DYNAMIC BOUNDARY CONTROL OF A EULER-BERNOULLI BEAM

被引:90
作者
MORGUL, O
机构
[1] Department of Electrical and Electronics Engineer ins, Bilkent University, 06533, Ankara
关键词
D O I
10.1109/9.135504
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider a flexible beam clamped to a rigid base at one end and free at the other end. To stabilize the beam vibrations, we propose a dynamic boundary force control and a dynamic boundary torque control applied at the free end of the beam. We prove that with the proposed controls, the beam vibrations decay exponentially. The proof uses a Lyapunov functional based on the energy functional of the system.
引用
收藏
页码:639 / 642
页数:4
相关论文
共 14 条
[1]   MODELING, STABILIZATION AND CONTROL OF SERIALLY CONNECTED BEAMS [J].
CHEN, G ;
DELFOUR, MC ;
KRALL, AM ;
PAYRE, G .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1987, 25 (03) :526-546
[2]  
CHEN G, 1987, LECT NOTES PURE APPL, P67
[3]  
CHEN G, THEORY DESIGNS APPLI
[4]  
GHEN G, 1979, J MATH PURE APPL, V58, P249
[5]   BOUNDARY CONTROL OF THE TIMOSHENKO BEAM [J].
KIM, JU ;
RENARDY, Y .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1987, 25 (06) :1417-1429
[6]  
Lagnese J., 1989, SIAM STUDIES APPL MA, V10
[7]  
Meirovitch L., 1967, ANAL METHODS VIBRATI
[8]  
MORGUIL O, 1989, UCBERLM8997 U CALIFO
[9]  
MORGUIL O, 1990, P IEEE INT WORKSHOP, P519
[10]  
Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI DOI 10.1007/978-1-4612-5561-1