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

页码：2161 / 2174

页数：14

共 28 条

[1] Energy decay for Timoshenko systems of memory type [J].

Ammar-Khodja, F ;

Benabdallah, A ;

Rivera, JEM ;

Racke, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 194 (01) :82-115

[2] STABILIZATION OF A VISCOELASTIC TIMOSHENKO BEAM FIXED INTO A MOVING BASE [J].

Berkani, Amirouche ;

Tatar, Nasser-Eddine .

MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2019, 14 (05)

[3] Vibration Control of a Viscoelastic Translational Euler-Bernoulli Beam [J].

Berkani, Amirouche ;

Tatar, Nasser-eddine ;

Kelleche, Abdelkarim .

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2018, 24 (01) :167-199

[4] Control of a viscoelastic translational Euler-Bernoulli beam [J].

Berkani, Amirouche ;

Tatar, Nasser-eddine ;

Khemmoudj, Ammar .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (01) :237-254

[5] A Lyapunov-based piezoelectric controller for flexible Cartesian robot manipulators [J].

Dadfarnia, M ;

Jalili, N ;

Xian, B ;

Dawson, DM .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2004, 126 (02) :347-358

[6] Lyapunov-based vibration control of translational Euler-Bernoulli beams using the stabilizing effect of beam damping mechanisms [J].

Dadfarnia, M ;

Jalili, N ;

Xian, B ;

Dawson, DM .

JOURNAL OF VIBRATION AND CONTROL, 2004, 10 (07) :933-961

[7] An observer-based piezoelectric control of flexible Cartesian robot arms: theory and experiment [J].

Dadfarnia, M ;

Jalili, N ;

Liu, ZY ;

Dawson, DM .

CONTROL ENGINEERING PRACTICE, 2004, 12 (08) :1041-1053

[8]

Dadfarnia M, 2003, P AMER CONTR CONF, P5227

[9]

de Lima Santos M., 2002, Abstract and Applied Analysis, V7, P531, DOI 10.1155/S1085337502204133

[10] Adaptive nonlinear boundary control of a flexible link robot arm [J].

de Queiroz, MS ;

Dawson, DM ;

Agarwal, M ;

Zhang, F .

IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 1999, 15 (04) :779-787

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