Global stabilization of the 1-periodic response of a beam with one-sided spring

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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 languageEnglish
Title of host publicationNonlinear control systems design 1998, NOLCOS '98 : a proceedings volume from the 4th IFAC symposium, Enschede, The Netherlands, 1-3 July, 1998. Vol. 1
EditorsH.J.C. Huijberts, H. Nijmeijer, A.J. Schaft, van der, J.M.A. Scherpen
Place of PublicationOxford, UK
PublisherElsevier
Pages49-54
ISBN (Print)0-08-043049-X
Publication statusPublished - 1998

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    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.