The calibration of a strapdown inertial navigation system is considered in the case of varying temperature. A parameterized model of measurement errors is used to calibrate the inertial sensors. In addition to usual standard parameters, this model contains the coefficients in the temperature dependence. In the author’s previous publications, it is shown that it is possible to estimate these coefficients and the coefficients in the dependence describing the time derivative of temperature as well as the other parameters. The practical application of this author’s approach is based on the following: the time dependence of temperature is determined using the temperature sensors mounted on the navigation system under study. The determination of this derivative on the basis of the temperature sensors is not a trivial problem. In this paper we propose a function to approximate the readings of temperature sensors. The relation between this function and the model of thermal processes inside the navigation system is analyzed. This process is described by the heat conduction equation.

中文翻译：

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温度变化时惯性传感器的校准

在温度变化的情况下考虑捷联惯性导航系统的校准。参数化的测量误差模型用于校准惯性传感器。除了常用的标准参数外，该模型还包含温度相关系数。在作者以前的出版物中，表明可以估计这些系数以及描述温度的时间导数以及其他参数的依赖关系中的系数。作者的方法的实际应用基于以下内容：温度的时间依赖性是使用安装在研究中的导航系统上的温度传感器确定的。在温度传感器的基础上确定该导数不是小问题。在本文中，我们提出了一种近似温度传感器读数的功能。分析了该功能与导航系统内部热过程模型之间的关系。该过程由导热方程式描述。