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Control barrier functions (CBFs) have seen widespread success in providing forward invariance and safety guarantees for dynamical control systems. A crucial limitation of discrete-time formulations is that CBFs that are nonconcave in their…

系统与控制 · 电气工程与系统科学 2025-10-14 James Usevitch , Juan Augusto Paredes Salazar , Ankit Goel

This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

系统与控制 · 电气工程与系统科学 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

Safety filters based on Control Barrier Functions (CBFs) have emerged as a practical tool for the safety-critical control of autonomous systems. These approaches encode safety through a value function and enforce safety by imposing a…

机器人学 · 计算机科学 2022-08-23 Sander Tonkens , Sylvia Herbert

Optimal control for safety-critical systems is often dependent on the conservativeness of constraints. Control Barrier Functions (CBFs) serve as a medium to represent such constraints, but constructing a minimally conservative CBF is a…

系统与控制 · 电气工程与系统科学 2026-05-08 Tanmay Dokania , Yashwanth Kumar Nakka

In this note, a new reciprocal resistance-based control barrier function (RRCBF) is developed to enhance the robustness of control barrier functions for disturbed affine nonlinear systems, without requiring explicit knowledge of disturbance…

系统与控制 · 电气工程与系统科学 2025-07-28 Xinming Wang , Zongyi Guo , Jianguo Guo , Jun Yang , Yunda Yan

Control barrier function (CBF) has recently started to serve as a basis to develop approaches for enforcing safety requirements in control systems. However, constructing such function for a general system is a non-trivial task. This paper…

系统与控制 · 电气工程与系统科学 2023-01-02 Zihao Liang , Jason King Ching Lo

We present a novel method for designing higher-order Control Barrier Functions (CBFs) that guarantee convergence to a safe set within a user-specified finite. Traditional Higher Order CBFs (HOCBFs) ensure asymptotic safety but lack…

系统与控制 · 电气工程与系统科学 2025-07-21 Janani S K , Shishir Kolathaya

This paper proposes a new framework to compute finite-horizon safety guarantees for discrete-time piece-wise affine systems with stochastic noise of unknown distributions. The approach is based on a novel approach to synthesise a stochastic…

系统与控制 · 电气工程与系统科学 2023-09-12 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Alessandro Abate , Luca Laurenti

This paper studies the efficient implementation of safety filters that are designed using control barrier functions (CBFs), which minimally modify a nominal controller to render it safe with respect to a prescribed set of states. Although…

系统与控制 · 电气工程与系统科学 2026-04-23 Pol Mestres , Shima Sadat Mousavi , Pio Ong , Lizhi Yang , Ersin Das , Joel W. Burdick , Aaron D. Ames

In this work, we consider the problem of designing a safety filter for a nonlinear uncertain control system. Our goal is to augment an arbitrary controller with a safety filter such that the overall closed-loop system is guaranteed to stay…

机器人学 · 计算机科学 2022-04-11 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

Providing safety guarantees for learning-based controllers is important for real-world applications. One approach to realizing safety for arbitrary control policies is safety filtering. If necessary, the filter modifies control inputs to…

系统与控制 · 电气工程与系统科学 2023-12-18 Lukas Brunke , Siqi Zhou , Mingxuan Che , Angela P. Schoellig

Learning-based control with safety guarantees usually requires real-time safety certification and modifications of possibly unsafe learning-based policies. The control barrier function (CBF) method uses a safety filter containing a…

系统与控制 · 电气工程与系统科学 2024-10-25 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

Learning-based control has recently shown great efficacy in performing complex tasks for various applications. However, to deploy it in real systems, it is of vital importance to guarantee the system will stay safe. Control Barrier…

系统与控制 · 电气工程与系统科学 2024-09-05 Fernando Castañeda , Jason J. Choi , Wonsuhk Jung , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

This paper establishes relationships between continuous-time, receding horizon, nonlinear model predictive control (MPC) and control Lyapunov and control barrier functions (CLF/CBF). We show that, if the cost function "behaves well" for…

最优化与控制 · 数学 2025-09-29 Jan Olucak , Arthur Castello B. de Oliveira , Torbjørn Cunis

We propose a design method for a robust safety filter based on Input Constrained Control Barrier Functions (ICCBF) for car-like robots moving in complex environments. A robust ICCBF that can be efficiently implemented is obtained by…

机器人学 · 计算机科学 2024-02-21 Sven Brüggemann , Dominic Nightingale , Jack Silberman , Maurício de Oliveira

The growing need for high-performance controllers in safety-critical applications like autonomous driving has been motivating the development of formal safety verification techniques. In this paper, we design and implement a predictive…

系统与控制 · 电气工程与系统科学 2021-02-25 Ben Tearle , Kim P. Wabersich , Andrea Carron , Melanie N. Zeilinger

In this paper, we study Stochastic Control Barrier Functions (SCBFs) to enable the design of probabilistic safe real-time controllers in presence of uncertainties and based on noisy measurements. Our goal is to design controllers that bound…

系统与控制 · 电气工程与系统科学 2022-01-03 Shakiba Yaghoubi , Georgios Fainekos , Tomoya Yamaguchi , Danil Prokhorov , Bardh Hoxha

This paper presents a methodology for constructing Control Barrier Functions (CBFs) that proactively consider the future safety of a system along a nominal trajectory, and effect corrective action before the trajectory leaves a designated…

最优化与控制 · 数学 2023-06-09 Joseph Breeden , Dimitra Panagou

Recent work showed that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs and observing state and control constraints can be reduced to quadratic programs (QP) by using control barrier functions…

系统与控制 · 电气工程与系统科学 2020-02-12 Wei Xiao , Calin Belta , Christos G. Cassandras

Industrial control applications require high performance under strict constraints. Control barrier functions (CBFs) provide principled safety mechanisms, but constructing CBF-based safety filters for large-scale systems is challenging. We…

系统与控制 · 电气工程与系统科学 2026-02-09 Kim P. Wabersich , Felix Berkel , Felix Gruber , Sven Reimann