Paper
28 October 2006 Effects of phase-drift on measure accuracy in the closed loop of resonant sensors
Chenguang Cai, Shangchun Fan, Weiwei Xing
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Abstract
Every component characteristic in the closed loop of resonant sensors is analyzed. Based on the component characteristics, the relation between the excitation force and the displacement of the resonator is confirmed. And the closed loop differential equation of resonant sensors is build. The phase drift of the closed loop control system is brought into the differential equation. By solving the differential equation with phase error of the closed loop control system, the relation between phase drift and the difference between the resonant frequency of the closed loop and the natural frequency of the resonator is gained. It is found that the measure error between the resonator natural frequency and the resonant frequency of the closed loop is proportional to tangent of the phase drift of the closed loop control system. The proportion coefficient is negative -3dB bandwidth of the resonator.
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Chenguang Cai, Shangchun Fan, and Weiwei Xing "Effects of phase-drift on measure accuracy in the closed loop of resonant sensors", Proc. SPIE 6358, Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation, 63580R (28 October 2006); https://doi.org/10.1117/12.717797
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KEYWORDS
Resonators

Control systems

Sensors

Phase shifts

Differential equations

Phase measurement

Automatic control

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