Investigation of a delayed feedback controller of MEMS resonators

Handle URI:
http://hdl.handle.net/10754/564788
Title:
Investigation of a delayed feedback controller of MEMS resonators
Authors:
Masri, Karim M.; Younis, Mohammad I. ( 0000-0002-9491-1838 ) ; Shao, Shuai
Abstract:
Controlling mechanical systems is an important branch of mechanical engineering. Several techniques have been used to control Microelectromechanical systems (MEMS) resonators. In this paper, we study the effect of a delayed feedback controller on stabilizing MEMS resonators. A delayed feedback velocity controller is implemented through modifying the parallel plate electrostatic force used to excite the resonator into motion. A nonlinear single degree of freedom model is used to simulate the resonator response. Long time integration is used first. Then, a finite deference technique to capture periodic motion combined with the Floquet theory is used to capture the stable and unstable periodic responses. We show that applying a suitable positive gain can stabilize the MEMS resonator near or inside the instability dynamic pull in band. We also study the stability of the resonator by tracking its basins of attraction while sweeping the controller gain and the frequency of excitations. For positive delayed gains, we notice significant enhancement in the safe area of the basins of attraction. Copyright © 2013 by ASME.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program
Publisher:
ASME International
Journal:
Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Conference/Event name:
ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013
Issue Date:
4-Aug-2013
DOI:
10.1115/DETC2013-12045
Type:
Conference Paper
ISBN:
9780791855973
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorMasri, Karim M.en
dc.contributor.authorYounis, Mohammad I.en
dc.contributor.authorShao, Shuaien
dc.date.accessioned2015-08-04T07:15:58Zen
dc.date.available2015-08-04T07:15:58Zen
dc.date.issued2013-08-04en
dc.identifier.isbn9780791855973en
dc.identifier.doi10.1115/DETC2013-12045en
dc.identifier.urihttp://hdl.handle.net/10754/564788en
dc.description.abstractControlling mechanical systems is an important branch of mechanical engineering. Several techniques have been used to control Microelectromechanical systems (MEMS) resonators. In this paper, we study the effect of a delayed feedback controller on stabilizing MEMS resonators. A delayed feedback velocity controller is implemented through modifying the parallel plate electrostatic force used to excite the resonator into motion. A nonlinear single degree of freedom model is used to simulate the resonator response. Long time integration is used first. Then, a finite deference technique to capture periodic motion combined with the Floquet theory is used to capture the stable and unstable periodic responses. We show that applying a suitable positive gain can stabilize the MEMS resonator near or inside the instability dynamic pull in band. We also study the stability of the resonator by tracking its basins of attraction while sweeping the controller gain and the frequency of excitations. For positive delayed gains, we notice significant enhancement in the safe area of the basins of attraction. Copyright © 2013 by ASME.en
dc.publisherASME Internationalen
dc.titleInvestigation of a delayed feedback controller of MEMS resonatorsen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalVolume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Controlen
dc.conference.date4 August 2013 through 7 August 2013en
dc.conference.nameASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013en
dc.conference.locationPortland, ORen
dc.contributor.institutionDepartment of Mechanical Engineering, State University of New York, Binghamton, NY, United Statesen
kaust.authorYounis, Mohammad I.en
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