Feasibility and Singularity in High-Order Safety-Critical Control for Quadrotor UAVs

Abstract:We study high-order safety-critical control of quadrotor teams under bounded inputs and pairwise collision-avoidance constraints. Squared-distance barriers may lose thrust effectiveness when the relative displacement is orthogonal to the available thrust directions, while nonsingular constraints may still be jointly infeasible under shared bounds. We characterize both phenomena through pairwise effectiveness and aggregate feasibility measures. A torque-aware dynamic extension exposes attitude torques in a fourth-order barrier and prevents the extended-input row from vanishing under positive thrust. Gaussian processes directly learn the fourth-order HOCBF residual, providing robust margins without differentiating unknown perturbations. Under residual-bound and persistent-feasibility assumptions, the resulting QP guarantees collision avoidance and recovers the nominal input whenever it satisfies the robust safety and actuator constraints.

Systems and Control (eess.SY); Robotics (cs.RO); Optimization and Control (math.OC)

arXiv:2609.19362 [eess.SY]

(or arXiv:2609.19362v1 [eess.SY] for this version)

https://doi.org/10.48550/arXiv.2609.19362 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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