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Safety has been a critical issue for the deployment of learning-based approaches in real-world applications. To address this issue, control barrier function (CBF) and its variants have attracted extensive attention for safety-critical…

Machine Learning · Computer Science 2023-05-08 Alaa Eddine Chriat , Chuangchuang Sun

Many robotic tasks require high-dimensional sensors such as cameras and Lidar to navigate complex environments, but developing certifiably safe feedback controllers around these sensors remains a challenging open problem, particularly when…

Robotics · Computer Science 2022-01-05 Charles Dawson , Bethany Lowenkamp , Dylan Goff , Chuchu Fan

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…

Robotics · Computer Science 2025-09-22 Shuo Liu , Zhe Huang , Calin A. Belta

Control Barrier Functions (CBFs) are utilized to ensure the safety of control systems. CBFs act as safety filters in order to provide safety guarantees without compromising system performance. These safety guarantees rely on the…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Hongchao Zhang , Manan Tayal , Jackson Cox , Pushpak Jagtap , Shishir Kolathaya , Andrew Clark

Reinforcement Learning (RL) uses rewards to guide learning, yet reward design is typically hand-crafted using heuristics that can be difficult to tune. We propose a Control Barrier Function (CBF)-informed reward design for Multi-Agent RL…

Robotics · Computer Science 2026-05-19 Jianye Xu , Bassam Alrifaee

To enable flexible, high-throughput automation in settings where people and robots share workspaces, collaborative robotic cells must reconcile stringent safety guarantees with the need for responsive and effective behavior. A dynamic…

We propose a learning-based Control Barrier Function (CBF) to reduce conservatism in collision avoidance for car-like robots. Traditional CBFs often use the Euclidean distance between robots' centers as a safety margin, which neglects their…

Robotics · Computer Science 2025-11-11 Jianye Xu , Bassam Alrifaee

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…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

Safe navigation for an ego vehicle in uncertain environments characterized by dynamic obstacles with unknown nonlinear dynamics is a challenging problem of significant practical interest. Existing approaches in the literature either lack…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Jiwon Lee , Hugo Matias , Daniel Silvestre , Thinh T. Doan

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

Control Barrier Functions offer safety certificates by dictating controllers that enforce safety constraints. However, their response depends on the classK function that is used to restrict the rate of change of the value of the barrier…

Optimization and Control · Mathematics 2023-12-25 Hardik Parwana , Dimitra Panagou

In order to be effective partners for humans, robots must become increasingly comfortable with making contact with their environment. Unfortunately, it is hard for robots to distinguish between ``just enough'' and ``too much'' force: some…

Robotics · Computer Science 2022-09-27 Charles Dawson , Austin Garrett , Falk Pollok , Yang Zhang , Chuchu Fan

As autonomous systems become increasingly prevalent in daily life, ensuring their safety is paramount. Control Barrier Functions (CBFs) have emerged as an effective tool for guaranteeing safety; however, manually designing them for specific…

Robotics · Computer Science 2025-04-16 Shreenabh Agrawal , Manan Tayal , Aditya Singh , Shishir Kolathaya

Endowing nonlinear systems with safe behavior is increasingly important in modern control. This task is particularly challenging for real-life control systems that must operate safely in dynamically changing environments. This paper…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Tamas G. Molnar , Adam K. Kiss , Aaron D. Ames , Gábor Orosz

We present a closed-form optimal control that satisfies both safety constraints (i.e., state constraints) and input constraints (e.g., actuator limits) using a composition of multiple control barrier functions (CBFs). This main contribution…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Pedram Rabiee , Jesse B. Hoagg

This paper focuses on safety filters designed based on Control Barrier Functions (CBFs): these are modifications of a nominal stabilizing controller typically utilized in safety-critical control applications to render a given subset of…

Optimization and Control · Mathematics 2025-01-17 Pol Mestres , Yiting Chen , Emiliano Dall'anese , Jorge Cortés

With the increasing need for safe control in the domain of autonomous driving, model-based safety-critical control approaches are widely used, especially Control Barrier Function (CBF)-based approaches. Among them, Exponential CBF (eCBF) is…

Robotics · Computer Science 2022-05-10 Spencer Van Koevering , Yiwei Lyu , Wenhao Luo , John Dolan

Safety filters based on control barrier functions (CBFs) have become a popular method to guarantee safety for uncertified control policies, e.g., as resulting from reinforcement learning. Here, safety is defined as staying in a pre-defined…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Lukas Brunke , Siqi Zhou , Mingxuan Che , Angela P. Schoellig

The problem of control based on vision measurements (bearings) has been amply studied in the literature; however, the problem of addressing the limits of the field of view of physical sensors has received relatively less attention…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Biagio Trimarchi , Fabrizio Schiano , Roberto Tron

Motivated by the key role of control barrier functions (CBFs) in assessing safety and enabling the synthesis of safe controllers in nonlinear control systems, this paper presents a suite of converse results on CBFs. Given any safe set, we…

Optimization and Control · Mathematics 2025-02-13 Pol Mestres , Jorge Cortés
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