Exponential stabilization of thermoelastic system of type II with non-uniform bounded disturbance

Abstract

The boundary stabilization problem of a thermoelastic system of type II with a tip-mass is considered with the assumption that there is an external non-uniform bounded disturbance at the control end. In order to estimate this kind of disturbance, a time-varying high-gain estimator is designed, where the idea of active disturbance rejection control is adopted. Based on the estimate of disturbance, we propose a boundary feedback controller so as to exponentially stabilize this system. Finally, some numerical simulations on the dynamical behavior of the closed-loop system are given.

Keywords:

• Stabilization
• thermoelasticity of type II
• feedback control
• exponential stability
• disturbance
• tip-mass

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research is supported by the Natural Science Foundation of China [grant number NSFC-61573252], [grant number 61503385], and [grant number 61174080].