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In this paper, we study the relationship between systems controlled via Control Barrier Function (CBF) approaches and a class of discontinuous dynamical systems, called Projected Dynamical Systems (PDSs). In particular, under appropriate…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Giannis Delimpaltadakis , W. P. M. H. Heemels

This paper presents an approach for navigation and control in unmapped environments under input and state constraints using a composite control barrier function (CBF). We consider the scenario where real-time perception feedback (e.g.,…

Robotics · Computer Science 2025-04-08 Amirsaeid Safari , Jesse B. Hoagg

We develop a novel adaptation-based technique for safe control design in the presence of multiple control barrier function (CBF) constraints. Specifically, we introduce an approach for synthesizing any number of candidate CBFs into one…

Optimization and Control · Mathematics 2022-09-20 Mitchell Black , Dimitra Panagou

This paper presents a constraint-lifting control framework for designing stabilizing controllers that guarantee the forward invariance of a prescribed safe set. State-of-the-art safety-enforcing methods, such as control barrier functions…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

This paper presents a feasibility-enhanced control barrier function (FECBF) framework for multi-UAV collision avoidance. In dense multi-UAV scenarios, the feasibility of the CBF quadratic program (CBF-QP) can be compromised due to internal…

Robotics · Computer Science 2026-03-16 Qishen Zhong , Junlong Wu , Jian Yang , Guanwei Xiao , Junqi Wu , Zimeng Jiang , Pingan Fang

Control barrier functions (CBFs) have recently introduced a systematic tool to ensure system safety by establishing set invariance. When combined with a nominal control strategy, they form a safety-critical control mechanism. However, the…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Mohammad Aali , Jun Liu

This paper presents an adaptive control approach for uncertain nonlinear systems subject to safety constraints that allows for modularity in the selection of the parameter estimation algorithm. Such modularity is achieved by unifying the…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Max Cohen , Calin Belta

This paper presents a time-varying soft-maximum composite control barrier function (CBF) that can be used to ensure safety in an a priori unknown environment, where local perception information regarding the safe set is periodically…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Amirsaeid Safari , Jesse B. Hoagg

Enforcing multiple constraints based on the concept of control barrier functions (CBFs) is a remaining challenge because each of the CBFs requires a condition on the control inputs to be satisfied which may easily lead to infeasibility…

Optimization and Control · Mathematics 2025-08-26 Mark Spiller , Emilia Isbono , Philipp Schitz

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…

Robotics · Computer Science 2022-02-22 Yiwei Lyu , Wenhao Luo , John M. Dolan

We propose a novel zero-order control barrier function (ZOCBF) for sampled-data systems to ensure system safety. Our formulation generalizes conventional control barrier functions and straightforwardly handles safety constraints with…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Xiao Tan , Ersin Das , Aaron D. Ames , Joel W. Burdick

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has methods for direct construction of value functions that…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Jason J. Choi , Donggun Lee , Koushil Sreenath , Claire J. Tomlin , Sylvia L. Herbert

Control barrier functions provide a powerful means for synthesizing safety filters that ensure safety framed as forward set invariance. Key to CBFs' effectiveness is the simple inequality on the system dynamics: $\dot{h} \geq - \alpha(h)$.…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

Applications that require multi-robot systems to operate independently for extended periods of time in unknown or unstructured environments face a broad set of challenges, such as hardware degradation, changing weather patterns, or…

Robotics · Computer Science 2021-04-16 Yousef Emam , Paul Glotfelter , Sean Wilson , Gennaro Notomista , Magnus Egerstedt

Using a port-Hamiltonian formalism, we show the qualitative and quantitative effect of safety-critical control implemented with control barrier functions (CBFs) on the power balance of controlled physical systems. The presented results will…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Federico Califano , Riccardo Zanella , Alessandro Macchelli , Stefano Stramigioli

Researchers have developed various cascaded controllers and non-cascaded controllers for the navigation and control of quadrotors in recent years. It is vital to ensure the safety of a quadrotor both in normal state and in abnormal state if…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Weifeng Zeng , Huanhui Cao , Wenjie Lu , Hao Xiong

In this draft article, we consider the problem of achieving safe control of a dynamic system for which the safety index or (control barrier function (loosely)) has relative degree equal to two. We consider parameter affine nonlinear dynamic…

Optimization and Control · Mathematics 2022-08-26 Jaskaran Singh Grover , Changliu Liu , Katia Sycara

Control Barrier Functions (CBFs) have emerged as efficient tools to address the safe navigation problem for robot applications. However, synthesizing informative and obstacle motion-aware CBFs online using real-time sensor data remains…

Robotics · Computer Science 2025-12-02 Xin Yin , Chenyang Liang , Yanning Guo , Jie Mei

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

We study the problem of synthesizing non-smooth control barrier functions (CBFs) for continuous-time switched affine systems. Switched affine systems are defined by a set of affine dynamical modes, wherein the control consists of a…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Sara Kamali , Guillaume O. Berger , Sriram Sankaranarayanan