Design and simulation of robust and adaptive controls for a nonlinear string system

In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary co...

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Veröffentlicht in:Journal of vibration and acoustics 2004, Vol.126 (1), p.54-62
Hauptverfasser: WEIWEI JIN, ZHIHUA QU, LIN, Kuo-Chi
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creator WEIWEI JIN
ZHIHUA QU
LIN, Kuo-Chi
description In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control.
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source ASME Transactions Journals (Current)
subjects Acoustics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural acoustics and vibration
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title Design and simulation of robust and adaptive controls for a nonlinear string system
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