LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems

H. Arezki; D. Bouhadjra; K. Chaib-Draa; A. Zemouche; I. N'Doye; T. M. Laleg-Kirati

doi:10.1109/CDC45484.2021.9683758

LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems

H. Arezki, D. Bouhadjra, K. Chaib-Draa, A. Zemouche, I. N'Doye, T. M. Laleg-Kirati

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

5 Scopus citations

Abstract

This paper deals with the observer design for a class of nonlinear Lipschitz systems via Linear Matrix Inequalities (LMIs) based approach. Using some mathematical matrix decompositions, general LMI conditions ensuring the exponential convergence of the estimation error are provided. Thanks to linear and/or nonlinear transformations, these LMIs are enhanced from feasibility viewpoint.

Original language	English (US)
Title of host publication	60th IEEE Conference on Decision and Control, CDC 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6151-6155
Number of pages	5
ISBN (Electronic)	9781665436595
DOIs	https://doi.org/10.1109/CDC45484.2021.9683758
State	Published - 2021
Event	60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States Duration: Dec 13 2021 → Dec 17 2021

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2021-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	60th IEEE Conference on Decision and Control, CDC 2021
Country/Territory	United States
City	Austin
Period	12/13/21 → 12/17/21

Keywords

Lipschitz systems
LMIs
Observers design

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC45484.2021.9683758

Cite this

Arezki, H., Bouhadjra, D., Chaib-Draa, K., Zemouche, A., N'Doye, I., & Laleg-Kirati, T. M. (2021). LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems. In 60th IEEE Conference on Decision and Control, CDC 2021 (pp. 6151-6155). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC45484.2021.9683758

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title = "LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems",

abstract = "This paper deals with the observer design for a class of nonlinear Lipschitz systems via Linear Matrix Inequalities (LMIs) based approach. Using some mathematical matrix decompositions, general LMI conditions ensuring the exponential convergence of the estimation error are provided. Thanks to linear and/or nonlinear transformations, these LMIs are enhanced from feasibility viewpoint.",

keywords = "Lipschitz systems, LMIs, Observers design",

author = "H. Arezki and D. Bouhadjra and K. Chaib-Draa and A. Zemouche and I. N'Doye and Laleg-Kirati, {T. M.}",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 60th IEEE Conference on Decision and Control, CDC 2021 ; Conference date: 13-12-2021 Through 17-12-2021",

year = "2021",

doi = "10.1109/CDC45484.2021.9683758",

language = "English (US)",

series = "Proceedings of the IEEE Conference on Decision and Control",

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Arezki, H, Bouhadjra, D, Chaib-Draa, K, Zemouche, A, N'Doye, I & Laleg-Kirati, TM 2021, LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems. in 60th IEEE Conference on Decision and Control, CDC 2021. Proceedings of the IEEE Conference on Decision and Control, vol. 2021-December, Institute of Electrical and Electronics Engineers Inc., pp. 6151-6155, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, United States, 12/13/21. https://doi.org/10.1109/CDC45484.2021.9683758

LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems. / Arezki, H.; Bouhadjra, D.; Chaib-Draa, K. et al.
60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. p. 6151-6155 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December).

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

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AU - N'Doye, I.

AU - Laleg-Kirati, T. M.

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AB - This paper deals with the observer design for a class of nonlinear Lipschitz systems via Linear Matrix Inequalities (LMIs) based approach. Using some mathematical matrix decompositions, general LMI conditions ensuring the exponential convergence of the estimation error are provided. Thanks to linear and/or nonlinear transformations, these LMIs are enhanced from feasibility viewpoint.

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T2 - 60th IEEE Conference on Decision and Control, CDC 2021

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Arezki H, Bouhadjra D, Chaib-Draa K, Zemouche A, N'Doye I, Laleg-Kirati TM. LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems. In 60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. p. 6151-6155. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC45484.2021.9683758

LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems

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