D-optimal six position testing method for dynamically tuned gyro
-
摘要: 为了以较低的试验成本获得较高的挠性陀螺静态误差模型系数估计精度,提出了一种基于D-最优准则和正交试验设计的优化地理坐标六位置试验方案.为了验证D-最优地理坐标六位置试验方案的有效性,进行了多次D-最优地理坐标六位置试验和ANSI/IEEE Std 813-1988中规定的地理坐标八位置试验.试验结果表明,在试验成本较低的情况下,D-最优地理坐标六位置试验方案不仅可以估计出挠性陀螺简化静态误差模型系数,而且其估计精度比ANSI/IEEE Std 813-1988中规定的地理坐标八位置试验方案的估计精度略高.Abstract: The construction of a D-optimal six position experimental design for the two-degree of freedom dynamically tuned gyroscope was presented, in order to improve estimate accuracy of the acceleration-insensitive drift rate and acceleration-sensitive drift rate coefficients of the assumed error model at reasonable experimental cost. The basis idea is to choose six measurement positions to build a D-optimal experiment by applying the symmetric separate design method of orthogonal design. In order to test the efficiency of D-optimal six position experimental design, a series of lab tests were conducted to compare the coefficients solution computed with a usual experimental design in ANSI/IEEE Std 813-1988 and the D-optimal six position experimental design. Tests results show that the D-optimal six position experimental design provides at least same accurate estimates of the acceleration-insensitive drift rate and acceleration-sensitive drift rate coefficients compared to a usual experimental design in ANSI/IEEE Std 813-1988 at less experimental cost .
-
Key words:
- experiments /
- gyroscopes /
- optimization
-
[1] 王惠文,孟洁.多元线性回归的预测建模方法[J].北京航空航天大学学报,2007,33(4):500-504 Wang Huiwen, Meng Jie. Predictive modeling on multivariate linear regression [J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(4): 500-504 ( in Chinese) [2] 何麟书,刘刚.一种求解函数全局优化问题的正交方向法[J].北京航空航天大学学报,2005,31(4):425-429 He Linshu, Liu Gang. Orthogonal direction algorithm for global function optimization[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(4): 425-429 ( in Chinese) [3] 许国祯.惯性技术手册[M].北京:中国宇航出版社,1995:12-14 Xu Guozhen. Inertial technology handbook[M]. Beijing: China Astronautics Publishing House, 1995: 12-14 (in Chinese) [4] 徐利治.现代数学手册[M].武汉:华中科技大学出版社,2000:140-142 Xu Lizhi. Modern mathematics handbook[M]. Wuhan: Huazhong University of Science and Technology Press, 2000: 140-142 ( in Chinese) [5] 方开泰,马长兴,李久坤.正交设计的最新发展和应用-正交设计的D最优性[J].数理统计与管理,1999,18(4):43-52 Fang Kaitai, Ma Changxing, Li Jiukun. Recent develop of orthogonal factorial designs and their applications D-optimality of orthogonal designs[J]. Application of Statistics and Management, 1999, 18(4): 43-52 ( in Chinese). [6] ANSI/IEEE Std 813-1988, IEEE specification format guide and Test procedure for two-degree-of freedom dynamically tuned gyros[S] -
点击查看大图
计量
- 文章访问数: 2971
- HTML全文浏览量: 205
- PDF下载量: 888
- 被引次数: 0
下载:
