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Resonance Tracking of Nonlinear MEMS Resonators

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2 Author(s)
Sohanian-Haghighi, H. ; Dept. of Mech. Eng., Iran Univ. of Sci. & Technol., Tehran, Iran ; Davaie-Markazi, A.

In this paper, the frequency control loop performance of nonlinear microelectromechanical resonators is investigated. A phase-locked loop (PLL) controller is used to track the resonance frequency of a nonlinear resonator and to compensate for the changes in the natural frequency. Based on the harmonic balance approach, governing equations of the dynamics of a nonlinear resonator are obtained, and using the mathematical model of the PLL, a new stability criterion for the closed-loop system is proposed. The relationship between the amplitude of the external driving force command and the stability of the control loop is elaborated for both hardening and softening nonlinearities. A nonlinear gain control strategy is proposed for the frequency-tracking loop, and its effectiveness is shown through simulation studies.

Published in:

Mechatronics, IEEE/ASME Transactions on  (Volume:17 ,  Issue: 4 )

Date of Publication:

Aug. 2012

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