Output feedback stabilisation of an axially moving string subject to a spring-mass-dashpot

Jun-Min  Wang; Jing Wang; Han-Wen  Zhang

doi:10.1080/00207179.2022.2085180

Output feedback stabilisation of an axially moving string subject to a spring-mass-dashpot

Jun-Min Wang, Jing Wang^*, Han-Wen Zhang

^*Corresponding author for this work

Mathematical Physics

Research output: Contribution to journal › Article › Scientific › peer-review

1 Citation (Scopus)

21 Downloads (Pure)

Abstract

In this paper, we consider the output feedback stabilisation of an axially moving string system subject to a spring-mass-dashpot boundary condition. By constructing an invertible backstepping transformation, we design a state feedback controller to stabilise the system. Next, we present an observer to estimate the states of the system, and based on the estimated states, we design an output-feedback controller. The closed-loop system is proved to be exponentially stable by Lyapunov analysis. Numerical simulations are presented to verify the effectiveness of the proposed controller.

Original language	English
Pages (from-to)	2157-2166
Number of pages	10
Journal	International Journal of Control
Volume	96
Issue number	9
DOIs	https://doi.org/10.1080/00207179.2022.2085180
Publication status	Published - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

backstepping
Moving string
PDE-ODE
spring-mass-dashpot
vibration control

Access to Document

10.1080/00207179.2022.2085180

Output feedback stabilisation of an axially moving string subject to a spring mass dashpotFinal published version, 1.57 MB

Cite this

@article{3713c3789e5948e5bc39a415762b938c,

title = "Output feedback stabilisation of an axially moving string subject to a spring-mass-dashpot",

abstract = "In this paper, we consider the output feedback stabilisation of an axially moving string system subject to a spring-mass-dashpot boundary condition. By constructing an invertible backstepping transformation, we design a state feedback controller to stabilise the system. Next, we present an observer to estimate the states of the system, and based on the estimated states, we design an output-feedback controller. The closed-loop system is proved to be exponentially stable by Lyapunov analysis. Numerical simulations are presented to verify the effectiveness of the proposed controller.",

keywords = "backstepping, Moving string, PDE-ODE, spring-mass-dashpot, vibration control",

author = "Jun-Min Wang and Jing Wang and Han-Wen Zhang",

note = "Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.",

year = "2022",

doi = "10.1080/00207179.2022.2085180",

language = "English",

volume = "96",

pages = "2157--2166",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor & Francis",

number = "9",

}

TY - JOUR

T1 - Output feedback stabilisation of an axially moving string subject to a spring-mass-dashpot

AU - Wang, Jun-Min

AU - Wang, Jing

AU - Zhang, Han-Wen

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2022

Y1 - 2022

N2 - In this paper, we consider the output feedback stabilisation of an axially moving string system subject to a spring-mass-dashpot boundary condition. By constructing an invertible backstepping transformation, we design a state feedback controller to stabilise the system. Next, we present an observer to estimate the states of the system, and based on the estimated states, we design an output-feedback controller. The closed-loop system is proved to be exponentially stable by Lyapunov analysis. Numerical simulations are presented to verify the effectiveness of the proposed controller.

AB - In this paper, we consider the output feedback stabilisation of an axially moving string system subject to a spring-mass-dashpot boundary condition. By constructing an invertible backstepping transformation, we design a state feedback controller to stabilise the system. Next, we present an observer to estimate the states of the system, and based on the estimated states, we design an output-feedback controller. The closed-loop system is proved to be exponentially stable by Lyapunov analysis. Numerical simulations are presented to verify the effectiveness of the proposed controller.

KW - backstepping

KW - Moving string

KW - PDE-ODE

KW - spring-mass-dashpot

KW - vibration control

UR - http://www.scopus.com/inward/record.url?scp=85131788586&partnerID=8YFLogxK

U2 - 10.1080/00207179.2022.2085180

DO - 10.1080/00207179.2022.2085180

M3 - Article

AN - SCOPUS:85131788586

SN - 0020-7179

VL - 96

SP - 2157

EP - 2166

JO - International Journal of Control

JF - International Journal of Control

IS - 9

ER -

Output feedback stabilisation of an axially moving string subject to a spring-mass-dashpot

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this