TY - JOUR
T1 - Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity
AU - Chentouf, Boumediène
PY - 2004
Y1 - 2004
N2 - This paper deals with feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the rigid body rotates with a nonconstant angular velocity. To stabilize this system, we propose a feedback law which consists of a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam. Then it is shown that the closed loop system is well posed and exponentially stable provided that the actuators, which generate the boundary controls, satisfy some classical assumptions and the angular velocity is smaller than a critical one.
AB - This paper deals with feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the rigid body rotates with a nonconstant angular velocity. To stabilize this system, we propose a feedback law which consists of a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam. Then it is shown that the closed loop system is well posed and exponentially stable provided that the actuators, which generate the boundary controls, satisfy some classical assumptions and the angular velocity is smaller than a critical one.
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U2 - 10.1155/S1110757X04312027
DO - 10.1155/S1110757X04312027
M3 - Article
AN - SCOPUS:20444406522
SN - 1110-757X
VL - 2004
SP - 107
EP - 126
JO - Journal of Applied Mathematics
JF - Journal of Applied Mathematics
IS - 2
ER -