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

School of Mathematics and Statistics

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

1 Citation (Scopus)

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 - 2023

Keywords

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

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10.1080/00207179.2022.2085180

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Wang, J. M., Wang, J., & Zhang, H. W. (2023). Output feedback stabilisation of an axially moving string subject to a spring-mass-dashpot. International Journal of Control, 96(9), 2157-2166. https://doi.org/10.1080/00207179.2022.2085180

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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.",

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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.

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

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