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A Collision Cone Approach for Control Barrier Functions

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arxiv 2403.07043 v1 pith:QZLU6XBF submitted 2024-03-11 cs.RO

A Collision Cone Approach for Control Barrier Functions

classification cs.RO
keywords approachcollisioncontrolaerialavoidancebarriercbfsfunctions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This work presents a unified approach for collision avoidance using Collision-Cone Control Barrier Functions (CBFs) in both ground (UGV) and aerial (UAV) unmanned vehicles. We propose a novel CBF formulation inspired by collision cones, to ensure safety by constraining the relative velocity between the vehicle and the obstacle to always point away from each other. The efficacy of this approach is demonstrated through simulations and hardware implementations on the TurtleBot, Stoch-Jeep, and Crazyflie 2.1 quadrotor robot, showcasing its effectiveness in avoiding collisions with dynamic obstacles in both ground and aerial settings. The real-time controller is developed using CBF Quadratic Programs (CBF-QPs). Comparative analysis with the state-of-the-art CBFs highlights the less conservative nature of the proposed approach. Overall, this research contributes to a novel control formation that can give a guarantee for collision avoidance in unmanned vehicles by modifying the control inputs from existing path-planning controllers.

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Cited by 4 Pith papers

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  2. From Non-Rigid to Rigid: Safe Acquisition of Rigid Communication Graphs under Limited Sensing

    cs.RO 2026-07 conditional novelty 6.0

    A C3BF-QP controller on hierarchical splay consensus over an iLDAG acquires collision-free rigid maintenance graphs for heterogeneous nonlinear multi-robots from non-rigid initials without global positions for followers.

  3. From Non-Rigid to Rigid: Safe Acquisition of Rigid Communication Graphs under Limited Sensing

    cs.RO 2026-07 conditional novelty 6.0

    A distributed CBF-QP controller with a hierarchical 'splay' geometry acquires rigid communication graphs from non-rigid initial graphs under limited sensing while guaranteeing collision avoidance.

  4. Temporal Reach-Avoid-Stay Control for Differential Drive Systems via Spatiotemporal Tubes

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