大高差阵列GNSS拓扑约束解耦的形变提取模型

A Deformation Extraction Model for Large Height-Difference Array GNSS Decoupled by Topological Constraints

  • 摘要: 针对超高层建筑施工期受限空间下全球导航卫星系统(global navigation satellite system, GNSS)动态解算发散与参数恶性耦合的问题,提出一种大高差阵列GNSS拓扑约束解耦的形变提取模型。在观测域,构建融合预测新息残差、高度角与信噪比的抗差观测模型;在状态域,通过对阵列GNSS共享残余对流层延迟参数建模,将结构先验物理信息通过增广矩阵约束滤波量测更新环节,实现误差脱耦。结果表明,多维特征定权模型能将高仰角下的畸变信号观测噪声标准差自适应放大1.8~2.0倍;四天线阵列协同残余对流层延迟的标准差下降至0.179 mm/s,较单节点下降了44.06%,模糊度固定率提高了14.02%;三维形变的平面95%误差概率圆半径缩减49.88%,高程最大误差较线状约束降低37.78%,为大型复杂工程的受限空间长周期动态安全监测提供稳定的算法。

     

    Abstract:
    Objectives To address the problems of solution divergence and severe parameter coupling in global navigation satellite system (GNSS) dynamic positioning under confined environments during the construction of super-tall buildings, a deformation extraction model based on topology-constrained decoupling of large height-difference array GNSS is proposed.
    Methods In the observation domain, a robust observation model integrating predicted innovation residuals, satellite elevation angles, and signal-to-noise ratio was constructed. In the state domain, a shared residual tropospheric delay parameter was modeled for the GNSS array, and the prior structural physical information was incorporated into the filter measurement update process through an augmented matrix constraint, thereby achieving parameter decoupling.
    Results The results show that the multi⁃dimensional feature-weighting model can adaptively enlarge the observation noise standard deviation of distorted signals at high elevation angles by 1.8⁃2.0 times. Under the four-antenna array collaborative scheme, the standard deviation of the residual tropospheric delay decreases to 0.179 mm/s, which represents a reduction of 44.06% compared with the single-node solution, while the ambiguity fixing rate increases by 14.02%. In addition, the 95% circular error probable of three-dimensional deformation is reduced by 49.88%, and the maximum vertical error decreases by 37.78% compared with the linear-constraint solution.
    Conclusions The proposed method provides a stable algorithmic framework for long-term dynamic safety monitoring of large-scale complex engineering structures in confined environments.

     

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