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We consider the problem of designing controllers to guarantee safety in a class of nonlinear systems under uncertainties in the system dynamics and/or the environment. We define a class of uncertain control barrier functions (CBFs), and…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Vipul K. Sharma , S. Sivaranjani

Safety filters leveraging control barrier functions (CBFs) are highly effective for enforcing safe behavior on complex systems. It is often easier to synthesize CBFs for a Reduced order Model (RoM), and track the resulting safe behavior on…

Systems and Control · Electrical Eng. & Systems 2024-12-09 William D. Compton , Max H. Cohen , Aaron D. Ames

Safe control for inherently unstable systems such as quadrotors is crucial. Imposing multiple dynamic constraints simultaneously on the states for safety regulation can be a challenging problem. In this paper, we propose a quadratic…

Systems and Control · Computer Science 2022-03-08 Mouhyemen Khan , Munzir Zafar , Abhijit Chatterjee

Balancing safety and performance is one of the predominant challenges in modern control system design. Moreover, it is crucial to robustly ensure safety without inducing unnecessary conservativeness that degrades performance. In this work…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Anil Alan , Andrew J. Taylor , Chaozhe R. He , Aaron D. Ames , Gabor Orosz

This work explores a collaborative method for ensuring safety in multi-agent formation control problems. We formulate a control barrier function (CBF) based safety filter control law for a generic distributed formation controller and extend…

Robotics · Computer Science 2024-10-08 Brooks A. Butler , Chi Ho Leung , Philip E. Paré

Safety filters, particularly those based on control barrier functions, have gained increased interest as effective tools for safe control of dynamical systems. Existing correct-by-construction synthesis algorithms for such filters, however,…

Machine Learning · Computer Science 2025-09-19 Ihab Tabbara , Hussein Sibai

Set invariance techniques such as control barrier functions (CBFs) can be used to enforce time-varying constraints such as keeping a safe distance from dynamic objects. However, existing methods for enforcing time-varying constraints often…

Robotics · Computer Science 2025-11-19 Yitaek Kim , Christoffer Sloth

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…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Yingqing Chen , Christos G. Cassandras , Kaiyuan Xu

Recently, there has been increasing attention in robot research towards the whole-body collision avoidance. In this paper, we propose a safety-critical controller that utilizes time-varying control barrier functions (time varying CBFs)…

Robotics · Computer Science 2023-12-01 Jihao Huang , Xuemin Chi , Zhitao Liu , Hongye Su

In this paper, we introduce a class of future-focused control barrier functions (ff-CBF) aimed at improving traditionally myopic CBF based control design and study their efficacy in the context of an unsignaled four-way intersection…

Optimization and Control · Mathematics 2022-10-05 Mitchell Black , Mrdjan Jankovic , Abhishek Sharma , Dimitra Panagou

Recent work has shown that stabilizing an affine control system while optimizing a quadratic cost subject to state and control constraints can be mapped to a sequence of Quadratic Programs (QPs) using Control Barrier Functions (CBFs) and…

Optimization and Control · Mathematics 2024-07-26 Shuo Liu , Wei Xiao , Calin A. Belta

This letter studies the dynamical properties of safety filters designed based on Control Barrier Functions (CBF). This mechanism, which is popular in safety-critical applications, takes a nominal controller and minimally modifies it to…

Optimization and Control · Mathematics 2026-03-19 Pol Mestres , Shima Sadat Mousavi , Aaron D. Ames

Constructing a control invariant set with an appropriate shape that fits within a given state constraint is a fundamental problem in safety-critical control but is known to be difficult, especially for large or complex spaces. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Inkyu Jang , H. Jin Kim

This work develops a robust adaptive control strategy for discrete-time systems using Control Barrier Functions (CBFs) to ensure safety under parametric model uncertainty and disturbances. A key contribution of this work is establishing a…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Changrui Liu , Anil Alan , Shengling Shi , Bart De Schutter

In this paper, we present a novel probabilistic safe control framework for human-robot interaction that combines control barrier functions (CBFs) with conformal risk control to provide formal safety guarantees while considering complex…

Robotics · Computer Science 2026-03-12 Jake Gonzales , Kazuki Mizuta , Karen Leung , Lillian J. Ratliff

Safe path planning is critical for bipedal robots to operate in safety-critical environments. Common path planning algorithms, such as RRT or RRT*, typically use geometric or kinematic collision check algorithms to ensure collision-free…

Robotics · Computer Science 2022-10-10 Chengyang Peng , Octavian Donca , Ayonga Hereid

Ensuring both performance and safety is critical for autonomous systems operating in real-world environments. While safety filters such as Control Barrier Functions (CBFs) enforce constraints by modifying nominal controllers in real time,…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aditya Singh , Aastha Mishra , Manan Tayal , Shishir Kolathaya , Pushpak Jagtap

Control Barrier Functions (CBFs) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often involve the feedback interconnection of subsystems evolving…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

This paper addresses the problem of guaranteeing safety of multiple coordinated agents moving in dynamic environments. It has recently been shown that this problem can be efficiently solved through the notion of Control Barrier Functions…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Aurora Haraldsen , Josef Matous , Kristin Y. Pettersen

Control barrier function (CBF)-based safety filters provide a systematic way to enforce state constraints, but they can significantly alter the closed-loop dynamics induced by a nominal, stabilizing controller. In particular, the resulting…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Yiting Chen , Pol Mestres , Emiliano Dall'Anese , Jorge Cortés