arXiv:2608.10542cs.RO2026-08中稿 · IEEE/ASME Internat…

用凸优化方法实现抗扰动无人机空中对接,稳定可靠。

Nonlinear Model Predictive Control via Sequential Convex Programming for Drone-to-Drone Docking

论文配图:Nonlinear Model Predictive Control via Sequential Convex Programming for Drone-to-Drone Docking
图 1 · 摘自论文原文
  • 基于序贯凸规划求解带扰动的非线性控制问题
  • 对接锥角小至10度仍保持低误差与高成功率
  • 适合需要高鲁棒性的空中对接场景

多旋翼无人机在扰动驱动的目标运动下实现自主空中对接,面临带有约束的非线性轨迹优化挑战。本文基于简化非线性模型并引入扰动状态,将对接任务建模为有限时域最优控制问题。采用序贯凸规划(SCP)结合滚动时域框架求解,生成动态可行的对接轨迹。通过含噪声测量的状态估计实现鲁棒相对运动预测,轨迹执行在高保真刚体MuJoCo仿真环境中验证。评估涵盖静止与匀速目标运动,结果表明系统可可靠收敛至对接接口,满足几何捕获约束。定量结果显示,对接锥违规极小,终端状态误差在容许范围内,对锥半角低至10度的情况也能实现一致且安全的对接。在风扰动标准差达0.5时仍保持稳定运行,接近速度与控制努力均受控。这些结果证明了该基于SCP的轨迹优化框架在估计不确定性下的抗扰空中对接有效性。

原文摘要 · Abstract (English)

Autonomous mid-air docking of multi-rotor vehicles under disturbance-driven target motion poses a constrained non-linear trajectory optimization challenge. This work formulates the docking task as a finite-horizon optimal control problem based on a reduced-order nonlinear model augmented with disturbance states. The resulting problem is solved using sequential convex programming within a receding-horizon framework to generate dynamically feasible docking trajectories. State estimation with noisy measurements is incorporated to enable robust relative motion prediction, while trajectory execution is validated in a high-fidelity rigid-body MuJoCo simulation environment. The proposed framework is evaluated for stationary and constant-velocity target motions, demonstrating reliable convergence to the docking interface while satisfying geometric capture constraints. Quantitatively, the method maintains negligible docking-cone violations and terminal state errors within prescribed tolerances, and achieves consistent, safe docking performance for cone half-angles as low as 10 degrees. Robust operation is observed for wind disturbance levels up to a standard deviation of 0.5, while preserving bounded approach velocities and stable control effort. These results demonstrate the effectiveness of the SCP-based trajectory optimization framework for disturbance-robust aerial docking under estimation uncertainty.

无人机对接凸优化鲁棒控制轨迹规划

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