Frequency domain solution of the H∞ problem for descriptor systems

Huibert Kwakernaak

doi:10.1007/BFb0109737

Frequency domain solution of the H∞ problem for descriptor systems

Huibert Kwakernaak

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

Abstract

The standard H∞ problem for descriptor systems is solved by frequency domain techniques relying on spectral factorization. An algorithm of Clements for the spectral factorization of rational matrices is adapted to the descriptor problem. It leads to a compact and efficient solution that involves transforming two suitable matrix pencils to Clements form.

Original language	English
Title of host publication	Learning, Control and Hybrid Systems
Subtitle of host publication	Festschrift in honor of Bruce Allen Francis and Mathukumalli Vidyasagar on the occasion of their 50th birthdays
Editors	Yutaka Yamamoto, Shinji Hara
Place of Publication	London, U.K.
Publisher	Springer
Pages	317-336
Number of pages	20
ISBN (Electronic)	978-1-84628-533-2
ISBN (Print)	978-1-85233-076-7
DOIs	https://doi.org/10.1007/BFb0109737
Publication status	Published - 1998

Publication series

Name	Lecture Notes in Control and Information Sciences
Publisher	Springer
Volume	241
ISSN (Print)	0170-8643
ISSN (Electronic)	1610-7411

Keywords

n/a OA procedure

Access to Document

10.1007/BFb0109737

Cite this

Kwakernaak, H. (1998). Frequency domain solution of the H∞ problem for descriptor systems. In Y. Yamamoto, & S. Hara (Eds.), Learning, Control and Hybrid Systems: Festschrift in honor of Bruce Allen Francis and Mathukumalli Vidyasagar on the occasion of their 50th birthdays (pp. 317-336). (Lecture Notes in Control and Information Sciences; Vol. 241). Springer. https://doi.org/10.1007/BFb0109737

Kwakernaak, Huibert. / Frequency domain solution of the H∞ problem for descriptor systems. Learning, Control and Hybrid Systems: Festschrift in honor of Bruce Allen Francis and Mathukumalli Vidyasagar on the occasion of their 50th birthdays. editor / Yutaka Yamamoto ; Shinji Hara. London, U.K. : Springer, 1998. pp. 317-336 (Lecture Notes in Control and Information Sciences).

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title = "Frequency domain solution of the H∞ problem for descriptor systems",

abstract = "The standard H∞ problem for descriptor systems is solved by frequency domain techniques relying on spectral factorization. An algorithm of Clements for the spectral factorization of rational matrices is adapted to the descriptor problem. It leads to a compact and efficient solution that involves transforming two suitable matrix pencils to Clements form.",

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author = "Huibert Kwakernaak",

year = "1998",

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language = "English",

isbn = "978-1-85233-076-7",

series = "Lecture Notes in Control and Information Sciences",

publisher = "Springer",

pages = "317--336",

editor = "Yutaka Yamamoto and Shinji Hara",

booktitle = "Learning, Control and Hybrid Systems",

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}

Kwakernaak, H 1998, Frequency domain solution of the H∞ problem for descriptor systems. in Y Yamamoto & S Hara (eds), Learning, Control and Hybrid Systems: Festschrift in honor of Bruce Allen Francis and Mathukumalli Vidyasagar on the occasion of their 50th birthdays. Lecture Notes in Control and Information Sciences, vol. 241, Springer, London, U.K., pp. 317-336. https://doi.org/10.1007/BFb0109737

Frequency domain solution of the H∞ problem for descriptor systems. / Kwakernaak, Huibert.
Learning, Control and Hybrid Systems: Festschrift in honor of Bruce Allen Francis and Mathukumalli Vidyasagar on the occasion of their 50th birthdays. ed. / Yutaka Yamamoto; Shinji Hara. London, U.K.: Springer, 1998. p. 317-336 (Lecture Notes in Control and Information Sciences; Vol. 241).

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

TY - CHAP

T1 - Frequency domain solution of the H∞ problem for descriptor systems

AU - Kwakernaak, Huibert

PY - 1998

Y1 - 1998

N2 - The standard H∞ problem for descriptor systems is solved by frequency domain techniques relying on spectral factorization. An algorithm of Clements for the spectral factorization of rational matrices is adapted to the descriptor problem. It leads to a compact and efficient solution that involves transforming two suitable matrix pencils to Clements form.

AB - The standard H∞ problem for descriptor systems is solved by frequency domain techniques relying on spectral factorization. An algorithm of Clements for the spectral factorization of rational matrices is adapted to the descriptor problem. It leads to a compact and efficient solution that involves transforming two suitable matrix pencils to Clements form.

KW - n/a OA procedure

U2 - 10.1007/BFb0109737

DO - 10.1007/BFb0109737

M3 - Chapter

SN - 978-1-85233-076-7

T3 - Lecture Notes in Control and Information Sciences

SP - 317

EP - 336

BT - Learning, Control and Hybrid Systems

A2 - Yamamoto, Yutaka

A2 - Hara, Shinji

PB - Springer

CY - London, U.K.

ER -

Kwakernaak H. Frequency domain solution of the H∞ problem for descriptor systems. In Yamamoto Y, Hara S, editors, Learning, Control and Hybrid Systems: Festschrift in honor of Bruce Allen Francis and Mathukumalli Vidyasagar on the occasion of their 50th birthdays. London, U.K.: Springer. 1998. p. 317-336. (Lecture Notes in Control and Information Sciences). doi: 10.1007/BFb0109737

Frequency domain solution of the H∞ problem for descriptor systems

Abstract

Publication series

Keywords

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Cite this