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Abstract: Vibration
control of an axially moving string system consisting of a controlled
span coupled to a tensioner is investigated. The axially moving string
system is divided into two spans, i.e. a controlled span and an
uncontrolled span, by a tensioner which is located in the middle section
of the string. The transverse vibration of the controlled span of the
string is controlled by the control force acted on the tensioner, and
the constrained point is considered as the right boundary of the
controlled span. The adaptive method is employed to design the
controlled law for ensuring the vibration reduction of the controlled
span, and the asymptotically stability of the closed loop system under
the boundary control is proved. Results for the response of the
controlled string under initial disturbance and excitations are
presented, and the effectiveness of the controller is demonstrated by
simulations.
Key words:
Axially moving string Transverse vibration Coupled system
Vibration control Adaptation
CLC No: TP241
国家自然科学基金(10172056，10472060)和上海市自然科学基金(04ZR14058)资助项目. Received 20050417,
received in revised form 20051118
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