Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

Ania Adil; Ibrahima N'Doye; Abdelghani Hamaz; Ali Zemouche; Taous Meriem Laleg-Kirati

doi:10.1109/ICSC50472.2021.9666587

Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

Ania Adil, Ibrahima N'Doye, Abdelghani Hamaz, Ali Zemouche, Taous Meriem Laleg-Kirati

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

3 Scopus citations

Abstract

This paper proposes a prescribed-time varying high gain observer for a class of nonlinear systems. The fixed time convergence of the observer within a predefined time is shown through a Lyapunov differential inequality and a state transformation that involves a scaling function. The effectiveness of the proposed observer is illustrated through two numerical examples. Furthermore, a comparison with the standard high-gain observer and the tuning gain parameter of the scaling function is provided to demonstrate the superiority of the proposed prescribed-time observer of reducing the peaking phenomena and enhancing the estimation convergence error, respectively.

Original language	English (US)
Title of host publication	2021 9th International Conference on Systems and Control, ICSC 2021
Editors	Driss Mehdi, Mondher Farza, Mohammed M'Saad, Abdelouahab Aitouche
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	252-257
Number of pages	6
ISBN (Electronic)	9781665407823
DOIs	https://doi.org/10.1109/ICSC50472.2021.9666587
State	Published - 2021
Event	9th International Conference on Systems and Control, ICSC 2021 - Caen, France Duration: Nov 24 2021 → Nov 26 2021

Publication series

Name	2021 9th International Conference on Systems and Control, ICSC 2021

Conference

Conference	9th International Conference on Systems and Control, ICSC 2021
Country/Territory	France
City	Caen
Period	11/24/21 → 11/26/21

Bibliographical note

Funding Information:
This work has been supported by the King Abdullah University of Science and Technology (KAUST), Base Research Fund (BAS/1/1627-01-01) to Taous-Meriem Laleg-Kirati. A. Zemouche thanks the IUT Henri Poincaré de Longwy for the partial support of this work.

Publisher Copyright:
© 2021 IEEE.

Keywords

fixed-time stability
high-gain observer
nonlinear triangular systems
Prescribed-time convergence
time-varying scaling function

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization

Access to Document

10.1109/ICSC50472.2021.9666587

Cite this

Adil, A., N'Doye, I., Hamaz, A., Zemouche, A., & Laleg-Kirati, T. M. (2021). Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems. In D. Mehdi, M. Farza, M. M'Saad, & A. Aitouche (Eds.), 2021 9th International Conference on Systems and Control, ICSC 2021 (pp. 252-257). (2021 9th International Conference on Systems and Control, ICSC 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSC50472.2021.9666587

Adil, Ania ; N'Doye, Ibrahima ; Hamaz, Abdelghani et al. / Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems. 2021 9th International Conference on Systems and Control, ICSC 2021. editor / Driss Mehdi ; Mondher Farza ; Mohammed M'Saad ; Abdelouahab Aitouche. Institute of Electrical and Electronics Engineers Inc., 2021. pp. 252-257 (2021 9th International Conference on Systems and Control, ICSC 2021).

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abstract = "This paper proposes a prescribed-time varying high gain observer for a class of nonlinear systems. The fixed time convergence of the observer within a predefined time is shown through a Lyapunov differential inequality and a state transformation that involves a scaling function. The effectiveness of the proposed observer is illustrated through two numerical examples. Furthermore, a comparison with the standard high-gain observer and the tuning gain parameter of the scaling function is provided to demonstrate the superiority of the proposed prescribed-time observer of reducing the peaking phenomena and enhancing the estimation convergence error, respectively.",

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author = "Ania Adil and Ibrahima N'Doye and Abdelghani Hamaz and Ali Zemouche and Laleg-Kirati, {Taous Meriem}",

note = "Funding Information: This work has been supported by the King Abdullah University of Science and Technology (KAUST), Base Research Fund (BAS/1/1627-01-01) to Taous-Meriem Laleg-Kirati. A. Zemouche thanks the IUT Henri Poincar{\'e} de Longwy for the partial support of this work. Publisher Copyright: {\textcopyright} 2021 IEEE.; 9th International Conference on Systems and Control, ICSC 2021 ; Conference date: 24-11-2021 Through 26-11-2021",

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doi = "10.1109/ICSC50472.2021.9666587",

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series = "2021 9th International Conference on Systems and Control, ICSC 2021",

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Adil, A , N'Doye, I, Hamaz, A, Zemouche, A & Laleg-Kirati, TM 2021, Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems. in D Mehdi, M Farza, M M'Saad & A Aitouche (eds), 2021 9th International Conference on Systems and Control, ICSC 2021. 2021 9th International Conference on Systems and Control, ICSC 2021, Institute of Electrical and Electronics Engineers Inc., pp. 252-257, 9th International Conference on Systems and Control, ICSC 2021, Caen, France, 11/24/21. https://doi.org/10.1109/ICSC50472.2021.9666587

Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems. / Adil, Ania ; N'Doye, Ibrahima; Hamaz, Abdelghani et al.
2021 9th International Conference on Systems and Control, ICSC 2021. ed. / Driss Mehdi; Mondher Farza; Mohammed M'Saad; Abdelouahab Aitouche. Institute of Electrical and Electronics Engineers Inc., 2021. p. 252-257 (2021 9th International Conference on Systems and Control, ICSC 2021).

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

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AU - N'Doye, Ibrahima

AU - Hamaz, Abdelghani

AU - Zemouche, Ali

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N1 - Funding Information: This work has been supported by the King Abdullah University of Science and Technology (KAUST), Base Research Fund (BAS/1/1627-01-01) to Taous-Meriem Laleg-Kirati. A. Zemouche thanks the IUT Henri Poincaré de Longwy for the partial support of this work. Publisher Copyright: © 2021 IEEE.

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N2 - This paper proposes a prescribed-time varying high gain observer for a class of nonlinear systems. The fixed time convergence of the observer within a predefined time is shown through a Lyapunov differential inequality and a state transformation that involves a scaling function. The effectiveness of the proposed observer is illustrated through two numerical examples. Furthermore, a comparison with the standard high-gain observer and the tuning gain parameter of the scaling function is provided to demonstrate the superiority of the proposed prescribed-time observer of reducing the peaking phenomena and enhancing the estimation convergence error, respectively.

AB - This paper proposes a prescribed-time varying high gain observer for a class of nonlinear systems. The fixed time convergence of the observer within a predefined time is shown through a Lyapunov differential inequality and a state transformation that involves a scaling function. The effectiveness of the proposed observer is illustrated through two numerical examples. Furthermore, a comparison with the standard high-gain observer and the tuning gain parameter of the scaling function is provided to demonstrate the superiority of the proposed prescribed-time observer of reducing the peaking phenomena and enhancing the estimation convergence error, respectively.

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Adil A , N'Doye I, Hamaz A, Zemouche A, Laleg-Kirati TM. Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems. In Mehdi D, Farza M, M'Saad M, Aitouche A, editors, 2021 9th International Conference on Systems and Control, ICSC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. p. 252-257. (2021 9th International Conference on Systems and Control, ICSC 2021). doi: 10.1109/ICSC50472.2021.9666587

Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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