Existence conditions of discrete-time strictly proper H∞ controllers

Guo Lei; Chun Bo Feng; Xin Xin; Fei Shumin

doi:10.1109/ACC.1998.707370

Existence conditions of discrete-time strictly proper H_∞ controllers

Guo Lei
, Chun Bo Feng
, Xin Xin
, Fei Shumin

Southeast University, Nanjing

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

2 Scopus citations

Abstract

This papei presents sufficient and necessary conditions for discrete-time H_∞ control problems with strictly proper or FDFM controllers based on LMI approach. It is shown that there exists a strictly proper or FDFM H_∞ controllers if and only if the standard 3 LMIs condition as well as an additional dynamic one are solvable. The main results are more simple than some previous ones without any additional standard assumptions on the plants.

Original language	English
Title of host publication	Proceedings of the 1998 American Control Conference, ACC 1998
Pages	1985-1986
Number of pages	2
DOIs	https://doi.org/10.1109/ACC.1998.707370
State	Published - 1998
Externally published	Yes
Event	1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: 24 Jun 1998 → 26 Jun 1998

Publication series

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

Conference

Conference	1998 American Control Conference, ACC 1998
Country/Territory	United States
City	Philadelphia, PA
Period	24/06/98 → 26/06/98

Keywords

H control
LMI
Robust control

Access to Document

10.1109/ACC.1998.707370

Cite this

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title = "Existence conditions of discrete-time strictly proper H∞ controllers",

abstract = "This papei presents sufficient and necessary conditions for discrete-time H∞ control problems with strictly proper or FDFM controllers based on LMI approach. It is shown that there exists a strictly proper or FDFM H∞ controllers if and only if the standard 3 LMIs condition as well as an additional dynamic one are solvable. The main results are more simple than some previous ones without any additional standard assumptions on the plants.",

keywords = "H control, LMI, Robust control",

author = "Guo Lei and Feng, \{Chun Bo\} and Xin Xin and Fei Shumin",

year = "1998",

doi = "10.1109/ACC.1998.707370",

language = "英语",

isbn = "0780345304",

series = "Proceedings of the American Control Conference",

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booktitle = "Proceedings of the 1998 American Control Conference, ACC 1998",

note = "1998 American Control Conference, ACC 1998 ; Conference date: 24-06-1998 Through 26-06-1998",

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Lei, G, Feng, CB, Xin, X & Shumin, F 1998, Existence conditions of discrete-time strictly proper H_∞ controllers. in Proceedings of the 1998 American Control Conference, ACC 1998., 707370, Proceedings of the American Control Conference, vol. 3, pp. 1985-1986, 1998 American Control Conference, ACC 1998, Philadelphia, PA, United States, 24/06/98. https://doi.org/10.1109/ACC.1998.707370

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T1 - Existence conditions of discrete-time strictly proper H∞ controllers

AU - Lei, Guo

AU - Feng, Chun Bo

AU - Xin, Xin

AU - Shumin, Fei

PY - 1998

Y1 - 1998

N2 - This papei presents sufficient and necessary conditions for discrete-time H∞ control problems with strictly proper or FDFM controllers based on LMI approach. It is shown that there exists a strictly proper or FDFM H∞ controllers if and only if the standard 3 LMIs condition as well as an additional dynamic one are solvable. The main results are more simple than some previous ones without any additional standard assumptions on the plants.

AB - This papei presents sufficient and necessary conditions for discrete-time H∞ control problems with strictly proper or FDFM controllers based on LMI approach. It is shown that there exists a strictly proper or FDFM H∞ controllers if and only if the standard 3 LMIs condition as well as an additional dynamic one are solvable. The main results are more simple than some previous ones without any additional standard assumptions on the plants.

KW - H control

KW - LMI

KW - Robust control

UR - https://www.scopus.com/pages/publications/0005618333

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DO - 10.1109/ACC.1998.707370

M3 - 会议稿件

AN - SCOPUS:0005618333

SN - 0780345304

SN - 9780780345300

T3 - Proceedings of the American Control Conference

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EP - 1986

BT - Proceedings of the 1998 American Control Conference, ACC 1998

T2 - 1998 American Control Conference, ACC 1998

Y2 - 24 June 1998 through 26 June 1998

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