Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity
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 torqu...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04312027 |
| Summary: | 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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| ISSN: | 1110-757X 1687-0042 |