pith. sign in

arxiv: 2510.09810 · v2 · pith:ZV2FJIEBnew · submitted 2025-10-10 · 📡 eess.SY · cs.SY

Designing Control Barrier Functions Using a Dynamic Backup Policy

classification 📡 eess.SY cs.SY
keywords controlbarrierapproachbackupfunctionsmethodproposedaffine
0
0 comments X
read the original 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 state-reference pair, the approach quantifies the distance to constraint violation at any time in the future. The proposed method is applied to an inverted pendulum on cart.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Using Dynamic Safety Margins as Control Barrier Functions

    eess.SY 2024-04 unverdicted novelty 6.0

    Dynamic safety margins are shown to be control barrier functions for an augmented system, enabling constraint handling agnostic to relative degree and supporting multiple constraints via control-sharing.

  2. Using Dynamic Safety Margins as Control Barrier Functions

    eess.SY 2024-04 unverdicted novelty 5.0

    Dynamic safety margins are shown to be control barrier functions for an augmented state-reference system, enabling constraint handling agnostic to relative degree and supporting multiple constraints via control sharing.