H∞ fixed-lag smoothing for descriptor systems

Haoqian Wang; Huanshui Zhang; Guangren Duan

doi:10.1109/ACC.2005.1470418

H_∞ fixed-lag smoothing for descriptor systems

Haoqian Wang^*
, Huanshui Zhang
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology Shenzhen

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

1 Scopus citations

Abstract

In this paper, we study the finite horizon H_∞ fixed-lag smoothing problem for linear descriptor systems. The key approach applied for deriving the H_∞ fixed-lag smoother is the re-organization innovation analysis in Krein space. Under the Krein space, the H _∞ fixed-lag smoothing is converted into an H₂ estimation problem for the system with current and delayed measurements. By using innovation re-organization approach, the H₂ estimation with delayed measurements is transformed into a problem of delay-free measurements and thus a simple solution to H_∞ smoothing is given.

Original language	English
Title of host publication	Proceedings of the 2005 American Control Conference, ACC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2919-2924
Number of pages	6
ISBN (Print)	0780390989
DOIs	https://doi.org/10.1109/ACC.2005.1470418
State	Published - 2005
Event	2005 American Control Conference, ACC 2005 - Portland, OR, United States Duration: 8 Jun 2005 → 10 Jun 2005

Publication series

Name	Proceedings of the American Control Conference
Volume	4
ISSN (Print)	0743-1619

Conference

Conference	2005 American Control Conference, ACC 2005
Country/Territory	United States
City	Portland, OR
Period	8/06/05 → 10/06/05

Access to Document

10.1109/ACC.2005.1470418

Cite this

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title = "H∞ fixed-lag smoothing for descriptor systems",

abstract = "In this paper, we study the finite horizon H∞ fixed-lag smoothing problem for linear descriptor systems. The key approach applied for deriving the H∞ fixed-lag smoother is the re-organization innovation analysis in Krein space. Under the Krein space, the H ∞ fixed-lag smoothing is converted into an H2 estimation problem for the system with current and delayed measurements. By using innovation re-organization approach, the H2 estimation with delayed measurements is transformed into a problem of delay-free measurements and thus a simple solution to H∞ smoothing is given.",

author = "Haoqian Wang and Huanshui Zhang and Guangren Duan",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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note = "2005 American Control Conference, ACC 2005 ; Conference date: 08-06-2005 Through 10-06-2005",

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Wang, H, Zhang, H & Duan, G 2005, H_∞ fixed-lag smoothing for descriptor systems. in Proceedings of the 2005 American Control Conference, ACC., ThC02.6, Proceedings of the American Control Conference, vol. 4, Institute of Electrical and Electronics Engineers Inc., pp. 2919-2924, 2005 American Control Conference, ACC 2005, Portland, OR, United States, 8/06/05. https://doi.org/10.1109/ACC.2005.1470418

H_∞ fixed-lag smoothing for descriptor systems. / Wang, Haoqian; Zhang, Huanshui; Duan, Guangren.
Proceedings of the 2005 American Control Conference, ACC. Institute of Electrical and Electronics Engineers Inc., 2005. p. 2919-2924 ThC02.6 (Proceedings of the American Control Conference; Vol. 4).

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

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AB - In this paper, we study the finite horizon H∞ fixed-lag smoothing problem for linear descriptor systems. The key approach applied for deriving the H∞ fixed-lag smoother is the re-organization innovation analysis in Krein space. Under the Krein space, the H ∞ fixed-lag smoothing is converted into an H2 estimation problem for the system with current and delayed measurements. By using innovation re-organization approach, the H2 estimation with delayed measurements is transformed into a problem of delay-free measurements and thus a simple solution to H∞ smoothing is given.

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