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This tutorial provides a critical review of the practical application of Control Barrier Functions (CBFs) in robotic safety. While the theoretical foundations of CBFs are well-established, I identify a recurring gap between the mathematical…

Robotics · Computer Science 2026-03-10 Taekyung Kim

Control Barrier Functions (CBFs) are an effective methodology to ensure safety and performative efficacy in real-time control applications such as power systems, resource allocation, autonomous vehicles, robotics, etc. This approach ensures…

Optimization and Control · Mathematics 2024-09-30 Samy Wu Fung , Levon Nurbekyan

A fundamental and classical problem in mobile autonomous systems is maintaining the safety of autonomous agents during deployment. Prior literature has presented techniques using control barrier functions (CBFs) to achieve this goal. These…

Optimization and Control · Mathematics 2025-03-18 James Usevitch , Jackson Sahleen

Control barrier functions (CBF) have become popular as a safety filter to guarantee the safety of nonlinear dynamical systems for arbitrary inputs. However, it is difficult to construct functions that satisfy the CBF constraints for high…

Optimization and Control · Mathematics 2023-12-06 Oswin So , Zachary Serlin , Makai Mann , Jake Gonzales , Kwesi Rutledge , Nicholas Roy , Chuchu Fan

This article proposes a modular optimal control framework for local three-dimensional ellipsoidal obstacle avoidance, exemplarily applied to model predictive path-following control. Static as well as moving obstacles are considered. Central…

Systems and Control · Electrical Eng. & Systems 2025-10-31 David Leprich , Mario Rosenfelder , Markus Herrmann-Wicklmayr , Kathrin Flaßkamp , Peter Eberhard , Henrik Ebel

This paper tackles the problem of safe and efficient area coverage using a multi-agent system operating in environments with obstacles. Applications such as environmental monitoring and search and rescue require robot swarms to cover large…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Sungjun Seo , Kooktae Lee

A tracking controller for unmanned aerial vehicles (UAVs) is developed to track moving targets undergoing unknown translational and rotational motions. The main challenges are to control both the relative positions and angles between the…

Robotics · Computer Science 2021-09-16 Hsin-Ai Hung , Hao-Huan Hsu , Teng-Hu Cheng

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

Generating collision-free motions in dynamic environments is a challenging problem for high-dimensional robotics, particularly under real-time constraints. Control Barrier Functions (CBFs), widely utilized in safety-critical control, have…

Robotics · Computer Science 2024-12-24 Xuemin Chi , Yiming Li , Jihao Huang , Bolun Dai , Zhitao Liu , Sylvain Calinon

To navigate complex environments, robots must increasingly use high-dimensional visual feedback (e.g. images) for control. However, relying on high-dimensional image data to make control decisions raises important questions; particularly,…

Robotics · Computer Science 2023-03-01 Mukun Tong , Charles Dawson , Chuchu Fan

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…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Jun Zeng , Bike Zhang , Zhongyu Li , Koushil Sreenath

This paper details the theory and implementation behind practically ensuring safety of remotely piloted racing drones. We demonstrate robust and practical safety guarantees on a 7" racing drone at speeds exceeding 100 km/h, utilizing only…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Andrew Singletary , Aiden Swann , Yuxiao Chen , Aaron D. Ames

A flexible active safety motion (FASM) control approach is proposed for the avoidance of dynamic obstacles and the reference tracking in robot manipulators. The distinctive feature of the proposed method lies in its utilization of control…

Robotics · Computer Science 2024-05-22 Jinhao Liu , Jun Yang , Jianliang Mao , Tianqi Zhu , Qihang Xie , Yimeng Li , Xiangyu Wang , Shihua Li

Control Barrier Functions (CBFs) are a practical approach for designing safety-critical controllers, but constructing them for arbitrary nonlinear dynamical systems remains a challenge. Recent efforts have explored learning-based methods,…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

This paper presents a control design method that achieves safety for systems with unmodeled dynamics at the plant input. The proposed method combines control barrier functions (CBFs) and integral quadratic constraints (IQCs). Simplified,…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Peter Seiler , Mrdjan Jankovic , Erik Hellstrom

This paper introduces a novel safety-critical control method through the synthesis of control barrier functions (CBFs) for systems with high-relative-degree safety constraints. By extending the procedure of CBF backstepping, we propose…

Dynamical Systems · Mathematics 2025-08-29 Laszlo Gacsi , Max H. Cohen , Tamas G. Molnar

This paper develops and experimentally evaluates a navigation function for quadrotor formation flight that is resilient to abrupt quadrotor failures and other obstacles. The navigation function is based on modeling healthy quadrotors as…

Robotics · Computer Science 2022-03-04 Matthew Romano , Harshvardhan Uppaluru , Hossein Rastgoftar , Ella Atkins

This paper presents a decentralized safety filter for collision avoidance in multi-agent aerospace interception scenarios. The approach leverages robust control barrier functions (RCBFs) to guarantee forward invariance of safety sets under…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Johannes Autenrieb , Mark Spiller

Robot navigation in dynamic, crowded environments poses a significant challenge due to the inherent uncertainties in the obstacle model. In this work, we propose a risk-adaptive approach based on the Conditional Value-at-Risk Barrier…

Robotics · Computer Science 2025-08-04 Xinyi Wang , Taekyung Kim , Bardh Hoxha , Georgios Fainekos , Dimitra Panagou

Safely navigating around obstacles while respecting the dynamics, control, and geometry of the underlying system is a key challenge in robotics. Control Barrier Functions (CBFs) generate safe control policies by considering system dynamics…

Robotics · Computer Science 2025-09-16 Yi-Hsuan Chen , Shuo Liu , Wei Xiao , Calin Belta , Michael Otte