arXiv:2606.06308cs.RO2026-06

用姿态信息实现低成本三轴加速度计的线性校准,无需昂贵设备。

Attitude-Aided Linear Calibration of Triaxial Accelerometers

  • 利用平台姿态构建统一误差模型,实现线性最小二乘求解。
  • 仅需5个任意姿态测量,静态下闭式求解,精度优于基准方法。
  • 适合低功耗、在线校准场景,如机器人或移动IMU系统。

三轴MEMS加速度计广泛用于惯性传感、导航与传感器融合,但现有校准方法常依赖昂贵参考装置或非线性迭代优化,限制了其在低成本或自校准系统中的应用。本文提出姿态辅助线性加速度计校准(ALAC),适用于提供姿态信息的任意平台,如转台、机械臂或惯性测量单元。ALAC构建联合误差矩阵(CEM)以统一建模传感器误差,并支持线性最小二乘估计。偏置与重力矢量联合估计,隐含处理平台安装误差;通过CEM矩阵分解恢复尺度、非正交性和对齐旋转参数。在静态重力条件下,校准被表述为约束齐次最小二乘(CHLS)问题,采用标准线性代数方法闭式求解。仅需五个任意姿态测量,递归扩展支持在线或现场校准。实验在静止机器人安装的加速度计及准静态公开IMU轨迹上进行,ALAC在离线与在线模式下均优于基于参考和在线基线方法,在滤波条件下与迭代自校准相当,且在原始数据上超越所有对比方法。结果表明,该方法为基于MEMS的惯性平台提供了鲁棒实用的校准方案,尤其适用于低成本IMU与在线校准场景。

原文摘要 · Abstract (English)

Triaxial MEMS accelerometers are widely used for inertial sensing, navigation, and sensor fusion, but existing calibration methods often rely on costly reference setups or nonlinear iterative optimization, limiting their efficiency and applicability to low-cost or self-calibrating systems. We present attitude-aided linear accelerometer calibration (ALAC), a method that operates on any platform providing orientation information, such as turntables, robotic arms, or inertial measurement units. ALAC constructs a combined error matrix (CEM) to represent sensor errors in a unified calibration model and enables linear least-squares estimation. The bias and gravity vector are jointly estimated, implicitly accounting for platform misalignment, and matrix decomposition of the CEM recovers scale, non-orthogonality, and alignment rotation parameters. Under static gravity, calibration is formulated as a constrained homogeneous least-squares (CHLS) problem and solved in closed form using standard linear algebra. Only five arbitrarily oriented measurements are required, and a recursive extension supports online or in-field calibration. Experiments on a stationary robot-mounted accelerometer and a quasi-static public IMU trajectory show that ALAC, in both offline and online modes, outperforms reference-based and online baselines in accuracy and robustness to sensor noise. On the same dataset, it matches iterative self-calibration under filtered conditions and surpasses all evaluated baselines on raw measurements. These results demonstrate a robust and practical calibration scheme for MEMS-based inertial platforms, especially low-cost IMUs and online calibration scenarios.

加速度计校准线性算法姿态辅助低功耗

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。