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This article introduces the Pareto Control Barrier Function (PCBF) algorithm to maximize the inner safe set of dynamical systems under input constraints. Traditional Control Barrier Functions (CBFs) ensure safety by maintaining system…

Optimization and Control · Mathematics 2025-03-21 Xiaoyang Cao , Zhe Fu , Alexandre M. Bayen

Control Barrier Functions (CBFs) have become a popular tool for enforcing set invariance in safety-critical control systems. While guaranteeing safety, most CBF approaches are myopic in the sense that they solve an optimization problem at…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Max Cohen , Calin Belta

Multi-quadrotor systems face significant challenges in decentralized control, particularly with safety and coordination under sensing and communication limitations. State-of-the-art methods leverage Control Barrier Functions (CBFs) to…

Robotics · Computer Science 2024-09-27 Manohari Goarin , Guanrui Li , Alessandro Saviolo , Giuseppe Loianno

In fields such as mining, search and rescue, and archaeological exploration, ensuring real-time, collision-free navigation of robots in confined, cluttered environments is imperative. Despite the value of established path planning…

Robotics · Computer Science 2024-03-28 Manan Tayal , Shishir Kolathaya

Safety-critical control is essential for humanoid robots operating in complex human-centered environments, where physical safety constraints such as joint limits, self-collision avoidance, obstacle avoidance, and workspace boundaries must…

Robotics · Computer Science 2026-05-26 Kwanwoo Lee , Sanghyuk Park , Gyeongjae Park , Myeong-Ju Kim , Jaeheung Park

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…

Optimization and Control · Mathematics 2023-03-15 Devansh Agrawal , Dimitra Panagou

Ensuring safety in autonomous systems requires controllers that aim to satisfy state-wise constraints without relying on online interaction.While existing Safe Offline RL methods typically enforce soft expected-cost constraints, they…

Artificial Intelligence · Computer Science 2026-04-03 Mumuksh Tayal , Manan Tayal , Aditya Singh , Shishir Kolathaya , Ravi Prakash

In safety-critical control systems, ensuring both system safety and smooth control input is essential for practical deployment. Existing Control Barrier Function (CBF) frameworks, especially High-Order CBFs (HOCBFs), effectively enforce…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Shuo Liu , Wei Xiao , Calin A. Belta

A predictive control barrier function (PCBF) based safety filter is a modular framework to verify safety of a control input by predicting a future trajectory. The approach relies on the solution of two optimization problems, first computing…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger

This letter presents a nonlinear disturbance observer-parameterized control barrier function (DOp-CBF) designed for a robust safety control system under external disturbances. This framework emphasizes that the safety bounds are relevant to…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Ziqi Yang , Lihua Xie

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…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Tanmay Dokania , Yashwanth Kumar Nakka

This work combines control barrier functions (CBFs) with a whole-body controller to enable self-collision avoidance for the MIT Humanoid. Existing reactive controllers for self-collision avoidance cannot guarantee collision-free…

Robotics · Computer Science 2022-11-08 Charles Khazoom , Daniel Gonzalez-Diaz , Yanran Ding , Sangbae Kim

This paper proposes a collision avoidance method for ellipsoidal rigid bodies, which utilizes a control barrier function (CBF) designed from a supporting hyperplane. We formulate the problem in the Special Euclidean Group SE(2) and SE(3),…

Systems and Control · Electrical Eng. & Systems 2023-08-24 Riku Funada , Koju Nishimoto , Tatsuya Ibuki , Mitsuji Sampei

This paper proposes a safety controller for control-affine nonlinear systems with unmodelled dynamics and disturbances to improve closed-loop robustness. Uncertainty estimation-based control barrier functions (CBFs) are utilized to ensure…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick

In this paper, we establish a connection between model predictive control (MPC) techniques and Control Barrier Functions (CBFs). Recognizing the similarity between CBFs and Control Lyapunov Functions (CLFs), we propose a MPC formulation…

Optimization and Control · Mathematics 2025-07-03 Jingyi Huang , Han Wang , Kostas Margellos , Paul Goulart

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…

Robotics · Computer Science 2026-04-28 Rui Luo , Jonas Mariager Jakobsen , Wesley Roozing , Federico Califano , Cheng Fang

Control barrier functions (CBFs) have been demonstrated as an effective method for safety-critical control of autonomous systems. Although CBFs are simple to deploy, their design remains challenging, motivating the development of…

Robotics · Computer Science 2026-03-10 Bojan Derajić , Sebastian Bernhard , Wolfgang Hönig

Ensuring robot safety in complex environments is a difficult task due to actuation limits, such as torque bounds. This paper presents a safety-critical control framework that leverages learning-based switching between multiple backup…

Robotics · Computer Science 2024-03-08 Neil C. Janwani , Ersin Daş , Thomas Touma , Skylar X. Wei , Tamas G. Molnar , Joel W. Burdick

Robots operating alongside people, particularly in sensitive scenarios such as aiding the elderly with daily tasks or collaborating with workers in manufacturing, must guarantee safety and cultivate user trust. Continuum soft manipulators…

Robotics · Computer Science 2025-10-20 Kiwan Wong , Maximilian Stölzle , Wei Xiao , Cosimo Della Santina , Daniela Rus , Gioele Zardini

In this paper we present the implementation of a Control Barrier Function (CBF) using a quadratic program (QP) formulation that provides obstacle avoidance for a robotic manipulator arm system. CBF is a control technique that has emerged…

Robotics · Computer Science 2022-11-22 Stephen McIlvanna , Nhat Nguyen Minh , Yuzhu Sun , Mien Van , Wasif Naeem
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