Liu Q B, Ren S Q, Wang C H
Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China.
Rev Sci Instrum. 2020 Dec 1;91(12):125007. doi: 10.1063/5.0030924.
In order to calibrate the error model coefficients of the platform inertial navigation system tested on the precision centrifuge accurately, the error sources of the precision centrifuge are analyzed first. Combined with the error models of the inertial instruments (liquid floated gyroscope and quartz accelerometer) in the platform inertial navigation system, the calibration model of the platform inertial navigation system tested on the centrifuge, i.e., the state equation and observation equation, is deduced. The Euler angles of the platform, the error model coefficients of the inertial instruments, the installation errors of the instruments, and especially the centrifuge errors are taken as the state variables of the system, and the outputs of the accelerometers, and the Euler angles of the platform are taken as the observation variables. Then, the calibration scheme of the platform inertial navigation system tested on the centrifuge is designed, and the corresponding simulation analysis is carried out. The error model coefficients of the instruments are estimated by the extended Kalman filter. The influence of centrifuge errors on the calibration results is analyzed, which verified that the proposed method can effectively eliminate the influence. Thereby, the calibration accuracy of the inertial navigation platform system is improved, especially high-order error coefficients.
为了精确校准在精密离心机上测试的平台惯性导航系统的误差模型系数,首先分析了精密离心机的误差源。结合平台惯性导航系统中惯性仪表(液浮陀螺仪和石英加速度计)的误差模型,推导了在离心机上测试的平台惯性导航系统的校准模型,即状态方程和观测方程。将平台的欧拉角、惯性仪表的误差模型系数、仪表的安装误差,特别是离心机误差作为系统的状态变量,将加速度计的输出和平台的欧拉角作为观测变量。然后,设计了在离心机上测试的平台惯性导航系统的校准方案,并进行了相应的仿真分析。采用扩展卡尔曼滤波器估计仪表的误差模型系数。分析了离心机误差对校准结果的影响,验证了所提方法能有效消除该影响。从而提高了惯性导航平台系统的校准精度,尤其是高阶误差系数的校准精度。