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arXiv 2601.03097cs.ROcs.SYeess.SYmath.OC
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双四元数学习控制用于具有安全保证的自动驾驶轨迹跟踪

Dual-quaternion learning control for autonomous vehicle trajectory tracking with safety guarantees

Universidad Politécnica de Madrid(西班牙马德里理工大学);School of Science and Technology, IE University(IE大学科学与技术学院);Universidad de San Andrés (UdeSA) and CONICET(阿根廷圣安德烈斯大学(UdeSA)和CONICET);Centre for Automation and Robotics (CSIC-UPM)(自动化与机器人中心(CSIC-UPM))

Omayra Yago Nieto, Alexandre Anahory Simoes, Juan I. Giribet, Leonardo Colombo

AI总结:

本文提出基于双四元数的学习控制方法,用于自主机器人在存在扰动时实现鲁棒的轨迹跟踪。

摘要:

我们提出了一种基于学习的轨迹跟踪控制器,用于其运动可以动力学地描述在SE(3)上的自主机器人平台。该控制器是在双四元数框架中提出的,并在速度层面运行,假设可以直接控制角速度和线速度,这在许多空中车辆和 omnidirectional 移动机器人中是标准做法。高斯过程(GP)回归被整合到几何反馈律中,以学习并在线补偿未知的、状态依赖的扰动和影响姿态和位置的建模不完美之处,同时保持刚体运动固有的代数结构和耦合特性。所提出的方法不依赖于未知效应的显式参数模型,使其非常适合受传感器引起的扰动、未建模的执行器耦合和环境不确定性的机器人系统。基于李雅普诺夫的分析建立了在GP不确定性受限下的姿态跟踪误差的概率最终有界性,为基于学习的控制器提供了正式的稳定性保证。模拟结果展示了在存在现实的、局部的扰动情况下,能够实现准确且平滑的轨迹跟踪,包括来自磁力计扰动引起的相关旋转和翻译效应。这些结果展示了结合几何建模和概率学习以实现稳健、数据高效姿态控制的潜力,用于自主机器人系统。

英文摘要:

We propose a learning-based trajectory tracking controller for autonomous robotic platforms whose motion can be described kinematically on $\mathrm{SE}(3)$. The controller is formulated in the dual quaternion framework and operates at the velocity level, assuming direct command of angular and linear velocities, as is standard in many aerial vehicles and omnidirectional mobile robots. Gaussian Process (GP) regression is integrated into a geometric feedback law to learn and compensate online for unknown, state-dependent disturbances and modeling imperfections affecting both attitude and position, while preserving the algebraic structure and coupling properties inherent to rigid-body motion. The proposed approach does not rely on explicit parametric models of the unknown effects, making it well-suited for robotic systems subject to sensor-induced disturbances, unmodeled actuation couplings, and environmental uncertainties. A Lyapunov-based analysis establishes probabilistic ultimate boundedness of the pose tracking error under bounded GP uncertainty, providing formal stability guarantees for the learning-based controller. Simulation results demonstrate accurate and smooth trajectory tracking in the presence of realistic, localized disturbances, including correlated rotational and translational effects arising from magnetometer perturbations. These results illustrate the potential of combining geometric modeling and probabilistic learning to achieve robust, data-efficient pose control for autonomous robotic systems.

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。

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