English
Related papers

Related papers: Data-Driven Input-Output Control Barrier Functions

200 papers

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

This paper addresses the challenge of synthesizing safety-critical controllers for high-order nonlinear systems, where constructing valid Control Barrier Functions (CBFs) remains computationally intractable. Leveraging layered control, we…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Jixian Liu , Enrique Mallada

We consider the problem of navigating a nonlinear dynamical system from some initial set to some target set while avoiding collision with an unsafe set. We extend the concept of density function to control density function (CDF) for solving…

Systems and Control · Electrical Eng. & Systems 2024-03-22 Joseph Moyalan , Sriram S. K. S Narayanan , Andrew Zheng , Umesh Vaidya

Ensuring safety in the sense of constraint satisfaction for learning-based control is a critical challenge, especially in the model-free case. While safety filters address this challenge in the model-based setting by modifying unsafe…

Systems and Control · Electrical Eng. & Systems 2026-01-15 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

We propose integrating an approximation of a predictive control barrier function (PCBF) in a safety filter framework, resulting in a prediction horizon independent formulation. The PCBF is defined through the value function of an optimal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Alexandre Didier , Melanie N. Zeilinger

Control barrier functions are mathematical constructs used to guarantee safety for robotic systems. When integrated as constraints in a quadratic programming optimization problem, instantaneous control synthesis with real-time performance…

Robotics · Computer Science 2020-03-12 Mohit Srinivasan , Amogh Dabholkar , Samuel Coogan , Patricio Vela

Robot motion planning is central to real-world autonomous applications, such as self-driving cars, persistence surveillance, and robotic arm manipulation. One challenge in motion planning is generating control signals for nonlinear systems…

Robotics · Computer Science 2019-10-08 Guang Yang , Bee Vang , Zachary Serlin , Calin Belta , Roberto Tron

Safety is one of the fundamental problems in robotics. Recently, one-step or multi-step optimal control problems for discrete-time nonlinear dynamical system were formulated to offer tracking stability using control Lyapunov functions…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Jun Zeng , Zhongyu Li , Koushil Sreenath

This contribution introduces a centralized input constrained optimal control framework based on multiple control barrier functions (CBFs) to coordinate connected and automated agents at intersections. For collision avoidance, we propose a…

Optimization and Control · Mathematics 2022-07-12 Alexander Katriniok

Safety is of paramount importance in control systems to avoid costly risks and catastrophic damages. The control barrier function (CBF) method, a promising solution for safety-critical control, poses a new challenge of enhancing control…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Shengbo Wang , Ke Li , Zheng Yan , Zhenyuan Guo , Song Zhu , Guanghui Wen , Shiping Wen

In this paper, we establish a connection between model predictive control (MPC) techniques and Control Barrier Functions (CBFs). Recognizing the similarity between CBFs and Control Lyapunov Functions (CLFs), we propose a MPC formulation…

Optimization and Control · Mathematics 2025-07-03 Jingyi Huang , Han Wang , Kostas Margellos , Paul Goulart

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

We present a new guaranteed-safe model predictive path integral (GS-MPPI) control algorithm that enhances sample efficiency in nonlinear systems with multiple safety constraints. The approach use a composite control barrier function (CBF)…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Pedram Rabiee , Jesse B. Hoagg

Ensuring safety for autonomous systems under uncertainty remains challenging, particularly when safety of the true state is required despite the true state not being fully known. Control barrier functions (CBFs) have become widely adopted…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Ruoyu Lin , Magnus Egerstedt

We address the problem of optimizing the performance of a dynamic system while satisfying hard safety constraints at all times. Implementing an optimal control solution is limited by the computational cost required to derive it in real…

Systems and Control · Electrical Eng. & Systems 2020-08-19 Wei Xiao , Christos G. Cassandras , Calin A. Belta

Sampling-based motion planning methods for manipulators in crowded environments often suffer from expensive collision checking and high sampling complexity, which make them difficult to use in real time. To address this issue, we propose a…

Robotics · Computer Science 2024-04-02 Mingxin Yu , Chenning Yu , M-Mahdi Naddaf-Sh , Devesh Upadhyay , Sicun Gao , Chuchu Fan

Control Barrier Functions (CBFs) are becoming popular tools in guaranteeing safety for nonlinear systems and constraints, and they can reduce a constrained optimal control problem into a sequence of Quadratic Programs (QPs) for affine…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wei Xiao , Christos G. Cassandras , Calin A. Belta , Daniela Rus

Safe navigation of autonomous robots remains one of the core challenges in the field, especially in dynamic and uncertain environments. One of the prevalent approaches is safety filtering based on control barrier functions (CBFs), which are…

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

In safety-critical control systems, ensuring both system safety and smooth control input is essential for practical deployment. Existing Control Barrier Function (CBF) frameworks, especially High-Order CBFs (HOCBFs), effectively enforce…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Shuo Liu , Wei Xiao , Calin A. Belta

While control barrier functions (CBFs) are employed in addressing safety, control synthesis methods based on them generally rely on accurate system dynamics. This is a critical limitation, since the dynamics of complex systems are often not…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Armin Lederer , Azra Begzadić , Sandra Hirche , Jorge Cortés , Sylvia Herbert