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This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

We address the problem of optimizing the performance of a dynamic system while satisfying hard safety constraints at all times. Implementing an optimal control solution is limited by the computational cost required to derive it in real…

系统与控制 · 电气工程与系统科学 2020-08-19 Wei Xiao , Christos G. Cassandras , Calin A. Belta

Obstacle avoidance is central to safe navigation, especially for robots with arbitrary and nonconvex geometries operating in cluttered environments. Existing Control Barrier Function (CBF) approaches often rely on analytic clearance…

机器人学 · 计算机科学 2025-09-22 Shuo Liu , Zhe Huang , Calin A. Belta

Modern nonlinear control theory seeks to endow systems with properties of stability and safety, and have been deployed successfully in multiple domains. Despite this success, model uncertainty remains a significant challenge in synthesizing…

系统与控制 · 电气工程与系统科学 2019-12-24 Andrew Taylor , Andrew Singletary , Yisong Yue , Aaron Ames

This article introduces a safe control strategy for application of forces to an external object using a dexterous robotic arm mounted on an unmanned Aerial Vehicle (UAV). A hybrid force-motion controller has been developed for this purpose.…

机器人学 · 计算机科学 2024-06-03 Dimitris Chaikalis , Vinicius Goncalves , Nikolaos Evangeliou , Anthony Tzes , Farshad Khorrami

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,…

系统与控制 · 电气工程与系统科学 2025-05-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

Control barrier functions (CBFs) have emerged as a popular topic in safety critical control due to their ability to provide formal safety guarantees for dynamical systems. Despite their powerful capabilities, the determination of feasible…

系统与控制 · 电气工程与系统科学 2024-12-18 Ali Mesbah , Seid H. Pourtakdoust , Alireza Sharifi , Afshin Banazadeh

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

This paper introduces a method for effectively controlling the movement of an Unmanned Aerial Vehicle (UAV) within a tunnel. The primary challenge of this problem lies in the UAV's exposure to nonlinear distance-dependent torques and forces…

机器人学 · 计算机科学 2023-03-29 Vedant Mundheda , Damodar Datta K , Harikumar Kandath

Safety has been of paramount importance in motion planning and control techniques and is an active area of research in the past few years. Most safety research for mobile robots target at maintaining safety with the notion of collision…

机器人学 · 计算机科学 2025-08-05 Manas Gupta , Xuesu Xiao

With the increasing emphasis on the safe autonomy for robots, model-based safe control approaches such as Control Barrier Functions have been extensively studied to ensure guaranteed safety during inter-robot interactions. In this paper, we…

机器人学 · 计算机科学 2022-02-22 Yiwei Lyu , Wenhao Luo , John M. Dolan

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

系统与控制 · 电气工程与系统科学 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

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…

动力系统 · 数学 2025-08-29 Laszlo Gacsi , Max H. Cohen , Tamas G. Molnar

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…

机器人学 · 计算机科学 2024-03-28 Manan Tayal , Shishir Kolathaya

This paper presents a general end-to-end framework for constructing robust and reliable layered safety filters that can be leveraged to perform dynamic collision avoidance over a broad range of applications using only local perception data.…

机器人学 · 计算机科学 2026-03-03 Erina Yamaguchi , Ryan M. Bena , Gilbert Bahati , Aaron D. Ames

We present a perception-driven safety filter that converts each 3D Gaussian Splat (3DGS) into a closed-form forward collision cone, which in turn yields a first-order control barrier function (CBF) embedded within a quadratic program (QP).…

机器人学 · 计算机科学 2025-09-19 Dario Tscholl , Yashwanth Nakka , Brian Gunter

Ensuring the safety of dynamical systems is crucial, where collision avoidance is a primary concern. Recently, control barrier functions (CBFs) have emerged as an effective method to integrate safety constraints into control synthesis…

系统与控制 · 电气工程与系统科学 2025-08-21 Shiqing Wei , Rooholla Khorrambakht , Prashanth Krishnamurthy , Vinicius Mariano Gonçalves , Farshad Khorrami

This paper presents a formal framework for collision avoidance in multi-robot systems, wherein an existing controller is modified in a minimally invasive fashion to ensure safety. We build this framework through the use of control barrier…

机器人学 · 计算机科学 2016-09-05 Li Wang , Aaron Ames , Magnus Egerstedt

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…

机器人学 · 计算机科学 2022-11-22 Stephen McIlvanna , Nhat Nguyen Minh , Yuzhu Sun , Mien Van , Wasif Naeem

Control barrier functions (CBFs) provide a simple yet effective way for safe control synthesis. Recently, work has been done using differentiable optimization (diffOpt) based methods to systematically construct CBFs for static obstacle…

机器人学 · 计算机科学 2024-01-25 Bolun Dai , Rooholla Khorrambakht , Prashanth Krishnamurthy , Farshad Khorrami