arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2602.12487cs.ROcs.LG
收藏

基于梯度增强的分区高斯过程用于实时四旋翼动力学建模

Gradient-Enhanced Partitioned Gaussian Processes for Real-Time Quadrotor Dynamics Modeling

Department of Mechanical Engineering, Boston University(机械工程系,波士顿大学)

Xinhuan Sang, Adam Rozman, Sheryl Grace, Roberto Tron

AI总结:

本文提出一种结合梯度信息的分区高斯过程,用于高效实时四旋翼动力学建模,显著提升精度并降低计算成本。

摘要:

我们提出了一种四旋翼动力学高斯过程(GP),该过程利用梯度信息,通过状态空间分区和近似方法实现实时推断,并利用中保真势流模拟的数据包含空气动力学效应。虽然传统基于GP的方法能提供可靠的贝叶斯预测和不确定性量化,但计算成本高,不适合实时模拟。为解决这一挑战,我们整合梯度信息以提高精度,并引入一种新的分区和近似策略以减少在线计算成本。具体而言,我们为每个不重叠区域关联一个局部GP;通过将训练数据分成局部近和远子集,并利用施尔补元,我们证明了大部分用于推断所需的矩阵求逆可以在离线完成,从而在标准桌面硬件上实现超过30Hz的实时推断。为生成捕捉空气动力学效应(如旋翼-旋翼相互作用和 apparent 风向)的训练数据集,我们使用CHARM代码,这是一种中保真空气动力学求解器。它应用于SUI Endurance四旋翼以预测力和扭矩,以及在三个指定位置的噪声。导数信息通过有限差分获得。实验结果表明,所提出的带梯度条件的分区GP比无梯度信息的常规分区GP具有更高的精度,同时大大减少了计算时间。该框架为复杂和不稳定的环境中实时空气动力学预测和控制算法提供了高效的基础。

英文摘要:

We present a quadrotor dynamics Gaussian Process (GP) with gradient information that achieves real-time inference via state-space partitioning and approximation, and that includes aerodynamic effects using data from mid-fidelity potential flow simulations. While traditional GP-based approaches provide reliable Bayesian predictions with uncertainty quantification, they are computationally expensive and thus unsuitable for real-time simulations. To address this challenge, we integrate gradient information to improve accuracy and introduce a novel partitioning and approximation strategy to reduce online computational cost. In particular, for the latter, we associate a local GP with each non-overlapping region; by splitting the training data into local near and far subsets, and by using Schur complements, we show that a large part of the matrix inversions required for inference can be performed offline, enabling real-time inference at frequencies above 30 Hz on standard desktop hardware. To generate a training dataset that captures aerodynamic effects, such as rotor-rotor interactions and apparent wind direction, we use the CHARM code, which is a mid-fidelity aerodynamic solver. It is applied to the SUI Endurance quadrotor to predict force and torque, along with noise at three specified locations. The derivative information is obtained via finite differences. Experimental results demonstrate that the proposed partitioned GP with gradient conditioning achieves higher accuracy than standard partitioned GPs without gradient information, while greatly reducing computational time. This framework provides an efficient foundation for real-time aerodynamic prediction and control algorithms in complex and unsteady environments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑