H∞ control of systems with a single delay via reduction to a one-block problem

Gjerrit Meinsma; Leonid Mirkin; Qing-Chang Zhong

doi:10.1109/CDC.2002.1184410

H∞ control of systems with a single delay via reduction to a one-block problem

Gjerrit Meinsma, Leonid Mirkin, Qing-Chang Zhong

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

4 Citations (Scopus)

41 Downloads (Pure)

Abstract

The standard (4-block) H∞ control problem for systems with a single loop delay is studied. A simple procedure of the reduction of the problem to an equivalent one-block problem having particularly simple structure is proposed. The one-block problem is then solved by the J-spectral factorization approach, resulting in the so-called dead-time compensator (DTC) form of the controller. The advantages of the proposed procedure are its simplicity, intuitively clear derivation of the DTC form of the H∞ controller, and extensibility to the multiple delay case.

Original language	English
Title of host publication	Proceedings of the 41st IEEE Conference on Decision and Control, 2002
Place of Publication	Las Vegas, Nevada, U.S.A
Publisher	IEEE
Pages	3458-3463
Number of pages	6
ISBN (Print)	0780375173
DOIs	https://doi.org/10.1109/CDC.2002.1184410
Publication status	Published - 10 Dec 2002
Event	41st IEEE Conference on Decision and Control, CDC 2002 - Las Vegas, United States Duration: 10 Dec 2002 → 13 Dec 2002 Conference number: 41

Publication series

Name
Publisher	IEEE
Volume	3

Conference

Conference	41st IEEE Conference on Decision and Control, CDC 2002
Abbreviated title	CDC
Country	United States
City	Las Vegas
Period	10/12/02 → 13/12/02

Keywords

IR-44925
METIS-210851

Access to Document

10.1109/CDC.2002.1184410

single_delay_-_meinsma
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abstract = "The standard (4-block) H∞ control problem for systems with a single loop delay is studied. A simple procedure of the reduction of the problem to an equivalent one-block problem having particularly simple structure is proposed. The one-block problem is then solved by the J-spectral factorization approach, resulting in the so-called dead-time compensator (DTC) form of the controller. The advantages of the proposed procedure are its simplicity, intuitively clear derivation of the DTC form of the H∞ controller, and extensibility to the multiple delay case.",

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Meinsma, G, Mirkin, L & Zhong, Q-C 2002, H∞ control of systems with a single delay via reduction to a one-block problem. in Proceedings of the 41st IEEE Conference on Decision and Control, 2002. IEEE, Las Vegas, Nevada, U.S.A, pp. 3458-3463, 41st IEEE Conference on Decision and Control, CDC 2002, Las Vegas, United States, 10/12/02. https://doi.org/10.1109/CDC.2002.1184410

H∞ control of systems with a single delay via reduction to a one-block problem. / Meinsma, Gjerrit; Mirkin, Leonid; Zhong, Qing-Chang.

Proceedings of the 41st IEEE Conference on Decision and Control, 2002. Las Vegas, Nevada, U.S.A : IEEE, 2002. p. 3458-3463.

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

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N2 - The standard (4-block) H∞ control problem for systems with a single loop delay is studied. A simple procedure of the reduction of the problem to an equivalent one-block problem having particularly simple structure is proposed. The one-block problem is then solved by the J-spectral factorization approach, resulting in the so-called dead-time compensator (DTC) form of the controller. The advantages of the proposed procedure are its simplicity, intuitively clear derivation of the DTC form of the H∞ controller, and extensibility to the multiple delay case.

AB - The standard (4-block) H∞ control problem for systems with a single loop delay is studied. A simple procedure of the reduction of the problem to an equivalent one-block problem having particularly simple structure is proposed. The one-block problem is then solved by the J-spectral factorization approach, resulting in the so-called dead-time compensator (DTC) form of the controller. The advantages of the proposed procedure are its simplicity, intuitively clear derivation of the DTC form of the H∞ controller, and extensibility to the multiple delay case.

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