舰船倾角仪易受非线性特性与动态干扰影响，导致测量精度下降。本文针对这一问题，提出多项式拟合补偿与自适应卡尔曼滤波相结合的解决方案，前者通过多项式函数拟合与最小二乘法，将静态非线性误差从2.5°降至0.6°以内；后者依托预测-更新-自适应调整三阶段机制，动态优化噪声协方差，提升舰船动态工况下的测量实时性与抗干扰能力。实验验证表明，两种算法协同作用可有效提升倾角测量精度，为舰船姿态监测提供可靠数据支撑。
The ship inclinometer is susceptible to nonlinear characteristics and dynamic interference, resulting in a decrease in measurement accuracy. This paper proposes a solution that combines polynomial fitting compensation with adaptive Kalman filtering to address this issue. The former reduces the static nonlinear error from 2.5° to within 0.6° through polynomial function fitting and the least square method. The latter relies on a three-stage mechanism of prediction - update - adaptive adjustment to dynamically optimize the noise covariance and enhance the real-time measurement performance and anti-interference ability of ships under dynamic working conditions. Experimental verification shows that the combined effect of the two algorithms can effectively improve the accuracy of tilt Angle measurement and provide reliable data support for ship attitude monitoring.
2025,47(18): 180-184 收稿日期：2025-3-11
DOI：10.3404/j.issn.1672-7649.2025.18.030
分类号：U667.65
基金项目：延安大学西安创新学院2024年科研攀登（I类）项目（2024XJKY01）；2024年度陕西省重点研发计划重点产业创新链项目（2024GX-ZDCYL-01-24）
作者简介：黄同（1980 – ），男，硕士，副教授，研究方向为现代信号处理、嵌入式系统等
参考文献：
[1] 苑博. 基于MEMS加速度传感器的柔性测斜仪校准方法及实验研究[D]. 杭州: 浙江大学, 2023.
[2] 修睿, 孙丽艳, 郭思诺. 基于融合滤波的MEMS动态倾角仪算法设计[J]. 导航与控制, 2023, 22(4): 81-90.
XIU R, SUN L Y, GUO S N. Algorithm design of MEMS dynamic inclinometer based on fusion filtering[J]. Navigation and Control, 2023, 22(4): 81-90.
[3] 周琳采, 冯立辉, 曾勇超, 等. 基于信号分解和神经网络的微机电陀螺温度补偿方法[J]. 导航与控制, 2025, 21(7): 1-10.
ZHOU L C, FENG L H, ZENG Y C, et al. Temperature compensation method for MEMS gyroscope based on signal decomposition and neural network[J]. Navigation and Control, 2025, 21(7): 1-10.
[4] 宰德广, 周岗, 陈永冰, 等. Kalman滤波在MEMS陀螺仪测量船舶回转率中的应用[J]. 传感器与微系统, 2021, 40(3): 157-160.
ZAI D G, ZHOU G, CHEN Y B, et al. Application of kalman filter in MEMS gyroscope for measuring ship turning rate[J]. Transducer and Microsystem Technologies, 2021, 40(3): 157-160.
[5] 刘青川, 王如松, 崔俊霞. 微机电系统在船舶航姿测量系统的应用[J]. 舰船科学技术, 2017, 39(22): 43-45.
LIU Q C, WANG R S, CUI J X. Application of micro-electro-mechanical system in ship attitude measurement system[J]. Ship Science and Technology, 2017, 39(22): 43-45.
[6] 陈华金. 高精度动态倾角仪误差补偿技术研究[D]. 广州: 广州大学, 2024.
