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A predictive control barrier function (PCBF) based safety filter is a modular framework to verify safety of a control input by predicting a future trajectory. The approach relies on the solution of two optimization problems, first computing…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger

Control Barrier Functions (CBFs) have emerged as a powerful paradigm in control theory, providing a principled approach to enforcing safety-critical constraints in dynamic systems. This survey paper comprehensively explores the foundational…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Promit Panja

This paper presents a methodology for constructing Control Barrier Functions (CBFs) that proactively consider the future safety of a system along a nominal trajectory, and effect corrective action before the trajectory leaves a designated…

Optimization and Control · Mathematics 2023-06-09 Joseph Breeden , Dimitra Panagou

Control barrier function (CBF) has recently started to serve as a basis to develop approaches for enforcing safety requirements in control systems. However, constructing such function for a general system is a non-trivial task. This paper…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Zihao Liang , Jason King Ching Lo

Control barrier functions (CBFs) have become a popular tool to enforce safety of a control system. CBFs are commonly utilized in a quadratic program formulation (CBF-QP) as safety-critical constraints. A class $\mathcal{K}$ function in CBFs…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Hengbo Ma , Bike Zhang , Masayoshi Tomizuka , Koushil Sreenath

Robots deployed in unstructured, real-world environments operate under considerable uncertainty due to imperfect state estimates, model error, and disturbances. Given this real-world context, the goal of this paper is to develop controllers…

Systems and Control · Electrical Eng. & Systems 2023-02-27 Ryan K. Cosner , Preston Culbertson , Andrew J. Taylor , Aaron D. Ames

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…

Robotics · Computer Science 2022-11-22 Stephen McIlvanna , Nhat Nguyen Minh , Yuzhu Sun , Mien Van , Wasif Naeem

Control barrier functions (CBFs) have been demonstrated as an effective method for safety-critical control of autonomous systems. Although CBFs are simple to deploy, their design remains challenging, motivating the development of…

Robotics · Computer Science 2026-03-10 Bojan Derajić , Sebastian Bernhard , Wolfgang Hönig

Control Barrier Functions (CBFs) can provide provable safety guarantees for dynamic systems. However, finding a valid CBF for a system of interest is often non-trivial, especially for systems having low computational resources, higher-order…

Robotics · Computer Science 2026-03-06 Mattias Trende , Petter Ögren

Safe real-time control of robotic manipulators in unstructured environments requires handling numerous safety constraints without compromising task performance. Traditional approaches, such as artificial potential fields (APFs), suffer from…

Robotics · Computer Science 2025-10-21 Daniel Morton , Marco Pavone

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…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Shuo Liu , Wei Xiao , Calin A. Belta

Recent advances allow for the automation of food preparation in high-throughput environments, yet the successful deployment of these robots requires the planning and execution of quick, robust, and ultimately collision-free behaviors. In…

Robotics · Computer Science 2022-05-03 Andrew Singletary , William Guffey , Tamas G. Molnar , Ryan Sinnet , Aaron D. Ames

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…

Robotics · Computer Science 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee

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

Control barrier functions (CBFs) are widely used in safety-critical controllers. However, constructing a valid CBF is challenging, especially under nonlinear or non-convex constraints and for high relative degree systems. Meanwhile, finding…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

Control Barrier functions (CBFs) have attracted extensive attention for designing safe controllers for their deployment in real-world safety-critical systems. However, the perception of the surrounding environment is often subject to…

Robotics · Computer Science 2023-09-19 Alaa Eddine Chriat , Chuangchuang Sun

Sampling-based algorithms, such as Rapidly Exploring Random Trees (RRT) and its variants, have been used extensively for motion planning. Control barrier functions (CBFs) have been recently proposed to synthesize controllers for…

Robotics · Computer Science 2022-06-03 Ahmad Ahmad , Calin Belta , Roberto Tron

Autonomy advances have enabled robots in diverse environments and close human interaction, necessitating controllers with formal safety guarantees. This paper introduces an experimental platform designed for the validation and demonstration…

Robotics · Computer Science 2023-10-18 Bhavya Giri Goswami , Manan Tayal , Karthik Rajgopal , Pushpak Jagtap , Shishir Kolathaya

This paper introduces a predictive control barrier function (PCBF) framework for enforcing state constraints in discrete-time systems with unknown relative degree, which can be caused by input delays or unmodeled input dynamics. Existing…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Juan Augusto Paredes Salazar , James Usevitch , Ankit Goel

Safety is one of the most important properties of control systems. Sensor faults and attacks and actuator failures may cause errors in the sensor measurements and system dynamics, which leads to erroneous control inputs and hence safety…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Hongchao Zhang , Zhouchi Li , Andrew Clark
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