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.
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Publication details
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Cite this article
APA 7
Nieto, O. Y., & Colombo, L. (2026). Feasibility and Singularity in High-Order Safety-Critical Control for Quadrotor UAVs. https://omanscience.com/en/articles/feasibility-and-singularity-in-high-order-safety-critical-control-for-quadrotor-uavs
MLA 9
Nieto, Omayra Yago, and Leonardo Colombo. "Feasibility and Singularity in High-Order Safety-Critical Control for Quadrotor UAVs." https://omanscience.com/en/articles/feasibility-and-singularity-in-high-order-safety-critical-control-for-quadrotor-uavs.
Chicago (author–date)
Nieto, Omayra Yago, and Leonardo Colombo. 2026. "Feasibility and Singularity in High-Order Safety-Critical Control for Quadrotor UAVs." https://omanscience.com/en/articles/feasibility-and-singularity-in-high-order-safety-critical-control-for-quadrotor-uavs.
Harvard
Nieto, O. Y. and Colombo, L. (2026) 'Feasibility and Singularity in High-Order Safety-Critical Control for Quadrotor UAVs', Available at: https://omanscience.com/en/articles/feasibility-and-singularity-in-high-order-safety-critical-control-for-quadrotor-uavs.
Vancouver
Nieto OY, Colombo L. Feasibility and Singularity in High-Order Safety-Critical Control for Quadrotor UAVs. https://omanscience.com/en/articles/feasibility-and-singularity-in-high-order-safety-critical-control-for-quadrotor-uavs
IEEE
O. Y. Nieto, and L. Colombo, "Feasibility and Singularity in High-Order Safety-Critical Control for Quadrotor UAVs," https://omanscience.com/en/articles/feasibility-and-singularity-in-high-order-safety-critical-control-for-quadrotor-uavs.