arXiv:2606.31199cs.ROcs.LG2026-06

用RBF神经网络实时补偿四轴飞行器未建模动态,提升轨迹跟踪精度。

Machine Learning-based Feedback Linearization Control of Quadrotor Subject to Unmodeled Dynamics

论文配图:Machine Learning-based Feedback Linearization Control of Quadrotor Subject to Unmodeled Dynamics
图 1 · 摘自论文原文
  • 基于RBF神经网络在线建模未知非线性动态,无需预先训练。
  • 实测位置和航向误差均降低超7%和49%,收敛更快。
  • 理论保证稳定性和渐近收敛,适合高动态飞行场景应用。

在动态不确定环境下对敏捷四轴飞行器进行控制仍是当前研究的开放问题,尤其当系统完整动力学部分已知或高度非线性时。本文提出一种基于机器学习的反馈线性化控制框架,采用高斯径向基函数(RBF)神经网络实时建模并补偿未建模动态。该控制器利用RBF网络的通用逼近能力建模非线性与不确定性,并通过在线自适应更新网络权重,无需预先训练。控制律基于李雅普诺夫稳定性理论推导,确保闭环稳定,并提供轨迹跟踪任务渐近收敛的理论保证。在搭载Bitcraze Crazyflie 2.1四轴飞行器的Gazebo仿真与真实飞行实验中,面对未知空气阻力、执行器动态及外部干扰等挑战,相比基线反馈线性化控制器,所提方法使位置范数和偏航角均方根误差分别降低超过7.13%和49.27%,实现快速收敛与更优跟踪性能。

原文摘要 · Abstract (English)

The control of agile quadrotors in dynamic and uncertain environments remains an open area of investigation to this day, particularly when the complete system dynamics are partially known or highly nonlinear. This work introduces a novel machine learning-based feedback-linearization control framework that employs a Gaussian Radial Basis Function (RBF) neural network (NN) to model and compensate for unmodeled dynamics in real time. The proposed controller leverages the universal approximation capability of RBF networks to model nonlinearities and uncertainties. An online adaptation of the RBF NN updates the network's weights without prior training. The control law is derived using the Lyapunov stability theory, herein guaranteeing closed-loop stability and providing theoretical guarantee of asymptotic convergence of a trajectory tracking task. Gazebo simulation and real flight experiments are conducted using the Bitcraze's Crazyflie 2.1 quadrotor subject to unmodeled air drag, actuator dynamics, and external disturbance. Despite incomplete knowledge of prior dynamics and presence of external disturbance such as air drag and drift in state estimation, the proposed controller improves trajectory tracking with rapid convergence and reduction of position-norm and yaw orientation RMSE by more than $7.13\%$ and $49.27\%$ respectively compared to baseline feedback linearization controller.

四轴飞行器反馈线性化RBF网络自适应控制

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