arXiv:2602.13166cs.AI2026-02

用模糊规则动态调整无人机避障约束,实现安全与效率的平衡。

Optimal Take-off under Fuzzy Clearances

  • 融合最优控制与模糊系统,动态调节避障约束半径和紧急程度。
  • 单线程环境下每迭代耗时2.3秒,满足近实时应用需求。
  • 适合高安全性要求的无人飞行器路径规划,可扩展至复杂环境。

本文提出一种混合障碍物避让架构,将基于裕度的最优控制与模糊规则系统(FRBS)结合,实现无人飞机的自适应约束处理。受经典最优控制在不确定性下的局限性及航空安全系统对可解释决策的需求启发,设计了三层Takagi-Sugeno-Kang模糊层,根据美国联邦航空局(FAA)和欧洲航空安全局(EASA)的规章最小间隔与适航指南,调节约束半径、紧急等级和激活决策。这些模糊生成的裕度被作为软约束纳入最优控制问题,由FALCON工具箱与IPOPT求解器求解。该框架通过选择性激活避障更新,减少不必要的重新计算,同时保证符合航空程序。使用简化飞机模型的原型验证表明,该方法可在单线程MATLAB环境中实现每迭代2.3秒的计算时间,具备近实时应用可行性。然而实验发现最新版FALCON与IPOPT存在严重软件兼容性问题:拉格朗日惩罚项始终为零,导致约束无法正确执行。该现象在多种场景下一致出现,表明是求解器工具箱的回归问题而非建模错误。未来工作包括回退旧版软件验证该现象、用进化算法优化模糊隶属函数,并将系统拓展至更高保真度飞机模型与随机障碍环境。

原文摘要 · Abstract (English)

This paper presents a hybrid obstacle avoidance architecture that integrates Optimal Control under clearance with a Fuzzy Rule Based System (FRBS) to enable adaptive constraint handling for unmanned aircraft. Motivated by the limitations of classical optimal control under uncertainty and the need for interpretable decision making in safety critical aviation systems, we design a three stage Takagi Sugeno Kang fuzzy layer that modulates constraint radii, urgency levels, and activation decisions based on regulatory separation minima and airworthiness guidelines from FAA and EASA. These fuzzy-derived clearances are then incorporated as soft constraints into an optimal control problem solved using the FALCON toolbox and IPOPT. The framework aims to reduce unnecessary recomputations by selectively activating obstacle avoidance updates while maintaining compliance with aviation procedures. A proof of concept implementation using a simplified aircraft model demonstrates that the approach can generate optimal trajectories with computation times of 2,3 seconds per iteration in a single threaded MATLAB environment, suggesting feasibility for near real time applications. However, our experiments revealed a critical software incompatibility in the latest versions of FALCON and IPOPT, in which the Lagrangian penalty term remained identically zero, preventing proper constraint enforcement. This behavior was consistent across scenarios and indicates a solver toolbox regression rather than a modeling flaw. Future work includes validating this effect by reverting to earlier software versions, optimizing the fuzzy membership functions using evolutionary methods, and extending the system to higher fidelity aircraft models and stochastic obstacle environments.

无人机避障模糊控制最优控制

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