High-Frequency Nonlinear Vibrational Control

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dc.contributor.authorShapiro, Benjamin
dc.contributor.authorZinn, B. T.
dc.date.accessioned2009-10-01T18:05:50Z
dc.date.available2009-10-01T18:05:50Z
dc.date.issued1997-01
dc.description.abstractThis paper discusses the feasibility of high-frequency nonlinear vibrational control. Such control has the advantage that it does not require state measurement and processing capabilities that are required in conventional feedback control. Bellman et al. [1] investigated nonlinear systems controlled by linear vibrational controllers and proved that vibrational control is not feasible if the Jacobian matrix has a positive trace. This paper extends previous work to include nonlinear vibrational controllers. A stability criteria is derived for nonlinear systems with nonlinear controllers, and it is shown that a nonlinear vibrational controller can stabilize a system even if the Jacobian matrix has a positive trace.en
dc.format.extent249837 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationShaprio, B. and B.T. Zinn. High Frequency Nonlinear Vibrational Control. IEEE Transactions on Automatic Control, vol42, no1, pg83-90, Jan 1997.en
dc.identifier.urihttp://hdl.handle.net/1903/9440
dc.language.isoen_USen
dc.publisherIEEEen
dc.relation.isAvailableAtA. James Clark School of Engineeringen_us
dc.relation.isAvailableAtAerospace Engineeringen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us
dc.rights.licenseCopyright © [1997] IEEE. Reprinted from IEEE TRANSACTIONS ON AUTOMATIC CONTROL, This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Maryland 's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
dc.subjectMethod of averagingen
dc.subjectnaturally occurring feedbacken
dc.subjectnonlinear controlen
dc.subjectopen loopen
dc.subjectvibrationsen
dc.titleHigh-Frequency Nonlinear Vibrational Controlen
dc.typeArticleen

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