Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes

We present two oscillation control algorithms for resonant sensors such as vibratory gyroscopes. One control algorithm tracks the resonant frequency of the resonator and the other algorithm tunes it to the specified resonant frequency by altering the resonator dynamics. Both algorithms maintain the...

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Main Authors: Sung Kyung Hong, Haedong Kim, Chin-Woo Tan, Sungsu Park
Format: Article
Language:English
Published: MDPI AG 2009-07-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/9/8/5952/
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author Sung Kyung Hong
Haedong Kim
Chin-Woo Tan
Sungsu Park
author_facet Sung Kyung Hong
Haedong Kim
Chin-Woo Tan
Sungsu Park
author_sort Sung Kyung Hong
collection DOAJ
description We present two oscillation control algorithms for resonant sensors such as vibratory gyroscopes. One control algorithm tracks the resonant frequency of the resonator and the other algorithm tunes it to the specified resonant frequency by altering the resonator dynamics. Both algorithms maintain the specified amplitude of oscillations. The stability of each of the control systems is analyzed using the averaging method, and quantitative guidelines are given for selecting the control gains needed to achieve stability. The effects of displacement measurement noise on the accuracy of tracking and estimation of the resonant frequency are also analyzed. The proposed control algorithms are applied to two important problems in a vibratory gyroscope. The first is the leading-following resonator problem in the drive axis of MEMS dual-mass vibratory gyroscope where there is no mechanical linkage between the two proof-masses and the second is the on-line modal frequency matching problem in a general vibratory gyroscope. Simulation results demonstrate that the proposed control algorithms are effective. They ensure the proof-masses to oscillate in an anti-phase manner with the same resonant frequency and oscillation amplitude in a dual-mass gyroscope, and two modal frequencies to match in a general vibratory gyroscope.
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spelling doaj.art-7f7af4279d8d48a6a37a062ff99e3c602022-12-22T03:59:44ZengMDPI AGSensors1424-82202009-07-01985952596710.3390/s90805952Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory GyroscopesSung Kyung HongHaedong KimChin-Woo TanSungsu ParkWe present two oscillation control algorithms for resonant sensors such as vibratory gyroscopes. One control algorithm tracks the resonant frequency of the resonator and the other algorithm tunes it to the specified resonant frequency by altering the resonator dynamics. Both algorithms maintain the specified amplitude of oscillations. The stability of each of the control systems is analyzed using the averaging method, and quantitative guidelines are given for selecting the control gains needed to achieve stability. The effects of displacement measurement noise on the accuracy of tracking and estimation of the resonant frequency are also analyzed. The proposed control algorithms are applied to two important problems in a vibratory gyroscope. The first is the leading-following resonator problem in the drive axis of MEMS dual-mass vibratory gyroscope where there is no mechanical linkage between the two proof-masses and the second is the on-line modal frequency matching problem in a general vibratory gyroscope. Simulation results demonstrate that the proposed control algorithms are effective. They ensure the proof-masses to oscillate in an anti-phase manner with the same resonant frequency and oscillation amplitude in a dual-mass gyroscope, and two modal frequencies to match in a general vibratory gyroscope.http://www.mdpi.com/1424-8220/9/8/5952/oscillation controlresonant sensorvibratory gyroscopeaveraging methodautomatic gain controlphase-locked loop
spellingShingle Sung Kyung Hong
Haedong Kim
Chin-Woo Tan
Sungsu Park
Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes
Sensors
oscillation control
resonant sensor
vibratory gyroscope
averaging method
automatic gain control
phase-locked loop
title Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes
title_full Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes
title_fullStr Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes
title_full_unstemmed Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes
title_short Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes
title_sort oscillation control algorithms for resonant sensors with applications to vibratory gyroscopes
topic oscillation control
resonant sensor
vibratory gyroscope
averaging method
automatic gain control
phase-locked loop
url http://www.mdpi.com/1424-8220/9/8/5952/
work_keys_str_mv AT sungkyunghong oscillationcontrolalgorithmsforresonantsensorswithapplicationstovibratorygyroscopes
AT haedongkim oscillationcontrolalgorithmsforresonantsensorswithapplicationstovibratorygyroscopes
AT chinwootan oscillationcontrolalgorithmsforresonantsensorswithapplicationstovibratorygyroscopes
AT sungsupark oscillationcontrolalgorithmsforresonantsensorswithapplicationstovibratorygyroscopes