Control of MEMS vibration modes with pulsed digital oscillators: part I-theory

  • Authors:

  • Elena Blokhina;Joan Pons;Jordi Ricart;OrIa Feely;Manuel Dominguez Pumar

  • Affiliations:

  • School of Electrical, Electronic and Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland;Micro and Nano Technologies Group, Universitat Politécnica de Catalunya, Barcelona, Spain;Micro and Nano Technologies Group, Universitat Politécnica de Catalunya, Barcelona, Spain;School of Electrical, Electronic and Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland;Micro and Nano Technologies Group, Universitat Politécnica de Catalunya, Barcelona, Spain

  • Venue:
  • IEEE Transactions on Circuits and Systems Part I: Regular Papers
  • Year:
  • 2010

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Abstract

The aim of this paper is to show that it is possible to excite selectively different mechanical resonant modes of a MEMS structure using pulsed digital oscillators (PDOs). This can be done by simply changing the working parameters of the oscillator, namely its sampling frequency or its feedback filter. A set of iterative maps is formulated to describe the evolution of the spatial modes between two sampling events in PDOs. With this lumped model, it is established that under some circumstances PDO bitstreams related to only one of the resonances can be obtained, and that in the anti-oscillation regions of the PDO the mechanical energy is absorbed into the electrical domain on average. The possibility of selecting for a given resonant frequency the oscillation and anti-oscillation behavior allows one to obtain oscillations at any given resonant mode of the MEMS structure.