### Abstract

Global stabilization of the 1-periodic response of a harmonically excited beam with one-sided spring is used to reduce vibration amplitude with small control effort. The control is based on linear error feedback at a single position on the beam. Linear error feedback changes the error dynamics by creating bifurcations. These bifurcations determine the necessary condition needed to globally stabilize the 1-periodic response. Once stabilized, the entire beam converges to the 1-periodic response while the control force converges to zero because the 1-periodic response is a solution of the uncontrolled system

Original language | English |
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Title of host publication | Nonlinear control systems design 1998, NOLCOS '98 : a proceedings volume from the 4th IFAC symposium, Enschede, The Netherlands, 1-3 July, 1998. Vol. 1 |

Editors | H.J.C. Huijberts, H. Nijmeijer, A.J. Schaft, van der, J.M.A. Scherpen |

Place of Publication | Oxford, UK |

Publisher | Elsevier |

Pages | 49-54 |

ISBN (Print) | 0-08-043049-X |

Publication status | Published - 1998 |

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## Cite this

Heertjes, M. F., & Molengraft, van de, M. J. G. (1998). Global stabilization of the 1-periodic response of a beam with one-sided spring. In H. J. C. Huijberts, H. Nijmeijer, A. J. Schaft, van der, & J. M. A. Scherpen (Eds.),

*Nonlinear control systems design 1998, NOLCOS '98 : a proceedings volume from the 4th IFAC symposium, Enschede, The Netherlands, 1-3 July, 1998. Vol. 1*(pp. 49-54). Elsevier.