基于改进GM(1,1)模型的激光陀螺仪随机误差预测 下载: 1201次
Prediction of the Random Error of a Laser Gyroscope Using the Modified GM (1, 1) Model
火箭军工程大学导弹工程学院, 陕西 西安 710025
图 & 表
图 1. 预测步骤图
Fig. 1. Prediction step diagram
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图 2. 实验装置图
Fig. 2. Diagram of experimental equipment
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图 3. 传统灰色预测算法量测噪声系数预测图。 (a) X轴量测噪声系数;(b) Y轴量测噪声系数;(c) Z轴量测噪声系数
Fig. 3. Noise coefficient prediction graphs measured by traditional grey prediction algorithm. (a) X-axis measuremental noise coefficient; (b) Y-axis measuremental noise coefficient; (c) Z-axis measuremental noise coefficient
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图 4. 小波滤波后数据序列曲线图
Fig. 4. Data sequence curves after wavelet filtering
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图 5. 改进算法量测噪声系数预测图。 (a) X轴量测噪声系数;(b) Y轴量测噪声系数; (c) Z轴量测噪声系数
Fig. 5. Noise coefficient prediction graphs measured improved coefficient. (a) X-axis measuremental noise coefficient; (b) Y-axis measuremental noise coefficient; (c) Z-axis measuremental noise coefficient
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图 6. 激光陀螺仪随机误差预测曲线图。 (a)量测噪声系数;(b)角度随机游走系数; (c)零偏不稳定性系数
Fig. 6. Random error prediction curves of laser gyroscope. (a) Measuremental noise coefficient; (b) angle random walk coefficient; (c) coefficient of zero deviation instability
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表 1传统GM(1,1)模型随机误差预测方差比
Table1. Variance ratios of random error prediction by traditional GM (1,1) model
Coefficient ofrandom error | Q | N | B | K | R |
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X-axis variance ratio | 0.53 | 0.52 | 0.49 | 0.52 | 0.56 | Y-axis variance ratio | 0.50 | 0.53 | 0.53 | 0.53 | 0.53 | Z-axis variance ratio | 0.54 | 0.59 | 0.59 | 0.59 | 0.59 |
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表 2GM(1,1)模型精度分级
Table2. Accuracy classification of GM (1,1) model
Precision grade | 1 | 2 | 3 | 4 |
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C | <0.35 | <0.5 | <0.65 | ≥0.65 |
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表 3改进GM(1,1)模型随机误差预测方差比
Table3. Variance ratios of random error prediction by modified GM (1,1) model
Coefficient ofrandom error | Q | N | B | K | R |
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X-axis variance ratio | 0.26 | 0.25 | 0.27 | 0.274 | 0.27 | Y-axis variance ratio | 0.15 | 0.28 | 0.27 | 0.27 | 0.27 | Z-axis variance ratio | 0.16 | 0.14 | 0.14 | 0.14 | 0.14 |
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李想, 汪立新, 沈强. 基于改进GM(1,1)模型的激光陀螺仪随机误差预测[J]. 光学学报, 2020, 40(12): 1204001. Xiang Li, Lixin Wang, Qiang Sheng. Prediction of the Random Error of a Laser Gyroscope Using the Modified GM (1, 1) Model[J]. Acta Optica Sinica, 2020, 40(12): 1204001.