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This paper introduces a self-test approach for MEMS vibrating gyroscopes based on the concept of equivalent inertial force. By applying electrostatic signals to the feedback electrode, it is possible to simulate the inertial force input, enabling measurement of the gyroscope scale factor without reliance on physical testing equipment. This paper presents the operational principle of equivalent inertial force, establishes the correlation between equivalent inertial force and angular velocity through derivation, and accomplishes the calibration of this relationship across a broad temperature range using quadrature feedback forces. In contrast to traditional methods, this approach facilitates direct measurement of the scale factor of the gyroscope and compensates for variations in the scale factor induced by alterations in the temperature and environmental conditions. The efficacy of the proposed approach was validated in a comparative experiment on a ring resonator gyroscope. In the open-loop mode, the average calibration error of the scale factor of the equivalent inertial force method and the turntable method is 5.608%. The long-term self-test repeatability is 1781.2 ppm. Furthermore, the scale factor self-compensation of the gyroscope within the temperature range of -20°C to +40°C was achieved using the self-test results. The temperature sensitivity of the scale factor before and after compensation changed from 6689.7 ppm/°C to 318.6 ppm/°C, which was reduced by twenty times.
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Zhou et al. (2025) studied this question.
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