Output Regulation of Second-Order Nonlinear Systems Subject to Unknown Control Direction Using Extremum Seeking Control

Telema HARRY; Martin GUAY; Shimin WANG

doi:10.1109/CDC49753.2023.10383565

Output Regulation of Second-Order Nonlinear Systems Subject to Unknown Control Direction Using Extremum Seeking Control

Telema HARRY
, Martin GUAY
, Shimin WANG

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

1 Citation (Scopus)

Abstract

The Nussbaum gain approach has been the standard technique in solving unknown control direction problems. In this paper, we propose control laws composed of extremum seeking control, an internal model, and a compensator signal to solve the robust practical output regulation problem of a second-order system subject to an unknown control direction. Using the Lie bracket approximation technique, we show that the closed-loop system is bounded and the origin is E-Semi-global Practical Uniform Asymptotic Stable. Finally, we illustrate the effectiveness of the proposed approach with a numerical example of a Van der Pol system.

Original language	English
Title of host publication	2023 62nd IEEE Conference on Decision and Control, CDC 2023
Publisher	IEEE
Pages	6780-6785
Number of pages	6
ISBN (Electronic)	9798350301243
ISBN (Print)	9798350301250
DOIs	https://doi.org/10.1109/CDC49753.2023.10383565
Publication status	Published - 2023
Externally published	Yes
Event	62nd IEEE Conference on Decision and Control, CDC 2023 - Singapore, Singapore Duration: 13 Dec 2023 → 15 Dec 2023

Publication series

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

Conference

Conference	62nd IEEE Conference on Decision and Control, CDC 2023
Country/Territory	Singapore
City	Singapore
Period	13/12/23 → 15/12/23

Bibliographical note

The authors would like to express their sincere gratitude to Professor Jie Huang and Professor Youfeng Su for their help in the process of writing this paper.

Access to Document

10.1109/CDC49753.2023.10383565

Cite this

@inproceedings{f3ffd08c0ad543849335ab7943765184,

title = "Output Regulation of Second-Order Nonlinear Systems Subject to Unknown Control Direction Using Extremum Seeking Control",

abstract = "The Nussbaum gain approach has been the standard technique in solving unknown control direction problems. In this paper, we propose control laws composed of extremum seeking control, an internal model, and a compensator signal to solve the robust practical output regulation problem of a second-order system subject to an unknown control direction. Using the Lie bracket approximation technique, we show that the closed-loop system is bounded and the origin is E-Semi-global Practical Uniform Asymptotic Stable. Finally, we illustrate the effectiveness of the proposed approach with a numerical example of a Van der Pol system.",

author = "Telema HARRY and Martin GUAY and Shimin WANG",

note = "The authors would like to express their sincere gratitude to Professor Jie Huang and Professor Youfeng Su for their help in the process of writing this paper.; 62nd IEEE Conference on Decision and Control, CDC 2023 ; Conference date: 13-12-2023 Through 15-12-2023",

year = "2023",

doi = "10.1109/CDC49753.2023.10383565",

language = "English",

isbn = "9798350301250",

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

publisher = "IEEE",

pages = "6780--6785",

booktitle = "2023 62nd IEEE Conference on Decision and Control, CDC 2023",

}

HARRY, T, GUAY, M & WANG, S 2023, Output Regulation of Second-Order Nonlinear Systems Subject to Unknown Control Direction Using Extremum Seeking Control. in 2023 62nd IEEE Conference on Decision and Control, CDC 2023. Proceedings of the IEEE Conference on Decision and Control, IEEE, pp. 6780-6785, 62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, Singapore, 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383565

Output Regulation of Second-Order Nonlinear Systems Subject to Unknown Control Direction Using Extremum Seeking Control. / HARRY, Telema; GUAY, Martin; WANG, Shimin.
2023 62nd IEEE Conference on Decision and Control, CDC 2023. IEEE, 2023. p. 6780-6785 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

TY - GEN

T1 - Output Regulation of Second-Order Nonlinear Systems Subject to Unknown Control Direction Using Extremum Seeking Control

AU - HARRY, Telema

AU - GUAY, Martin

AU - WANG, Shimin

N1 - The authors would like to express their sincere gratitude to Professor Jie Huang and Professor Youfeng Su for their help in the process of writing this paper.

PY - 2023

Y1 - 2023

N2 - The Nussbaum gain approach has been the standard technique in solving unknown control direction problems. In this paper, we propose control laws composed of extremum seeking control, an internal model, and a compensator signal to solve the robust practical output regulation problem of a second-order system subject to an unknown control direction. Using the Lie bracket approximation technique, we show that the closed-loop system is bounded and the origin is E-Semi-global Practical Uniform Asymptotic Stable. Finally, we illustrate the effectiveness of the proposed approach with a numerical example of a Van der Pol system.

AB - The Nussbaum gain approach has been the standard technique in solving unknown control direction problems. In this paper, we propose control laws composed of extremum seeking control, an internal model, and a compensator signal to solve the robust practical output regulation problem of a second-order system subject to an unknown control direction. Using the Lie bracket approximation technique, we show that the closed-loop system is bounded and the origin is E-Semi-global Practical Uniform Asymptotic Stable. Finally, we illustrate the effectiveness of the proposed approach with a numerical example of a Van der Pol system.

UR - https://www.scopus.com/pages/publications/85184804907

U2 - 10.1109/CDC49753.2023.10383565

DO - 10.1109/CDC49753.2023.10383565

M3 - Conference paper (refereed)

AN - SCOPUS:85184804907

SN - 9798350301250

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 6780

EP - 6785

BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023

PB - IEEE

T2 - 62nd IEEE Conference on Decision and Control, CDC 2023

Y2 - 13 December 2023 through 15 December 2023

ER -

Output Regulation of Second-Order Nonlinear Systems Subject to Unknown Control Direction Using Extremum Seeking Control

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