A novel calibration procedure for dynamically tuned gyroscope designed by D-optimal approach

Fu, Li; Yang, Xi; Wang, Ling Ling

doi:10.1016/j.measurement.2013.05.026

Cited by 18 publications

(7 citation statements)

References 15 publications

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“…Betta et al in 2001 provides experimental design for optimizing calibration approach with minimizing calibration points [23]. Since this time, optimality designs have been investigated for linearity calibration [15,30,51,[57][58][59]. It is discussed that optimal design tends to minimise the number of calibration points and can minimise the in-use uncertainty and standard deviation over the full range of the instrument.…”

Section: Introductionmentioning

confidence: 99%

Calibration approach to quantify nonlinearity of MEMS pore pressure sensors using optimal interpolation

Barzegar¹,

Tadich²,

Sainsbury³

et al. 2022

Meas. Sci. Technol.

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MEMS-based instruments have become more attractive in recent years for many industries, particularly geotechnical monitoring owing to their small size and low capital cost. However, overcoming nonlinearity errors is a major concern to ensure accuracy, precision, and repeatability of measurement. Nonlinearity error in measuring instruments can be solved using polynomial function of different degree based on severity of error. In this study, Lagrange polynomial fitting method is applied for nonlinearity calibration of a newly developed MEMS pore pressure sensor by means of optimum calibration points. A procedure for optimum selection of the calibration points to get the best calibration characteristics of a pore pressure sensor is investigated. For this work, the calibration characteristics are evaluated by Lagrange interpolation using special set of Chebyshev nodes, D, A and R-optimum points. The D-A-R optimum points are constructed by Imperialist Competitive Algorithm (ICA). The value of the optimal approach is also compared with a uniform approach using equidistant points through actual readings. The results show the increased accuracy and precision of measurement using optimum approach. This increased accuracy allows the application of MEMs to sense smaller changes in pore pressure readings providing unique opportunity for passive estimation of subsurface properties.

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Section: Introductionmentioning

confidence: 99%

Calibration approach to quantify nonlinearity of MEMS pore pressure sensors using optimal interpolation

Barzegar¹,

Tadich²,

Sainsbury³

et al. 2022

Meas. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…In order to improve the measurement accuracy of the GyroWheel, Hall studied the problems of GyroWheel calibration, which was used to avoid the influence of changes in temperature and gravitational acceleration [ 14 ]. In addition, a D-optimal multi-position calibration method was developed to reduce the influence of random noises [ 15 , 16 ]. However, neither the accuracy loss caused by zero tilt linearization nor the identification of system parameters has been considered in these studies.…”

Section: Introductionmentioning

confidence: 99%

Angular Rate Sensing with GyroWheel Using Genetic Algorithm Optimized Neural Networks

Zhao

Huo

et al. 2017

Sensors

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GyroWheel is an integrated device that can provide three-axis control torques and two-axis angular rate sensing for small spacecrafts. Large tilt angle of its rotor and de-tuned spin rate lead to a complex and non-linear dynamics as well as difficulties in measuring angular rates. In this paper, the problem of angular rate sensing with the GyroWheel is investigated. Firstly, a simplified rate sensing equation is introduced, and the error characteristics of the method are analyzed. According to the analysis results, a rate sensing principle based on torque balance theory is developed, and a practical way to estimate the angular rates within the whole operating range of GyroWheel is provided by using explicit genetic algorithm optimized neural networks. The angular rates can be determined by the measurable values of the GyroWheel (including tilt angles, spin rate and torque coil currents), the weights and the biases of the neural networks. Finally, the simulation results are presented to illustrate the effectiveness of the proposed angular rate sensing method with GyroWheel.

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“…The goal of calibration tests is to fully characterize the outputs of the inertial instruments so that a nonideal behavior can be modelled and compensated [5,[7][8][9][10]. Generally, calibration tests are carried out using a turntable to provide the intended orientation of the GyroWheel.…”

Section: Introductionmentioning

confidence: 99%

Error Analysis and Error Allocation for Turntable Systems Used in GyroWheel Calibration Tests

Zhao

Huo

et al. 2017

International Journal of Aerospace Engineering

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Calibration tests are of great importance to ensure rate-sensing accuracy of GyroWheel, an innovative attitude determination and control device. In the process of calibration tests, turntable errors are inevitable, which hinder the calibration accuracy and ratesensing capability. Hence, error analysis for GyroWheel calibration tests is conducted, and the relationship between the calibration accuracy and the orientation error is established based on analytical derivation and numerical simulations. Subsequently, an error model of the turntable system is derived using rigid body kinematics, by which the relationship between the orientation error and turntable errors is described. According to sensitivity analysis and manufacturing capability, an error allocation method is proposed to determine the accuracy requirement of the test turntable, and the effectiveness of the proposed method is verified by repeated simulation tests. Based on the presented analysis and proposed method in this paper, the effects of various turntable errors on the calibration accuracy can be obtained quantitatively, and a theoretical basis for the determination of the turntable accuracy is provided, which are of great significance to guide the calibration tests and improve the calibration accuracy of GyroWheel.

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A novel calibration procedure for dynamically tuned gyroscope designed by D-optimal approach

Cited by 18 publications

References 15 publications

Calibration approach to quantify nonlinearity of MEMS pore pressure sensors using optimal interpolation

Calibration approach to quantify nonlinearity of MEMS pore pressure sensors using optimal interpolation

Angular Rate Sensing with GyroWheel Using Genetic Algorithm Optimized Neural Networks

Error Analysis and Error Allocation for Turntable Systems Used in GyroWheel Calibration Tests

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