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.
Acknowledgments
We appreciate the anonymous reviewers for their valuable suggestions and comments to improving the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).