English

Adaptive Safety with Control Barrier Functions

Systems and Control 2020-11-20 v1 Systems and Control

Abstract

Adaptive Control Lyapunov Functions (aCLFs) were introduced 20 years ago, and provided a Lyapunov-based methodology for stabilizing systems with parameter uncertainty. The goal of this paper is to revisit this classic formulation in the context of safety-critical control. This will motivate a variant of aCLFs in the context of safety: adaptive Control Barrier Functions (aCBFs). Our proposed approach adaptively achieves safety by keeping the systems state within a safe set even in the presence of parametric model uncertainty. We unify aCLFs and aCBFs into a single control methodology for systems with uncertain parameters in the context of a Quadratic Program (QP) based framework. We validate the ability of this unified framework to achieve stability and safety in an adaptive cruise control (ACC) simulation.

Keywords

Cite

@article{arxiv.1910.00555,
  title  = {Adaptive Safety with Control Barrier Functions},
  author = {Andrew J. Taylor and Aaron D. Ames},
  journal= {arXiv preprint arXiv:1910.00555},
  year   = {2020}
}

Comments

8 pages, 2 figures, submitted to 2020 IEEE American Control Conference (ACC)

R2 v1 2026-06-23T11:31:56.651Z