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 |
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doaj-54a1a41323694834a6bf6e6901ef2e362020-11-24T22:12:30ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422004-01-012004210712610.1155/S1110757X04312027Dynamic boundary controls of a rotating body-beam system with time-varying angular velocityBoumediène Chentouf0Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, OmanThis 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.http://dx.doi.org/10.1155/S1110757X04312027 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Boumediène Chentouf |
| spellingShingle |
Boumediène Chentouf Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity Journal of Applied Mathematics |
| author_facet |
Boumediène Chentouf |
| author_sort |
Boumediène Chentouf |
| title |
Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity |
| title_short |
Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity |
| title_full |
Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity |
| title_fullStr |
Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity |
| title_full_unstemmed |
Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity |
| title_sort |
dynamic boundary controls of a rotating body-beam system with time-varying angular velocity |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2004-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S1110757X04312027 |
| work_keys_str_mv |
AT boumedienechentouf dynamicboundarycontrolsofarotatingbodybeamsystemwithtimevaryingangularvelocity |
| _version_ |
1725803407599468544 |