Adaptive boundary control of an axially moving string under the effect of boundary disturbance

In this paper, an active vibration control of a tensioned axially moving string under the effect of boundary disturbance is investigated. The dynamics of the translating string are described by a non-linear partial differential equation coupled with an ordinary differential equation. Disturbance est...

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Bibliographic Details
Main Authors: Quang Hieu Ngo, Quoc Chi Nguyen, Keum-Shik Hong
Format: Conference Proceeding
Language:English
Subjects:
Actuators
adaptive boundary control
Adaptive control
Axially moving string
Belts
Control systems
exponential stability
Force control
Lyapunov method
partial differential equation
Partial differential equations
Programmable control
Stability
Vibration control
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Summary:In this paper, an active vibration control of a tensioned axially moving string under the effect of boundary disturbance is investigated. The dynamics of the translating string are described by a non-linear partial differential equation coupled with an ordinary differential equation. Disturbance estimation at the boundary is performed. A time varying control in the form of right boundary transverse motions is proposed in stabilizing the transverse vibrations of the translating continuum. A control law based on Lyapunov method is derived. Exponential stability of the closed-loop system is verified. The effectiveness of the proposed controller is shown through simulations.