Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Boundary Control of an Axially Moving Nonlinear Tensioned Elastic String

인장력하에서 길이방향으로 이동하는 비선형 탄성현의 경계제어

  • 박선규 (부산대학교 지능기계공학과) ;
  • 이숙재 (부산대학교 지능기계공학과) ;
  • 홍금식 (부산대학교 기계공학부)
  • Published : 2004.01.01
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Abstract

In this paper, an active vibration control of a tensioned elastic axially moving string is investigated. The dynamics of the translating string ale described by a non-linear partial differential equation coupled with an ordinary differential equation. The time varying control in the form of the right boundary transverse motions is suggested to stabilize the transverse vibration of the translating continuum. A control law based on Lyapunov's second method is derived. Exponential stability of the translating string under boundary control is verified. The effectiveness of the proposed controller is shown through the simulations.

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References

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