Control and stabilization of a rotating flexible structure
Author(s)
Date
1994Source Title
Automatica
Print ISSN
0005-1098
Publisher
Elsevier
Volume
30
Issue
2
Pages
351 - 356
Language
English
Type
ArticleItem Usage Stats
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Abstract
We consider a flexible beam clamped to a rigid
base at one end and free at the other end. We assume that
the rigid base rotates with a constant angular velocity and
that the motion of the flexible beam takes place on a plane.
To suppress the beam vibrations, we propose dynamic
control laws for boundary control force and torque, both
applied to the free end of the beam. We show that, under
some conditions, one of which is the strict positive realness
of the actuator transfer functions which generate the
boundary control force and torque, the beam vibrations
asymptotically decay to zero if the rigid base angular
frequency is sufficiently small. Moreover, if the transfer
functions are proper but not strictly proper, we show that the
decay is exponential. We also give a bound on the constant
angular velocity above which the system becomes unstable.
Keywords
Distributed parameter systemsPartial differential equations
Boundary-value problems
Stability
Lyapunov methods