Exponential stabilisation of Euler–Bernoulli beam with uncertain disturbance

Abstract

The stabilisation problem of an Euler–Bernoulli beam with uncertain disturbance is investigated in this paper. Employing the idea of the sliding mode control technique, a distributed feedback controller is designed to stabilise the beam with uncertain disturbance. Moreover, the solvability of the corresponding nonlinear closed-loop system is proved based on the theory of nonlinear maximal monotone operators. Furthermore, we construct a Lyapunov function to show the exponential stability of the closed-loop system. Finally, numerical simulations are conducted to illustrate the effectiveness of the proposed control method.

Keywords:

• Stabilisation
• Euler–Bernoulli beam
• uncertain disturbance
• Lyapunov function

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Tianjin Education Commission Research Project 2017KJ241.