Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations

Fu Ming Li; Guang Ren Duan

doi:10.1109/ICMLC.2006.259101

Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations

Fu Ming Li^*
, Guang Ren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

Abstract

The design of robust fault detection observers for uncertain time-delay systems with nonlinear perturbations is considered in this paper. By using the H_∞ norm and H_{_} index optimization techniques and the LMI approach, a sufficient condition is proposed for the design of RFDO. This design enhances the fault detection and attenuates the effects due to unknown inputs and nonlinear perturbations. Iterative LMI algorithms are given. We also study the RFDO design problem over finite frequency range in which case no full column rank constraint is required on D for a system (A,B,C,D). An illustrative example is given to show the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2006 International Conference on Machine Learning and Cybernetics
Pages	391-395
Number of pages	5
DOIs	https://doi.org/10.1109/ICMLC.2006.259101
State	Published - 2006
Event	2006 International Conference on Machine Learning and Cybernetics - Dalian, China Duration: 13 Aug 2006 → 16 Aug 2006

Publication series

Name	Proceedings of the 2006 International Conference on Machine Learning and Cybernetics
Volume	2006

Conference

Conference	2006 International Conference on Machine Learning and Cybernetics
Country/Territory	China
City	Dalian
Period	13/08/06 → 16/08/06

Keywords

Fault detection observers
LMI
Nonlinear perturbations
Residual
Time-delay systems
Unknown inputs

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10.1109/ICMLC.2006.259101

Cite this

Li, F. M., & Duan, G. R. (2006). Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations. In Proceedings of the 2006 International Conference on Machine Learning and Cybernetics (pp. 391-395). Article 4028095 (Proceedings of the 2006 International Conference on Machine Learning and Cybernetics; Vol. 2006). https://doi.org/10.1109/ICMLC.2006.259101

@inproceedings{a603b0a993454cb6b21c76bb6402b631,

title = "Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations",

abstract = "The design of robust fault detection observers for uncertain time-delay systems with nonlinear perturbations is considered in this paper. By using the H∞ norm and H\_ index optimization techniques and the LMI approach, a sufficient condition is proposed for the design of RFDO. This design enhances the fault detection and attenuates the effects due to unknown inputs and nonlinear perturbations. Iterative LMI algorithms are given. We also study the RFDO design problem over finite frequency range in which case no full column rank constraint is required on D for a system (A,B,C,D). An illustrative example is given to show the effectiveness of the proposed method.",

keywords = "Fault detection observers, LMI, Nonlinear perturbations, Residual, Time-delay systems, Unknown inputs",

author = "Li, \{Fu Ming\} and Duan, \{Guang Ren\}",

year = "2006",

doi = "10.1109/ICMLC.2006.259101",

language = "英语",

isbn = "1424400619",

series = "Proceedings of the 2006 International Conference on Machine Learning and Cybernetics",

pages = "391--395",

booktitle = "Proceedings of the 2006 International Conference on Machine Learning and Cybernetics",

note = "2006 International Conference on Machine Learning and Cybernetics ; Conference date: 13-08-2006 Through 16-08-2006",

}

Li, FM & Duan, GR 2006, Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations. in Proceedings of the 2006 International Conference on Machine Learning and Cybernetics., 4028095, Proceedings of the 2006 International Conference on Machine Learning and Cybernetics, vol. 2006, pp. 391-395, 2006 International Conference on Machine Learning and Cybernetics, Dalian, China, 13/08/06. https://doi.org/10.1109/ICMLC.2006.259101

Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations. / Li, Fu Ming; Duan, Guang Ren.
Proceedings of the 2006 International Conference on Machine Learning and Cybernetics. 2006. p. 391-395 4028095 (Proceedings of the 2006 International Conference on Machine Learning and Cybernetics; Vol. 2006).

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

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T1 - Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations

AU - Li, Fu Ming

AU - Duan, Guang Ren

PY - 2006

Y1 - 2006

N2 - The design of robust fault detection observers for uncertain time-delay systems with nonlinear perturbations is considered in this paper. By using the H∞ norm and H_ index optimization techniques and the LMI approach, a sufficient condition is proposed for the design of RFDO. This design enhances the fault detection and attenuates the effects due to unknown inputs and nonlinear perturbations. Iterative LMI algorithms are given. We also study the RFDO design problem over finite frequency range in which case no full column rank constraint is required on D for a system (A,B,C,D). An illustrative example is given to show the effectiveness of the proposed method.

AB - The design of robust fault detection observers for uncertain time-delay systems with nonlinear perturbations is considered in this paper. By using the H∞ norm and H_ index optimization techniques and the LMI approach, a sufficient condition is proposed for the design of RFDO. This design enhances the fault detection and attenuates the effects due to unknown inputs and nonlinear perturbations. Iterative LMI algorithms are given. We also study the RFDO design problem over finite frequency range in which case no full column rank constraint is required on D for a system (A,B,C,D). An illustrative example is given to show the effectiveness of the proposed method.

KW - Fault detection observers

KW - LMI

KW - Nonlinear perturbations

KW - Residual

KW - Time-delay systems

KW - Unknown inputs

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DO - 10.1109/ICMLC.2006.259101

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SN - 1424400619

SN - 9781424400614

T3 - Proceedings of the 2006 International Conference on Machine Learning and Cybernetics

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BT - Proceedings of the 2006 International Conference on Machine Learning and Cybernetics

T2 - 2006 International Conference on Machine Learning and Cybernetics

Y2 - 13 August 2006 through 16 August 2006

ER -

Iterative LMI approach to RFDO for uncertain time-delay systems with nonlinear perturbations

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Keywords

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