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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…

系统与控制 · 电气工程与系统科学 2020-08-11 Max Cohen , Calin Belta

Dynamic obstacle avoidance is a challenging topic for optimal control and optimization-based trajectory planning problems. Many existing works use Control Barrier Functions (CBFs) to enforce safety constraints for control systems. CBFs are…

机器人学 · 计算机科学 2025-02-10 Shuo Liu , Yihui Mao , Calin A. Belta

Safety is of paramount importance in control systems to avoid costly risks and catastrophic damages. The control barrier function (CBF) method, a promising solution for safety-critical control, poses a new challenge of enhancing control…

系统与控制 · 电气工程与系统科学 2025-03-26 Shengbo Wang , Ke Li , Zheng Yan , Zhenyuan Guo , Song Zhu , Guanghui Wen , Shiping Wen

Optimal control problems with constraints ensuring safety and convergence to desired states can be mapped onto a sequence of real time optimization problems through the use of Control Barrier Functions (CBFs) and Control Lyapunov Functions…

系统与控制 · 电气工程与系统科学 2019-12-10 Wei Xiao , Calin A. Belta , Christos G. Cassandras

This paper is motivated by controllers developed for autonomous vehicles which occasionally result into conditions where safety is no longer guaranteed. We develop an exact-time safety recovery framework for any control-affine nonlinear…

系统与控制 · 电气工程与系统科学 2026-04-14 Yingqing Chen , Christos G. Cassandras , Wei Xiao , Anni Li

We develop optimal control strategies for Autonomous Vehicles (AVs) that are required to meet complex specifications imposed by traffic laws and cultural expectations of reasonable driving behavior. We formulate these specifications as…

The control barrier function (CBF) has become a fundamental tool in safety-critical systems design since its invention. Typically, the quadratic optimization framework is employed to accommodate CBFs, control Lyapunov functions (CLFs),…

最优化与控制 · 数学 2026-03-17 Junjun Xie , Liang Hu , Jiahu Qin , Jun Yang , Huijun Gao

Control barrier functions (CBFs) have been widely applied to safety-critical robotic applications. However, the construction of control barrier functions for robotic systems remains a challenging task. Recently, collision detection using…

This paper develops a controller for Connected and Automated Vehicles (CAVs) traversing a single-lane roundabout. The controller simultaneously determines the optimal sequence and associated optimal motion control jointly minimizing travel…

系统与控制 · 电气工程与系统科学 2024-03-21 Yingqing Chen , Christos G. Cassandras , Kaiyuan Xu

We address the problem of controlling Connected and Automated Vehicles (CAVs) in conflict areas of a traffic network subject to hard safety constraints. It has been shown that such problems can be solved through a combination of tractable…

系统与控制 · 电气工程与系统科学 2022-09-28 Ehsan Sabouni , Christos G. Cassandras , Wei Xiao , Nader Meskin

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

The paper considers the problem of controlling Connected and Automated Vehicles (CAVs) traveling through a three-entry roundabout so as to jointly minimize both the travel time and the energy consumption while providing speed-dependent…

系统与控制 · 电气工程与系统科学 2021-04-14 Kaiyuan Xu , Christos G. Cassandras , Wei Xiao

In this paper, we propose a safety-critical controller based on time-varying control barrier functions (CBFs) for a robot with an unicycle model in the continuous-time domain to achieve navigation and dynamic collision avoidance. Unlike…

机器人学 · 计算机科学 2023-07-18 Jihao Huang , Zhitao Liu , Jun Zeng , Xuemin Chi , Hongye Su

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

系统与控制 · 电气工程与系统科学 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

We consider the merging control problem for Connected and Automated Vehicles (CAVs) aiming to jointly minimize travel time and energy consumption while providing speed-dependent safety guarantees and satisfying velocity and acceleration…

系统与控制 · 电气工程与系统科学 2022-03-10 Kaiyuan Xu , Wei Xiao , Christos G. Cassandras

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

In this paper, a safety-critical control strategy for a nonholonomic robot is developed to generate control signals that result in optimal, obstacle-free paths through dynamic environments. We formulate the control synthesis problem as an…

系统与控制 · 电气工程与系统科学 2025-03-04 Nhat Nguyen Minh , Stephen McIlvanna , Yuzhu Sun , Yan Jin , Mien Van

This letter addresses the constraint compatibility problem of control barrier functions (CBFs), which occurs when a safety-critical CBF requires a system to apply more control effort than it is capable of generating. This inevitably leads…

最优化与控制 · 数学 2024-02-28 Logan E. Beaver

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 present a real-time safety filter for motion planning, including those that are learning-based, using Control Barrier Functions (CBFs) to provide formal guarantees for collision avoidance with road boundaries. A key feature of our…

机器人学 · 计算机科学 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee
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