Existence conditions for a nonstandard H∞ problem

Jeremy B. Matson; Tsutomu Mita; Brian D.O. Anderson

doi:10.23919/acc.1993.4792930

Existence conditions for a nonstandard H_∞ problem

Jeremy B. Matson^*, Tsutomu Mita, Brian D.O. Anderson

^*Corresponding author for this work

School of Engineering

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

3 Citations (Scopus)

Abstract

Necessary and sufficient conditions are derived for the existence of H_∞ controllers for a class of linear, time-invariant generalized plants which is excluded by the assumptions generally made in the solution of H_∞ problems. The assumptions relaxed in this work concern the comparative dimensions of the plant's input and output spaces.

Original language	English
Title of host publication	American Control Conference
Publisher	Publ by IEEE
Pages	612-616
Number of pages	5
ISBN (Print)	0780308611, 9780780308619
DOIs	https://doi.org/10.23919/acc.1993.4792930
Publication status	Published - 1993
Event	Proceedings of the 1993 American Control Conference Part 3 (of 3) - San Francisco, CA, USA Duration: 2 Jun 1993 → 4 Jun 1993

Publication series

Name	American Control Conference

Conference

Conference	Proceedings of the 1993 American Control Conference Part 3 (of 3)
City	San Francisco, CA, USA
Period	2/06/93 → 4/06/93

Access to Document

10.23919/acc.1993.4792930

Cite this

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title = "Existence conditions for a nonstandard H∞ problem",

abstract = "Necessary and sufficient conditions are derived for the existence of H∞ controllers for a class of linear, time-invariant generalized plants which is excluded by the assumptions generally made in the solution of H∞ problems. The assumptions relaxed in this work concern the comparative dimensions of the plant's input and output spaces.",

author = "Matson, {Jeremy B.} and Tsutomu Mita and Anderson, {Brian D.O.}",

year = "1993",

doi = "10.23919/acc.1993.4792930",

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series = "American Control Conference",

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note = "Proceedings of the 1993 American Control Conference Part 3 (of 3) ; Conference date: 02-06-1993 Through 04-06-1993",

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AU - Matson, Jeremy B.

AU - Mita, Tsutomu

AU - Anderson, Brian D.O.

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N2 - Necessary and sufficient conditions are derived for the existence of H∞ controllers for a class of linear, time-invariant generalized plants which is excluded by the assumptions generally made in the solution of H∞ problems. The assumptions relaxed in this work concern the comparative dimensions of the plant's input and output spaces.

AB - Necessary and sufficient conditions are derived for the existence of H∞ controllers for a class of linear, time-invariant generalized plants which is excluded by the assumptions generally made in the solution of H∞ problems. The assumptions relaxed in this work concern the comparative dimensions of the plant's input and output spaces.

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U2 - 10.23919/acc.1993.4792930

DO - 10.23919/acc.1993.4792930

M3 - Conference contribution

AN - SCOPUS:0027844327

SN - 0780308611

SN - 9780780308619

T3 - American Control Conference

SP - 612

EP - 616

BT - American Control Conference

PB - Publ by IEEE

T2 - Proceedings of the 1993 American Control Conference Part 3 (of 3)

Y2 - 2 June 1993 through 4 June 1993

ER -