离心机上辨识陀螺加速度计二次项系数的优化试验设计

提出了一种在带有反转平台的精密离心机上标定陀螺加速度计误差模型二次项系数K 2的D-最优试验方案。应用该D-最优试验方案,通过重复试验,能够在测试点最少的情况下获得高测试精度,实现陀螺加速度计误差模型系数的最优(D-最优的)辨识。推导了测量随机误差、试验方案的测试点、测试点的重复测试次数以及误差模型系数方差之间的关系式。精度分析的结果表明,应用D-最优试验方案,采取重复试验的方法,能够有效地减小二次项系数K的估计量的方差,从而提高K的辨识精度。

Optimal design of test plan for identifying second-order coefficient of PIGA on a centrifuge

A D-optimal test scheme was presented for calibrating second-order coefficient K2 of PIGA (Pendulous Integrating Gyro Accelerometer) error model on a precision centrifuge with counter-rotating platform. Using this scheme and by repeated tests, an optimal (D-optimal) identification of PIGA error model coefficients could be realized with least test points and high estimated accuracy. The relation equations among observation random errors, test points of test plan, the test's repeat number of every test point, and the variance of error model coefficient were deduced. The results of precision analysis show that the D-optimal test plan with repeated tests could efficiently reduce the variance of the K2 estimator and improve the estimated accuracy.