Iterative learning control of an Euler-Bernoulli beam with time-varying boundary disturbance

This paper investigates the stabilization of Euler-Bernoulli beam systems modeled by a partial differential equation (PDE) with unknown time-varying disturbance. An iterative learning controller is designed using only boundary state feedback to realize the vibration control subject to unknown bounda...

Full description

Saved in:
Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 162; pp. 145 - 154
Main Authors Wang, Yingying, Wu, Wei, Lou, Xuyang, Görges, Daniel
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 15.05.2024
Subjects
Boundary control
Distributed parameter system
Euler-Bernoulli beam
Iterative learning control
Boundary control
Distributed parameter system
Euler-Bernoulli beam
Iterative learning control
Online AccessGet full text

Cover

More Information
Summary:This paper investigates the stabilization of Euler-Bernoulli beam systems modeled by a partial differential equation (PDE) with unknown time-varying disturbance. An iterative learning controller is designed using only boundary state feedback to realize the vibration control subject to unknown boundary disturbance. The well-posedness for the closed-loop system is given by the operator semigroup theory. Furthermore, the exponentially stable for the closed-loop system is proved by the Lyapunov method. The comparisons with existing results are made to demonstrate the effectiveness and advantages of the proposed boundary iterative learning control method.
ISSN:0898-1221
DOI:10.1016/j.camwa.2024.03.004