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

Research output: Contribution to journalArticleScientificpeer-review


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 languageEnglish
Number of pages10
JournalInternational Journal of Control
Publication statusPublished - 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.


  • backstepping
  • Moving string
  • spring-mass-dashpot
  • vibration control


Dive into the research topics of 'Output feedback stabilisation of an axially moving string subject to a spring-mass-dashpot'. Together they form a unique fingerprint.

Cite this