Parametric approach for the normal luenberger function observer design in second-order linear systems

Bin Zhou; Guang Ren Duan

doi:10.1109/cdc.2006.377465

Parametric approach for the normal luenberger function observer design in second-order linear systems

Bin Zhou^*
, Guang Ren Duan

^*Corresponding author for this work

School of Astronautics

IEEE

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

14 Scopus citations

Abstract

In this paper, the normal Luenberger function observer design for second-order linear systems is considered. It is shown that the main procedure of the design is to solve a so-called second-order generalized Sylvester-observer matrix equation. Based on an explicit parametric solution to this equation, a parametric solution to the normal Luenberger function observer design problem is given. The design degrees of freedom presented by explicit parameters can be further utilized to achieve some additional design requirements.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1423-1428
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.377465
State	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	13/12/06 → 15/12/06

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10.1109/cdc.2006.377465

Cite this

Zhou, B., & Duan, G. R. (2006). Parametric approach for the normal luenberger function observer design in second-order linear systems. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 1423-1428). Article 4177477 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377465

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title = "Parametric approach for the normal luenberger function observer design in second-order linear systems",

abstract = "In this paper, the normal Luenberger function observer design for second-order linear systems is considered. It is shown that the main procedure of the design is to solve a so-called second-order generalized Sylvester-observer matrix equation. Based on an explicit parametric solution to this equation, a parametric solution to the normal Luenberger function observer design problem is given. The design degrees of freedom presented by explicit parameters can be further utilized to achieve some additional design requirements.",

author = "Bin Zhou and Duan, \{Guang Ren\}",

year = "2006",

doi = "10.1109/cdc.2006.377465",

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note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

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Zhou, B & Duan, GR 2006, Parametric approach for the normal luenberger function observer design in second-order linear systems. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177477, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1423-1428, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06. https://doi.org/10.1109/cdc.2006.377465

Parametric approach for the normal luenberger function observer design in second-order linear systems. / Zhou, Bin ; Duan, Guang Ren.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 1423-1428 4177477 (Proceedings of the IEEE Conference on Decision and Control).

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

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AB - In this paper, the normal Luenberger function observer design for second-order linear systems is considered. It is shown that the main procedure of the design is to solve a so-called second-order generalized Sylvester-observer matrix equation. Based on an explicit parametric solution to this equation, a parametric solution to the normal Luenberger function observer design problem is given. The design degrees of freedom presented by explicit parameters can be further utilized to achieve some additional design requirements.

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Zhou B , Duan GR. Parametric approach for the normal luenberger function observer design in second-order linear systems. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc. 2006. p. 1423-1428. 4177477. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/cdc.2006.377465

Parametric approach for the normal luenberger function observer design in second-order linear systems

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