Control of a thermo-viscoelastic translational Timoshenko beam

被引：2
|
作者：
Kafini, Mohammad [1 ]
Tatar, Nasser-Eddine [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2021年 / 94卷 / 08期
关键词：
Vibration control; translational motion; Timoshenko beam; memory term; relaxation function; heat conduction; FORCE FEEDBACK-CONTROL; BOUNDARY STABILIZATION; PIEZOELECTRIC CONTROL; VIBRATION CONTROL; FLEXIBLE ROBOT; ENERGY DECAY; SYSTEM; STABILITY;
D O I：
10.1080/00207179.2019.1695146
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study a beam fixed to a base in a translational motion at one end and to a tip mass at its free end. The beam is subject to some vibrations and it is modelled as a Timoshenko structure coupled with a heat equation of hyperbolic type. The only damping we employ is the thermal effect. We come up with a control force capable of driving the system to the equilibrium state in an exponential manner. It is also explained how to get any desirable rate of decay. Our method is based on the multiplier technique.
引用
收藏
页码：2161 / 2174
页数：14
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