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

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...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of control Vol. 96; no. 9; pp. 2157 - 2166
Main Authors Wang, Jun-Min, Wang, Jing, Zhang, Han-Wen
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.09.2023
Taylor & Francis Ltd
Subjects
backstepping
Boundary conditions
Closed loops
Control systems design
Feedback control
Moving string
Output feedback
PDE-ODE
spring-mass-dashpot
State feedback
Strings
vibration control
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2022.2085180