Exponential stabilization of thermoelastic system of type II with non-uniform bounded disturbance. Issue 2 (25th January 2018)

• Record Type: Journal Article
• Authors: Wang, Lei; Feng, Xiao-Yu; Han, Zhong-Jie; Xu, Gen-Qi
• Is Part Of: Applicable analysis. Volume 97:Issue 2(2018)
• Page Start: 145
• Page End: 159
• Publication Date: 2018-01-25
• Subjects: Stabilization -- thermoelasticity of type II -- feedback control -- exponential stability -- disturbance -- tip-mass; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1254775
• Languages: English
• ISSNs: 0003-6811

Abstract

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.