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Control Barrier Functions (CBFs) aim to ensure safety by constraining the control input at each time step so that the system state remains within a desired safe region. This paper presents a framework for CBFs in stochastic systems in the…

最优化与控制 · 数学 2020-10-20 Andrew Clark

This paper addresses the challenge of ensuring safety and feasibility in control systems using Control Barrier Functions (CBFs). Existing CBF-based Quadratic Programs (CBF-QPs) often encounter feasibility issues due to mixed relative degree…

系统与控制 · 电气工程与系统科学 2025-03-07 Shuo Liu , Wei Xiao , Calin A. Belta

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

Control barrier functions (CBF) are widely explored to enforce the safety-critical constraints on nonlinear systems recently. There are many researchers incorporating the control barrier functions into path planning algorithms to find a…

机器人学 · 计算机科学 2024-10-02 Leonas Liu , Yingfan Zhang , Larry Zhang , Mehbi Kermanshabi

The Receding Horizon Control (RHC) strategy consists in replacing an infinite-horizon stabilization problem by a sequence of finite-horizon optimal control problems, which are numerically more tractable. The dynamic programming principle…

最优化与控制 · 数学 2019-06-06 Karl Kunisch , Laurent Pfeiffer

In this paper, we develop a novel adaptation-based approach to constrained control design under multiple state and input constraints. Specifically, we introduce a method for synthesizing any number of time-varying candidate control barrier…

最优化与控制 · 数学 2023-04-05 Mitchell Black , Dimitra Panagou

Safety-critical control systems, such as spacecraft performing proximity operations, must provide formal safety guarantees despite stochastic uncertainties from state estimation and unmodeled dynamics. Although Control Barrier Functions…

系统与控制 · 电气工程与系统科学 2026-04-13 Kazuya Echigo , David E. J. van Wijk , Pol Mestres , Ersin Daş , Joel W. Burdick , Aaron D. Ames

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

最优化与控制 · 数学 2023-03-15 Devansh Agrawal , Dimitra Panagou

Control barrier functions (CBFs) and safety-critical control have seen a rapid increase in popularity in recent years, predominantly applied to systems in aerospace, robotics and neural network controllers. Control barrier functions can…

理论经济学 · 经济学 2024-02-27 David van Wijk

Control barrier functions (CBFs) provide a principled framework for enforcing safety in control systems -- yet the certified safe operating region in practice is often conservative, especially under input bounds. In many applications,…

系统与控制 · 电气工程与系统科学 2026-04-07 Pio Ong , David E. J. van Wijk , Massimiliano de Sa , Joel W. Burdick , Aaron D. Ames

This paper proposes a safety-critical controller for dynamic and uncertain environments, leveraging a robust environment control barrier function (ECBF) to enhance the robustness against the measurement and prediction uncertainties…

系统与控制 · 电气工程与系统科学 2024-03-21 Ying Shuai Quan , Jian Zhou , Erik Frisk , Chung Choo Chung

Quadratic programs (QP) subject to multiple time-dependent control barrier function (CBF) based constraints have been used to design safety-critical controllers. However, ensuring the existence of a solution at all times to the QP subject…

This article presents a closed-form adaptive controlbarrier-function (CBF) approach for satisfying state constraints in systems with parametric uncertainty. This approach uses a sampled-data recursive-least-squares algorithm to estimate the…

系统与控制 · 电气工程与系统科学 2024-11-21 Ricardo Gutierrez , Jesse B. Hoagg

Physical human-robot interaction offers the potential to leverage human intelligence and robot physical capabilities to enable a range of exciting applications, e.g., collaborative robots for rehabilitation. Safety is critical for the…

机器人学 · 计算机科学 2026-04-28 Rui Luo , Jonas Mariager Jakobsen , Wesley Roozing , Federico Califano , Cheng Fang

Safe navigation of autonomous robots remains one of the core challenges in the field, especially in dynamic and uncertain environments. One of the prevalent approaches is safety filtering based on control barrier functions (CBFs), which are…

机器人学 · 计算机科学 2026-03-10 Bojan Derajić , Sebastian Bernhard , Wolfgang Hönig

We propose a novel class of risk-aware control barrier functions (RA-CBFs) for the control of stochastic safety-critical systems. Leveraging a result from the stochastic level-crossing literature, we deviate from the martingale theory that…

系统与控制 · 电气工程与系统科学 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

Safety is one of the fundamental problems in robotics. Recently, a quadratic program-based control barrier function (CBF) method has emerged as a way to enforce safety-critical constraints. Together with control Lyapunov function (CLF), it…

系统与控制 · 电气工程与系统科学 2022-01-03 Jun Zeng , Bike Zhang , Zhongyu Li , Koushil Sreenath

This letter presents a constrained control framework that integrates Explicit Reference Governors (ERG) with Control Barrier Functions (CBF) to ensure recursive feasibility without online optimization. We formulate the reference update as a…

系统与控制 · 电气工程与系统科学 2026-04-07 Satoshi Nakano , Emanuele Garone , Gennaro Notomista

Ensuring the safety of complex dynamical systems often relies on Hamilton-Jacobi (HJ) Reachability Analysis or Control Barrier Functions (CBFs). Both methods require computing a function that characterizes a safe set that can be made…

系统与控制 · 电气工程与系统科学 2025-10-03 Jixian Liu , Enrique Mallada

Safety-critical control is a crucial aspect of modern systems, and Control Barrier Functions (CBFs) have gained popularity as the framework of choice for ensuring safety. However, implementing a CBF requires exact knowledge of the true…

系统与控制 · 电气工程与系统科学 2025-08-26 Rahal Nanayakkara , Aaron D. Ames , Paulo Tabuada