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A control scheme for a MEMS electrostatic resonant gyroscope excited using combined parametric excitation and harmonic forcing

Lookup NU author(s): Dr Barry Gallacher, Emeritus Professor James Burdess


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In this paper, a method employing both parametric excitation and harmonic forcing is applied to the excitation of a micro-ring gyroscope in order to improve its rate resolution performance. A multiple scales perturbation method is used to propose a methodology and this demonstrates the significance of the parametric instability boundary in facilitating the design of the required control strategies. The analysis shows that the 'effective' quality factor of any mode of vibration of the resonator may be increased arbitrarily through parametric excitation. This scheme, when applied to the primary motion of the gyroscope, allows forcing levels to be reduced by several orders of magnitude whilst sustaining the response amplitude. As the parametric excitation and forcing are at different frequencies the excitation scheme proposed minimizes the unwanted effect of electrical 'feedthrough' at the forcing frequency, resulting from parasitic capacitances. Simulation of the oscillator scheme, which is highly nonlinear, is achieved using MATLAB-Simulink and this validates the perturbation analysis. Agreement between the models within 8% is demonstrated. The excitation scheme proposed may be readily applied to many resonant MEMS/NEMS sensors. © 2006 IOP Publishing Ltd.

Publication metadata

Author(s): Gallacher BJ, Burdess JS, Harish KM

Publication type: Article

Publication status: Published

Journal: Journal of Micromechanics and Microengineering

Year: 2006

Volume: 16

Issue: 2

Pages: 320-331

ISSN (print): 0960-1317

ISSN (electronic): 1361-6439

Publisher: Institute of Physics Publishing Ltd.


DOI: 10.1088/0960-1317/16/2/017


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