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Designing Control Barrier Functions Using a Dynamic Backup Policy

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Designing Control Barrier Functions Using a Dynamic Backup Policy

arXiv:2510.09810v2 Announce Type: replace Abstract: This paper presents a systematic approach to construct control barrier functions for nonlinear control affine systems subject to arbitrary state and input constraints. Taking inspiration from the reference governor literature, the proposed method defines a family of backup policies, parametrized by the equilibrium manifold of the system. The control barrier function is defined on the augmented state-and-reference space: given a...

arXiv CS 6d ago