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October 20, 2025Open Access

Safety-Critical Control with Guaranteed Lipschitz Continuity via Filtered Control Barrier Functions

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Authors

SLShuo LiuXWXiao WeiCBCălin Belta

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Overview

New filtered control barrier functions enhance control safety and ensure lipschitz continuity in systems, indicating improved performance.

Key Points

  • The proposed filtered control barrier functions ensure safety while achieving lipschitz continuity in control inputs.
  • The new framework integrates control barrier functions within a quadratic program to stabilize input variation.
  • Simulations demonstrate improved performance over standard and smoothness-penalized approaches to control barrier functions.
  • Theoretical guarantees support the effectiveness of ensuring bounded input variation alongside safety constraints.

Cite This Study

Liu et al. (2025) studied this question.

synapsesocial.com/papers/68f6196ee0bbbc94fac36186https://doi.org/10.48550/arxiv.2503.23267
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  1. 1Practical Considerations for Discrete-Time Implementations of Continuous-Time Control Barrier Function-Based Safety Filters2024
  2. 2Safe and Stable Filter Design Using a Relaxed Compatibitlity Control Barrier -- Lyapunov Condition2024
  3. 3Learning High-Order Control Barrier Functions for Safety-Critical Control with Gaussian Processes2024
  4. 4Relaxed Control Barrier Functions with Slack: Feasible Safety Filtering with Explicit Violation Bounds2026
  5. 5On the Properties of Optimal-Decay Control Barrier Functions2025