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Activated backstepping with control barrier functions for the safe navigation of automated vehicles
Gacsi, Laszlo Cohen, Max H. Molnar, Tamas G.
Gacsi, Laszlo
Cohen, Max H.
Molnar, Tamas G.
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2025-06-05
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Article
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Keywords
Automated vehicle,Backstepping,Control barrier function,Safety-critical control
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Citation
L. Gacsi, M. H. Cohen and T. G. Molnar, "Activated Backstepping With Control Barrier Functions for the Safe Navigation of Automated Vehicles," in IEEE Control Systems Letters, doi: 10.1109/LCSYS.2025.3577096.
Abstract
This paper introduces a novel safety-critical control method through the synthesis of control barrier functions (CBFs) for systems with high-relative-degree safety constraints. By extending the procedure of CBF backstepping, we propose activated backstepping—a constructive method to synthesize valid CBFs. The novelty of our method is the incorporation of an activation function into the CBF, which offers less conservative safe sets in the state space than standard CBF backstepping. We demonstrate the proposed method on an inverted pendulum example, where we explain the underlying geometric meaning in the state space and provide comparisons with existing CBF synthesis techniques. Finally, we implement our method to achieve collision-free navigation for automated vehicles using a kinematic bicycle model in simulation. © 2017 IEEE.
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This is an open access article under the CC BY license.
Publisher
Institute of Electrical and Electronics Engineers Inc.
Journal
IEEE Control Systems Letters
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24751456