Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Noise-Induced Jumping Prior to a Fold: Applied to Climate Tipping Predictions Read chapter Read first chapter

2013 | OriginalPaper | Chapter

On Nonlinear Dynamics and Control Design in a “MEMS” Gyroscope System

Authors : Fábio Roberto Chavarette, José Manoel Balthazar, Jorge Luis Palacios Felix

Published in: IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Publisher: Springer Netherlands

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper deals with a (MEMS) Gyroscope nonlinear dynamical system, modeled with a proof mass constrained to move in a plane with two resonant modes, which are nominally orthogonal. We present some modifications to the governing equations of the considered system, taking into account the nonlinear interactions between the parts of the systems. We also develop a linear optimal control design, for reducing the oscillatory movement of the nonlinear system to a stable point.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter A Study on Swing up Control for Rotation of Parametric Pendulum
next chapter Control of Chains of Mass Points in a Frictional Environment
Literature
Chavarette, F.R., Balthazar, J.M., Felix, J.L.P., Rafikov, M.: Reducing a chaotic movement to a periodic orbit, in of a micro-electro-mechanical system, by using an optimal linear control design. Commun. Nonlinear Sci. Numer. Simul. 14(5), 1844–1853 (2009a)CrossRef
Chavarette, F.R., Balthazar, J.M., Rafikov, M.: On an energy pumping levels in a MEMS gyroscope vibrating problem, by using of an optimal (global and local) linear control design. In: Proceedings of the ASME 2009 IDETC/CIE, San Diego (2009b)
Chavarette, F.R., Balthazar, J.M., Felix, J.L.P.: Remarks on an optimal linear control design applied to a nonideal and an ideal structure coupled to an essentially nonlinear oscillator. J. Comput. Nonlinear Dyn. 5, 24501–24508 (2010)CrossRef
Guckenheimer, J., Holmes, P.: Nonlinear Oscillations, Dynamical System, and Bifurcation of Vector Fields. Springer, New York (1983)
Lee, Y., Pai, P.F., Feng, Z.C.: Nonlinear complex response of a parametrically excited tuning fork. Mech. Syst. Signal Process. 22, 1146–1156 (2008)CrossRef
Luo, A.C.J., Wang Fei-Yue: Chaotic motion in a micro-electro-mechanical system with non-linearity from capacitors. Commun. Nonlinear Sci. Numer. Simul. 7, 31–49 (2002)MATHCrossRef
Luo, A.C.J., Wang Fei-Yue: Nonlinear dynamics of a micro-electro-mechanical system with time-varying capacitors. J. Vib. Acoust. 126, 77–83 (2004)CrossRef
Miller, N.J., Shaw, S.W., Oropeza-Ramos, L.A., Turner, K.L.: Analysis of a novel MEMS gyroscope actuated by parametric resonance. In: Proceedings of the Sixth EUROMECH Nonlinear Dynamics Conference (ENOC 2008), Saint Petersburg, Russia, June 30–July 4 2008 (2008)
Ogata, K.: Engenharia de Controle Moderno, vol. 4, p. 788. Pearson Prentice Hall, São Paulo (2003)
Oropeza-Ramos, L., Burgner, C.B., Olroyd, C., Turner, K.: Characterization of a novel MEMGyroscope actuated by parametric resonance. In: Proceedings of the ASME 2007, IDETC/CIE 2007, pp. 1–6, Las Vegas, Nevada, 4–7 September 2007
Oropeza-Ramos, L., Burgner, C.B., Olroyd, C., Turner, K.: Inherently robust micro gyroscope actuated by parametric resonance. In: IEEE International Conference on Micro Electro Mechanical Systems, pp. 872–875, Tucson, AZ (2008)
Rafikov, M., Balthazar, J.M.: On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Commun. Nonlinear Sci. Numer. Simul. 13(7), 1246–1255 (2008)MathSciNetMATHCrossRef
Sinhá, S.C., Henrichs, J.T., Ravindra, B.A.: A general approach in the design of active controllers for nonlinear systems exhibiting chaos. Int. J. Bifur. Chaos 10(1), 165 (2000)MATHCrossRef
Wauer, J.: On the dynamics of electrostatic transducer with distributed parameters. In: 9th Conference on Dynamical Systems Theory and Applications, pp. 1009–1016, Lódz, Poland, 17–20 December 2007
Metadata
Title
On Nonlinear Dynamics and Control Design in a “MEMS” Gyroscope System
Authors
Fábio Roberto Chavarette
José Manoel Balthazar
Jorge Luis Palacios Felix
Copyright Year
2013
Publisher
Springer Netherlands
Book
IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Print ISBN: 978-94-007-5741-7

Electronic ISBN: 978-94-007-5742-4

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-94-007-5742-4_32

Premium Partners

    Image Credits