paper deals with a generalized H∞ control attenuating initial-state uncertainties. An H∞ control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the infinite-horizon case, is examined. The mixed attenuation supplies H∞ controls with good transients and assures H∞ controls of robustness against initial-state uncertainty. We derive a necessary and sufficient condition of the generalized mixed attenuation problem. Furthermore we apply this proposed method to a magnetic suspension system, and evaluate attenuation property of the proposed generalized H∞ control approach.

KW - DIA control

KW - H control

KW - Initial-state uncertainties

KW - Magnetic suspension systems

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DO - 10.1109/ACC.2002.1023966

M3 - Conference contribution

AN - SCOPUS:0036346475

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SP - 2204

EP - 2209

BT - Proceedings of the American Control Conference

T2 - 2002 American Control Conference

Y2 - 8 May 2002 through 10 May 2002

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