基于D-最优的加速度计重力场试验优化设计

Optimal design of accelerometer experiment in gravitational field based on D-optimal theory

为了提高加速度计在重力场翻滚试验中的试验效率,应用D-最优理论对该试验进行了优化设计,根据加速度计不同的模型形式提出了不同的试验方案,并给出了工程实用的D-最优数值算法,通过该算法能够得到更合理的试验位置数和在该位置上的重复次数。仿真和试验结果均表明,该试验方案与以往的试验方案相比,在不降低辨识精度的前提下,减少了试验位置数,进而缩短了试验时间,提高了试验的效率。

In order to increase the experiment efficiency of accelerometer calibration in gravitational field, the D-optimal theory was applied in experimental optimal design. Based on various models of accelerometer, the corresponding experimental scheme was proposed, and a practical engineering-oriented D-optimal algorithm was presented. According to this method, the test positions and their repetitive times can be calculated more reasonable. The simulation and experiments demonstrate that the number of experimental positions is decreased, and the test time is reduced without lowering the accuracy of identification. So the experiment efficiency is enhanced.