Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance

Xiao Hui Wu; Jun Min Wang

doi:10.1109/CCDC55256.2022.10034058

Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance

Xiao Hui Wu^*
, Jun Min Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

1 Citation (Scopus)

Abstract

In this paper, we are concerned with the output tracking problem for a hybrid wave-ODE system coupling an elastic string with a rigid body at one end. The control force acts on the rigid body and the output is at the other end where is subject to an unknown sinusoidal disturbance. By constituting auxiliary system and internal model dynamic, an adaptive method is developed to identify the unknown frequency of disturbance. An error-based adaptive dynamic compensator is proposed to achieve exponential output tracking. The well-posedness and stability of the closed-loop system are proved by employing the semigroup theory. The numerical simulations are presented to confirm the effectiveness of the proposed control strategy.

Original language	English
Title of host publication	Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1485-1490
Number of pages	6
ISBN (Electronic)	9781665478960
DOIs	https://doi.org/10.1109/CCDC55256.2022.10034058
Publication status	Published - 2022
Event	34th Chinese Control and Decision Conference, CCDC 2022 - Hefei, China Duration: 15 Aug 2022 → 17 Aug 2022

Publication series

Name	Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022

Conference

Conference	34th Chinese Control and Decision Conference, CCDC 2022
Country/Territory	China
City	Hefei
Period	15/08/22 → 17/08/22

Keywords

Internal model principle
adaptive method
disturbance rejection
error feedback
wave equation

Access to Document

10.1109/CCDC55256.2022.10034058

Cite this

Wu, X. H., & Wang, J. M. (2022). Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance. In Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022 (pp. 1485-1490). (Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC55256.2022.10034058

@inproceedings{1b3206d59ab3475c87838accd523bdda,

title = "Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance",

abstract = "In this paper, we are concerned with the output tracking problem for a hybrid wave-ODE system coupling an elastic string with a rigid body at one end. The control force acts on the rigid body and the output is at the other end where is subject to an unknown sinusoidal disturbance. By constituting auxiliary system and internal model dynamic, an adaptive method is developed to identify the unknown frequency of disturbance. An error-based adaptive dynamic compensator is proposed to achieve exponential output tracking. The well-posedness and stability of the closed-loop system are proved by employing the semigroup theory. The numerical simulations are presented to confirm the effectiveness of the proposed control strategy.",

keywords = "Internal model principle, adaptive method, disturbance rejection, error feedback, wave equation",

author = "Wu, \{Xiao Hui\} and Wang, \{Jun Min\}",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 34th Chinese Control and Decision Conference, CCDC 2022 ; Conference date: 15-08-2022 Through 17-08-2022",

year = "2022",

doi = "10.1109/CCDC55256.2022.10034058",

language = "English",

series = "Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1485--1490",

booktitle = "Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022",

address = "United States",

}

Wu, XH & Wang, JM 2022, Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance. in Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022. Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022, Institute of Electrical and Electronics Engineers Inc., pp. 1485-1490, 34th Chinese Control and Decision Conference, CCDC 2022, Hefei, China, 15/08/22. https://doi.org/10.1109/CCDC55256.2022.10034058

Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance. / Wu, Xiao Hui; Wang, Jun Min.
Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. p. 1485-1490 (Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022).

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

TY - GEN

T1 - Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance

AU - Wu, Xiao Hui

AU - Wang, Jun Min

PY - 2022

Y1 - 2022

N2 - In this paper, we are concerned with the output tracking problem for a hybrid wave-ODE system coupling an elastic string with a rigid body at one end. The control force acts on the rigid body and the output is at the other end where is subject to an unknown sinusoidal disturbance. By constituting auxiliary system and internal model dynamic, an adaptive method is developed to identify the unknown frequency of disturbance. An error-based adaptive dynamic compensator is proposed to achieve exponential output tracking. The well-posedness and stability of the closed-loop system are proved by employing the semigroup theory. The numerical simulations are presented to confirm the effectiveness of the proposed control strategy.

AB - In this paper, we are concerned with the output tracking problem for a hybrid wave-ODE system coupling an elastic string with a rigid body at one end. The control force acts on the rigid body and the output is at the other end where is subject to an unknown sinusoidal disturbance. By constituting auxiliary system and internal model dynamic, an adaptive method is developed to identify the unknown frequency of disturbance. An error-based adaptive dynamic compensator is proposed to achieve exponential output tracking. The well-posedness and stability of the closed-loop system are proved by employing the semigroup theory. The numerical simulations are presented to confirm the effectiveness of the proposed control strategy.

KW - Internal model principle

KW - adaptive method

KW - disturbance rejection

KW - error feedback

KW - wave equation

UR - https://www.scopus.com/pages/publications/85149583137

U2 - 10.1109/CCDC55256.2022.10034058

DO - 10.1109/CCDC55256.2022.10034058

M3 - Conference contribution

AN - SCOPUS:85149583137

T3 - Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022

SP - 1485

EP - 1490

BT - Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 34th Chinese Control and Decision Conference, CCDC 2022

Y2 - 15 August 2022 through 17 August 2022

ER -

Wu XH, Wang JM. Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance. In Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022. Institute of Electrical and Electronics Engineers Inc. 2022. p. 1485-1490. (Proceedings of the 34th Chinese Control and Decision Conference, CCDC 2022). doi: 10.1109/CCDC55256.2022.10034058

Adaptive output tracking for a hybrid wave-ODE system subject to unknown sinusoidal disturbance

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