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

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

2 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
DOIs	https://doi.org/10.1109/ACC.2002.1023966
Publication status	Published - 2002 Sept 10
Externally published	Yes
Event	2002 American Control Conference - Anchorage, AK, United States Duration: 2002 May 8 → 2002 May 10

Publication series

Name	Proceedings of the American Control Conference
Volume	3
ISSN (Print)	0743-1619

Other

Other	2002 American Control Conference
Country/Territory	United States
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

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2002.1023966

Cite this

Namerikawa, T, Fujita, M, Smith, RS & Uchida, K 2002, A generalized H_∞ control system design attenuating initial state uncertainties. in Proceedings of the American Control Conference. Proceedings of the American Control Conference, vol. 3, pp. 2204-2209, 2002 American Control Conference, Anchorage, AK, United States, 02/5/8. https://doi.org/10.1109/ACC.2002.1023966

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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",

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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.

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