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This paper develops and experimentally evaluates a navigation function for quadrotor formation flight that is resilient to abrupt quadrotor failures and other obstacles. The navigation function is based on modeling healthy quadrotors as…

Robotics · Computer Science 2022-03-04 Matthew Romano , Harshvardhan Uppaluru , Hossein Rastgoftar , Ella Atkins

Learning-based controllers, such as neural network (NN) controllers, can show high empirical performance but lack formal safety guarantees. To address this issue, control barrier functions (CBFs) have been applied as a safety filter to…

Systems and Control · Electrical Eng. & Systems 2023-01-10 Shuo Yang , Shaoru Chen , Victor M. Preciado , Rahul Mangharam

Modern nonlinear control theory seeks to endow systems with properties of stability and safety, and have been deployed successfully in multiple domains. Despite this success, model uncertainty remains a significant challenge in synthesizing…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Andrew Taylor , Andrew Singletary , Yisong Yue , Aaron Ames

Ensuring safe robot operation in cluttered and dynamic environments remains a fundamental challenge. While control barrier functions provide an effective framework for real-time safety filtering, their performance critically depends on the…

Robotics · Computer Science 2026-02-12 Haocheng Zhao , Lukas Brunke , Oliver Lagerquist , Siqi Zhou , Angela P. Schoellig

In this paper, we analyze the system behavior for general nonlinear control-affine systems when a control barrier function-induced quadratic program-based controller is employed for feedback. In particular, we characterize the existence and…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Xiao Tan , Dimos V. Dimarogonas

This paper considers the safety-critical control design problem with output measurements. An observer-based safety control framework that integrates the estimation error quantified observer and the control barrier function (CBF) approach is…

Optimization and Control · Mathematics 2023-01-24 Yujie Wang , Xiangru Xu

Control barrier functions (CBFs) play a critical role in the design of safe optimization-based controllers for control-affine systems. Given a CBF associated with a desired ``safe'' set, the typical approach consists in embedding CBF-based…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Yiting Chen , Pol Mestres , Jorge Cortes , Emiliano Dall'Anese

This paper investigates the distributed safety critical control for multi-agent systems (MASs) in the presence of uncontrollable agents with uncertain behaviors. To ensure system safety, the control barrier function (CBF) is employed in…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yuzhang Peng , Wei Wang , Jiaqi Yan , Mengze Yu

This paper addresses the safety challenges in impulsive systems, where abrupt state jumps introduce significant complexities into system dynamics. A unified framework is proposed by integrating Quadratic Programming (QP), Control Barrier…

Optimization and Control · Mathematics 2025-04-11 Zihan Liu , Yuan-Hua Ni

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

This paper presents a methodology for ensuring that the composition of multiple Control Barrier Functions (CBFs) always leads to feasible conditions on the control input, even in the presence of input constraints. In the case of a system…

Optimization and Control · Mathematics 2023-03-24 Joseph Breeden , Dimitra Panagou

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

Control Barrier Functions (CBFs) have been demonstrated to be a powerful tool for safety-critical controller design for nonlinear systems. Existing design paradigms do not address the gap between theory (controller design with continuous…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Andrew J. Taylor , Victor D. Dorobantu , Ryan K. Cosner , Yisong Yue , Aaron D. Ames

This paper introduces integral control barrier functions (I-CBFs) as a means to enable the safety-critical integral control of nonlinear systems. Importantly, I-CBFs allow for the holistic encoding of both state constraints and input bounds…

Optimization and Control · Mathematics 2020-07-09 Aaron D. Ames , Gennaro Notomista , Yorai Wardi , Magnus Egerstedt

In emerging control applications involving multiple and complex tasks, safety filters are gaining prominence as a modular approach to enforcing safety constraints. Among various methods, control barrier functions (CBFs) are widely used for…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Jason J. Choi , Claire J. Tomlin , Shankar Sastry , Koushil Sreenath

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

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…

Robotics · Computer Science 2023-06-06 Ehsan Sabouni , H. M. Sabbir Ahmad , Wei Xiao , Christos G. Cassandras , Wenchao Li

Safety is a critical property for control systems in medicine, transportation, manufacturing, and other applications, and can be defined as ensuring positive invariance of a predefined safe set. This paper investigates the problems of…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Andrew Clark

We present a novel approach that aims to address both safety and stability of a haptic teleoperation system within a framework of Haptic Shared Autonomy (HSA). We use Control Barrier Functions (CBFs) to generate the control input that…

Robotics · Computer Science 2025-01-20 Dawei Zhang , Roberto Tron

This paper generalizes the control barrier function framework by replacing scalar-valued functions with matrix-valued ones. Specifically, we develop barrier conditions for safe sets defined by matrix inequalities -- both semidefinite and…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Pio Ong , Yicheng Xu , Ryan M. Bena , Faryar Jabbari , Aaron D. Ames