On the continuity properties of the H∞ optimal gain

G. X. Wang; Z. He

On the continuity properties of the H_∞ optimal gain

G. X. Wang^*
, Z. He

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The discontinuity of ν_opt as presented by Gahinet is analysed in this paper. It is pointed out that this phenomenon is caused by the different existing conditions for H_∞ controllers and/or the possibility of pole/zero cancellation in the design. It is also pointed out that the computing method itself can not change the essential difficulties in design. For singular H_∞ problem, a dedicated approach is still needed.

Original language	English
Pages (from-to)	98-102
Number of pages	5
Journal	Zidonghua Xuebao/Acta Automatica Sinica
Volume	27
Issue number	1
State	Published - Jan 2001

Keywords

Continuity property
H optimal gain
Singular H problem

Cite this

@article{41c7c7150b8547cc8dac32a7d5bc9f0d,

title = "On the continuity properties of the H∞ optimal gain",

abstract = "The discontinuity of νopt as presented by Gahinet is analysed in this paper. It is pointed out that this phenomenon is caused by the different existing conditions for H∞ controllers and/or the possibility of pole/zero cancellation in the design. It is also pointed out that the computing method itself can not change the essential difficulties in design. For singular H∞ problem, a dedicated approach is still needed.",

keywords = "Continuity property, H optimal gain, Singular H problem",

author = "Wang, \{G. X.\} and Z. He",

year = "2001",

month = jan,

language = "英语",

volume = "27",

pages = "98--102",

journal = "Zidonghua Xuebao/Acta Automatica Sinica",

issn = "0254-4156",

publisher = "Science Press ",

number = "1",

}

TY - JOUR

T1 - On the continuity properties of the H∞ optimal gain

AU - Wang, G. X.

AU - He, Z.

PY - 2001/1

Y1 - 2001/1

N2 - The discontinuity of νopt as presented by Gahinet is analysed in this paper. It is pointed out that this phenomenon is caused by the different existing conditions for H∞ controllers and/or the possibility of pole/zero cancellation in the design. It is also pointed out that the computing method itself can not change the essential difficulties in design. For singular H∞ problem, a dedicated approach is still needed.

AB - The discontinuity of νopt as presented by Gahinet is analysed in this paper. It is pointed out that this phenomenon is caused by the different existing conditions for H∞ controllers and/or the possibility of pole/zero cancellation in the design. It is also pointed out that the computing method itself can not change the essential difficulties in design. For singular H∞ problem, a dedicated approach is still needed.

KW - Continuity property

KW - H optimal gain

KW - Singular H problem

UR - https://www.scopus.com/pages/publications/0034872077

M3 - 文章

AN - SCOPUS:0034872077

SN - 0254-4156

VL - 27

SP - 98

EP - 102

JO - Zidonghua Xuebao/Acta Automatica Sinica

JF - Zidonghua Xuebao/Acta Automatica Sinica

IS - 1

ER -

On the continuity properties of the H∞ optimal gain

Abstract

Keywords

Other files and links

Cite this

On the continuity properties of the H_∞ optimal gain