倾斜作为认证资源：在铰接式多旋翼上保持电机扳手速率权限
Tilt as a Certified Resource: Preserving Motor Wrench-Rate Authority on Articulated Multirotors
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中文总结 AI 辅助
针对完全驱动多旋翼在扰动下保持扳手速率权限的问题，本文利用伺服倾斜作为几何资源，构建仅电机的就绪证书并作为CBF执行，仿真证明该滤波器能约束状态并保持飞行器权限。
中文摘要 AI 辅助
完全驱动的多旋翼飞行器不仅必须跟踪标称扳手，还必须保留快速调节扳手的“就绪”能力以应对扰动。经典的力最小化分配器忽略了这一动态限制，而最大化就绪性则会导致拓扑不连通的最优曲面，要求物理上不可能的电机速率。在固定几何对称平台上强制执行就绪安全下限进一步遇到零和退化：在不牺牲扳手跟踪的情况下，电机速率的重新分配无法提高权限。本文利用主动形态学打破退化，将伺服倾斜视为几何资源，提供静态转子无法获得的权限恢复方向。我们构建了一个依赖于配置的、仅电机的就绪证书——可达扳手速率集合的对数体积——该证书明确排除伺服容量，防止“幽灵容量谬误”，即证书会错误地将快速机械运动学限制归因于电机饱和而不会准确崩溃。该证书作为控制障碍函数（CBF）在统一物理命令二次规划中执行，作用于电机扭矩和伺服设定点。在严重阵风扰动下的铰接式八旋翼闭环仿真表明，经典分配器发散，未认证的铰接式分配器违反安全下限，而所提出的CBF滤波器约束系统状态并保持飞行器权限。
英文摘要
Fully-actuated multirotor aerial vehicles must not only track nominal wrenches but retain the "readiness" to modulate them rapidly under disturbances. Classical effort-minimizing allocators ignore this dynamic limit, whereas maximizing readiness leads to topologically disconnected optimal sheets demanding physically impossible actuator rates. Enforcing a readiness safety floor on fixed-geometry symmetric platforms further encounters a zero-sum degeneracy: motor-speed redistribution cannot improve authority without conceding wrench tracking. This paper uses active morphology to break the degeneracy, treating servo tilt as a geometric resource supplying authority-recovery directions unavailable to static rotors. We construct a configuration-dependent, motor-only readiness certificate - the log-volume of the reachable wrench-rate set - that explicitly excludes servo capacity, preventing a "ghost capacity fallacy" in which the certificate would falsely credit slow mechanical kinematic limits instead of collapsing accurately at motor saturation. The certificate is enforced as a Control Barrier Function (CBF) within a Unified Physical-Command Quadratic Program acting on motor torques and servo setpoints. Closed-loop simulations of an articulated octorotor under severe gust disturbances show classical allocators diverging and uncertified articulated allocators violating the safety floor, while the proposed CBF filter bounds the system state and preserves vehicle authority.
发表机构
- Ricerca sul Sistema Energetico (RSE) S.p.A.（意大利能源系统研究公司）
- Czech Technical University in Prague（捷克理工大学）
- Czech Technical University（捷克理工大学）
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