arXiv:2603.27177eess.SYcs.RO2026-03

为无人机设计了满足侧向加速度限制的路径跟踪引导方法

Path-Following Guidance for Unmanned Aerial Vehicle with Bounded Lateral Acceleration

  • 采用嵌套饱和控制,直接将侧向加速度约束融入引导设计
  • 实现横向误差指数收敛,控制输入始终在物理限值内
  • 适合实际飞行器应用,对扰动有强鲁棒性

本文针对无人飞行器在显式执行器约束下的三维路径跟踪引导问题提出新方法。与传统假设控制输入无界或启发式处理饱和不同,该方法将有限侧向加速度直接纳入引导设计。通过基于嵌套饱和的非线性引导框架,确保控制输入有界且横向误差指数收敛至零。该方法基于路径切线坐标系,系统地从平面推广到三维场景,适用于一般光滑路径。基于李雅普诺夫理论的严格稳定性分析证明了闭环系统的收敛性和可行性。数值仿真在直线、圆形和正弦路径上均表明,相比现有引导律,该方法具有更优跟踪性能、更低控制能耗和更强抗干扰能力。设计简洁,兼容实际执行器限制,适用于真实无人机应用。

原文摘要 · Abstract (English)

This paper addresses the three-dimensional path-following guidance problem for unmanned aerial vehicles under explicit actuator constraints. Unlike conventional approaches that assume unbounded control inputs or handle saturation heuristically, the proposed method incorporates bounded lateral acceleration directly into the guidance design. A nonlinear guidance framework is developed employing a nested saturation-based control technique. The proposed guidance strategy guarantees bounded control inputs while ensuring exponential convergence of cross-track errors to zero. The formulation is applicable to general smooth paths and is systematically extended from planar to three-dimensional scenarios using a path-tangent coordinate framework. Rigorous stability analysis based on Lyapunov theory establishes convergence and feasibility properties of the closed-loop system. Numerical simulations on representative paths, including straight-line, circular, and sinusoidal paths, demonstrate that the proposed method achieves superior tracking performance, reduced control effort, and robustness against disturbances compared to existing guidance laws. The simplicity of the design and its compatibility with practical actuator limits make it suitable for real-world UAV applications.

无人机路径跟踪控制设计非线性控制

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