Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Nonlinear Dynamics of MEMS Resonator in PLL-AGC Self-Oscillation Loop

Version 1 : Received: 2 November 2020 / Approved: 3 November 2020 / Online: 3 November 2020 (14:20:12 CET)

How to cite: Lukin, A.; Indeitsev, D.; Popov, I.; Belyaev, Y. Nonlinear Dynamics of MEMS Resonator in PLL-AGC Self-Oscillation Loop. Preprints 2020, 2020110158 (doi: 10.20944/preprints202011.0158.v1). Lukin, A.; Indeitsev, D.; Popov, I.; Belyaev, Y. Nonlinear Dynamics of MEMS Resonator in PLL-AGC Self-Oscillation Loop. Preprints 2020, 2020110158 (doi: 10.20944/preprints202011.0158.v1).

Abstract

The work is devoted to the study of a MEMS resonator dynamics under the action of phase-locked and automatic gain control loops. Particular attention is directed to the study of the nonlinearity factor of the resonator elastic restoring force. It was found that the determination of control system parameters based on the stability analysis of the operating resonant mode, in the general case, does not provide the required phase adjustment and stabilization of the oscillation amplitude. Stable multifrequency modes of oscillations are found, an analytical study of the mechanisms of their appearance and evolution is carried out under variation of the key parameters of the system. The real regions of the control system stable operation are determined (which do not coincide, as was found, with the regions of stability of the operating resonant mode, due to the presence of hidden attractors in the phase space of the system). A methodology has been developed for identifying such areas of stable operation. A significant complication of the structure of possible motions in the system with an increase in the Q-factor of the resonator is revealed.

Subject Areas

MEMS resonator; nonlinear dynamics; phase-locked loop (PLL); automatic gain control (AGC); hidden attractors

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.