Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity

[摘要] This paper dealswith feedback stabilization of a flexible beamclamped at a rigid body and free at the other end. We assume thatthere is no damping and the rigid body rotates with anonconstantangular velocity. To stabilize this system,we propose a feedback law which consists of a control torqueapplied on the rigid body and either adynamicboundarycontrol moment or adynamicboundary control force orboth of them applied at the free end of the beam. Then it isshown that the closed loop system is well posed and exponentiallystable provided that the actuators, which generate the boundarycontrols, satisfy some classical assumptions and the angularvelocity is smaller than a critical one.

[学科分类] 应用数学