Acta Geodaetica et Cartographica Sinica ›› 2024, Vol. 53 ›› Issue (9): 1761-1776.doi: 10.11947/j.AGCS.2024.20230371
• Geodesy and Navigation • Previous Articles Next Articles
Jianhua CHENG(
), Sicheng CHEN, Nan ZANG(
), Sixiang CHENG, Guojing ZHAO, Zifan MA
Received:2023-09-07
Online:2024-10-16
Published:2024-10-16
Contact:
Nan ZANG
E-mail:ins_cheng@163.com;zang6050@163.com
About author:CHENG Jianhua (1977—), male, PhD, professor, majors in SINS and integration technology. E-mail: ins_cheng@163.com
Supported by:CLC Number:
Jianhua CHENG, Sicheng CHEN, Nan ZANG, Sixiang CHENG, Guojing ZHAO, Zifan MA. PPP/INS tightly integrated enhancement model considering adaptive short-term height variation rate constraint[J]. Acta Geodaetica et Cartographica Sinica, 2024, 53(9): 1761-1776.
Tab.1
Performance parameters of IMU"
| 参数 | 陀螺仪 | 加速度计 | ||||
|---|---|---|---|---|---|---|
| SPAN CPT | KVH1750 | μIMU | SPAN CPT | KVH1750 | μIMU | |
| 初始零偏 | 20°/h | 2°/h | — | 0.5 m/s2 | 2×10-2 m/s2 | — |
| 零偏不稳定性 | 1°/h | 0.07°/h | — | 7.5×10-2 m/s2 | 7.5×10-2 m/s2 | 7.5×10-2 m/s2 |
| 零偏稳定性 | — | — | 6°/h | — | — | — |
| 比例因子 | 1500×10-6 | ≤50×10-6 | ≤1400×10-6 | 4000×10-6 | ≤100×10-6 | ≤1500×10-6 |
| 随机游走 | 0.067°/sqrt(h) | 0.012°/sqrt(h) | 0.3°/sqrt(h) | 5.5×10-4/sqrt(Hz) | 1.17×10-3/sqrt(Hz) | 2.5×10-4/sqrt(Hz) |
Tab.3
Satellite partial and complete outages settings"
| 路段 | 数据集1 | 数据集2 | ||||
|---|---|---|---|---|---|---|
| 遮挡路段时间/s | 坡度/(%) | 高度截止角/(°) | 遮挡路段时间/s | 坡度/(%) | 高度截止角/(°) | |
| 路段1 | 139~168 | 1.44 | 90 | 408~427 | 0.16 | 78,70 |
| 路段2 | 507~526 | -0.80 | 78 | 498~612 | 0.45 | 78 |
| 路段3 | 747~776 | 1.14 | 78 | 653~672 | 7.69~-4.09 | 70 |
| 路段4 | 1142~1161 | 0.57 | 70 | 723~742 | 9.52~-0.53 | 80 |
| 路段5 | 1352~1381 | -0.64 | 70,90 | 793~807 | 0.55 | 70 |
| 路段6 | 1637~1656 | 1.74 | 70 | 873~892 | 0.53~-2.24 | 78 |
Tab.6
RMS and absolute maximum height positioning errors of dataset 1"
| 模型 | 路段1 | 路段2 | 路段3 | 路段4 | 路段5 | 路段6 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | |
| 1 | 0.45 | 0.66 | 0.21 | 0.24 | 0.93 | 1.18 | 0.72 | 0.89 | 0.47 | 0.59 | 0.10 | 0.18 |
| 2 | 1.60 | 2.33 | 2.56 | 2.73 | 2.85 | 3.20 | 3.35 | 3.56 | 3.14 | 3.62 | 2.94 | 3.38 |
| 3 | 1.23 | 1.88 | 2.13 | 2.26 | 2.33 | 2.62 | 2.62 | 2.82 | 2.46 | 2.90 | 2.40 | 2.67 |
| 4 | 0.44 | 0.64 | 0.01 | 0.02 | 0.42 | 0.48 | 0.20 | 0.29 | 0.06 | 0.10 | 0.06 | 0.09 |
Tab.7
RMS and absolute maximum height positioning errors of dataset 2"
| 模型 | 路段1 | 路段2 | 路段3 | 路段4 | 路段5 | 路段6 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | |
| 1 | 0.09 | 0.18 | 0.25 | 0.33 | 1.11 | 1.69 | 0.68 | 0.78 | 0.73 | 0.93 | 1.13 | 1.19 |
| 2 | 0.24 | 0.40 | 0.82 | 1.00 | 1.28 | 1.47 | 1.24 | 1.38 | 1.15 | 1.27 | 1.62 | 1.88 |
| 3 | 0.19 | 0.34 | 0.71 | 0.84 | 1.04 | 1.21 | 0.95 | 1.07 | 0.79 | 0.91 | 1.23 | 1.45 |
| 4 | 0.03 | 0.09 | 0.08 | 0.12 | 0.18 | 0.38 | 0.25 | 0.34 | 0.11 | 0.19 | 0.13 | 0.16 |
Tab.8
Positioning errors in three directions by different models under different interruption times of dataset 1 and dataset 2"
| 数据集 | 模型 | 30 s | 60 s | 90 s | 120 s | 150 s | 180 s | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 高程 | 三维 | 高程 | 三维 | 高程 | 三维 | 高程 | 三维 | 高程 | 三维 | 高程 | 三维 | ||
| 数据集1 | 1 | 0.90 | 4.92 | 0.73 | 18.67 | 1.19 | 43.26 | 2.35 | 90.55 | 3.64 | 164.73 | 5.43 | 269.83 |
| 2 | 1.60 | 5.93 | 2.56 | 71.93 | 3.34 | 169.15 | 4.28 | 314.10 | 5.01 | 468.13 | 5.59 | 660.06 | |
| 3 | 1.87 | 5.13 | 2.85 | 17.19 | 3.62 | 45.31 | 4.56 | 119.43 | 5.30 | 206.17 | 5.91 | 337.80 | |
| 4 | 0.82 | 4.88 | 0.71 | 18.06 | 0.59 | 41.84 | 0.53 | 71.47 | 0.63 | 105.24 | 0.95 | 163.40 | |
| 数据集2 | 1 | 0.16 | 0.91 | 0.20 | 3.22 | 1.28 | 7.78 | 3.77 | 15.15 | 7.71 | 25.51 | 13.02 | 38.01 |
| 2 | 0.20 | 0.91 | 0.27 | 3.11 | 0.57 | 11.71 | 0.91 | 31.19 | 0.82 | 68.10 | 0.81 | 104.98 | |
| 3 | 0.23 | 0.96 | 0.30 | 3.67 | 0.59 | 13.66 | 0.94 | 40.35 | 0.85 | 61.93 | 0.84 | 113.56 | |
| 4 | 0.10 | 0.32 | 0.12 | 1.60 | 0.57 | 6.77 | 1.07 | 17.19 | 1.44 | 36.39 | 1.88 | 60.42 | |
Tab.11
RMS and absolute maximum height positioning errors of dataset 3"
| 模型 | 路段1 | 路段2 | 路段3 | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 691~699 s | 739~741 s | 744 s | 758 s | 848~876 s | ||||||
| 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | 均方根 | 最大值 | |
| 1 | 0.05 | 0.08 | 2.03 | 2.08 | 1.54 | 1.54 | 0.99 | 0.99 | 1.27 | 2.68 |
| 2 | 0.20 | 0.34 | 0.91 | 1.04 | 1.48 | 1.48 | 1.95 | 1.95 | 1.58 | 1.73 |
| 3 | 0.12 | 0.23 | 0.72 | 0.77 | 0.80 | 0.80 | 0.90 | 0.90 | 0.98 | 1.18 |
| 4 | 0.05 | 0.07 | 0.07 | 0.11 | 0.14 | 0.14 | 0.44 | 0.44 | 0.54 | 0.86 |
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