Solvability conditions for 4-block H∞ control problems with infinite and finite jω-axis zeros

Xin Xin; Tsutomu Mita; Brian Anderson

doi:10.1109/ACC.1998.707366

Solvability conditions for 4-block H^∞ control problems with infinite and finite jω-axis zeros

Xin Xin, Tsutomu Mita, Brian Anderson

School of Engineering

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

1 Citation (Scopus)

Abstract

The 4-block H^∞ control problem with infinite and finite jw-axis is discussed in this paper. Via the eigen-structures related to the infinite and finite jw-zeros, this paper extends the DGKF's approach to the H^∞ control problem without the constraints on the infinite or finite jw-axis zeros. The necessary and sufficient conditions are proposed for checking its solvability by solving two reduced-order Riccati equations and examining matrix norm conditions related to jw-axis zeros.

Original language	English
Title of host publication	Proceedings of the 1998 American Control Conference, ACC 1998
Place of Publication	Philadelphia
Pages	1965-1969
DOIs	https://doi.org/10.1109/ACC.1998.707366
Publication status	Published - 1998
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

Access to Document

10.1109/ACC.1998.707366

Cite this

@inproceedings{a66698cbe51d4f52bcc50445e8aadd95,

title = "Solvability conditions for 4-block H∞ control problems with infinite and finite jω-axis zeros",

abstract = "The 4-block H∞ control problem with infinite and finite jw-axis is discussed in this paper. Via the eigen-structures related to the infinite and finite jw-zeros, this paper extends the DGKF's approach to the H∞ control problem without the constraints on the infinite or finite jw-axis zeros. The necessary and sufficient conditions are proposed for checking its solvability by solving two reduced-order Riccati equations and examining matrix norm conditions related to jw-axis zeros.",

author = "Xin Xin and Tsutomu Mita and Brian Anderson",

year = "1998",

doi = "10.1109/ACC.1998.707366",

language = "English",

isbn = "0780345304",

series = "Proceedings of the American Control Conference",

pages = "1965--1969",

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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Xin, X, Mita, T & Anderson, B 1998, Solvability conditions for 4-block H^∞ control problems with infinite and finite jω-axis zeros. in Proceedings of the 1998 American Control Conference, ACC 1998. Proceedings of the American Control Conference, vol. 3, Philadelphia, pp. 1965-1969, 1998 American Control Conference, ACC 1998, Philadelphia, PA, United States, 24/06/98. https://doi.org/10.1109/ACC.1998.707366

Solvability conditions for 4-block H^∞ control problems with infinite and finite jω-axis zeros. / Xin, Xin; Mita, Tsutomu; Anderson, Brian.
Proceedings of the 1998 American Control Conference, ACC 1998. Philadelphia, 1998. p. 1965-1969 (Proceedings of the American Control Conference; Vol. 3).

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

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