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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

This paper presents a framework for designing provably safe feedback controllers for sampled-data control affine systems with measurement and actuation uncertainties. Based on the interval Taylor model of nonlinear functions, a sampled-data…

Optimization and Control · Mathematics 2022-10-13 Yuhao Zhang , Sequoyah Walters , Xiangru Xu

Ensuring safe exploration in high-dimensional systems with unknown dynamics remains a significant challenge. Existing safe reinforcement learning methods often provide safety guarantees only in expectation, which can still lead to safety…

Machine Learning · Computer Science 2026-04-28 Rahul Narava , Siddharth Verma , Ojas Jain , Shashi Shekhar Jha , Mayank Shekhar Jha

Safety-critical control is a crucial aspect of modern systems, and Control Barrier Functions (CBFs) have gained popularity as the framework of choice for ensuring safety. However, implementing a CBF requires exact knowledge of the true…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Rahal Nanayakkara , Aaron D. Ames , Paulo Tabuada

Control barrier functions (CBFs) have been widely used for synthesizing controllers in safety-critical applications. When used as a safety filter, it provides a simple and computationally efficient way to obtain safe controls from a…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Bolun Dai , Heming Huang , Prashanth Krishnamurthy , Farshad Khorrami

To bring complex systems into real world environments in a safe manner, they will have to be robust to uncertainties - both in the environment and the system. This paper investigates the safety of control systems under input disturbances,…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Anil Alan , Andrew J. Taylor , Chaozhe R. He , Gábor Orosz , Aaron D. Ames

Implementing obstacle avoidance in dynamic environments is a challenging problem for robots. Model predictive control (MPC) is a popular strategy for dealing with this type of problem, and recent work mainly uses control barrier function…

Robotics · Computer Science 2024-04-10 Zetao Lu , Kaijun Feng , Jun Xu , Haoyao Chen , Yunjiang Lou

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

Control Barrier Functions (CBFs) have become a popular tool for enforcing set invariance in safety-critical control systems. While guaranteeing safety, most CBF approaches are myopic in the sense that they solve an optimization problem at…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Max Cohen , Calin Belta

This paper presents a new approach for guaranteed safety subject to input constraints (e.g., actuator limits) using a composition of multiple control barrier functions (CBFs). First, we present a method for constructing a single CBF from…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Pedram Rabiee , Jesse B. Hoagg

In this paper, we consider the use of barrier function-based approaches for the safe control problem in stochastic systems. With the presence of stochastic uncertainties, a myopic controller that ensures safe probability in infinitesimal…

Dynamical Systems · Mathematics 2021-11-04 Zhuoyuan Wang , Haoming Jing , Christian Kurniawan , Albert Chern , Yorie Nakahira

Discrete-time Control Barrier Functions (DTCBFs) have recently attracted interest for guaranteeing safety and synthesizing safe controllers for discrete-time dynamical systems. This paper addresses the open challenges of verifying candidate…

Optimization and Control · Mathematics 2025-09-24 Erfan Shakhesi , W. P. M. H. Heemels , Alexander Katriniok

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

Safety critical systems involve the tight coupling between potentially conflicting control objectives and safety constraints. As a means of creating a formal framework for controlling systems of this form, and with a view toward automotive…

Optimization and Control · Mathematics 2018-02-27 Aaron D. Ames , Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada

We propose control barrier functions (CBFs) for a family of dynamical systems to satisfy a broad fragment of Signal Temporal Logic (STL) specifications, which may include subtasks with nested temporal operators or conflicting requirements…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Ali Tevfik Buyukkocak , Derya Aksaray , Yasin Yazıcıoğlu

Temporal logics provide a formalism for expressing complex system specifications. A large body of literature has addressed the verification and the control synthesis problem for deterministic systems under such specifications. For…

Logic · Mathematics 2020-08-27 Lars Lindemann , George J. Pappas , Dimos V. Dimarogonas

This paper studies the problem of finite-time convergence to a prescribed safe set for nonlinear systems whose initial states violate the safety constraints. Existing Control Lyapunov-Barrier Functions (CLBFs) can enforce recovery to the…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Anni Li , Yingqing Chen , Christos G. Cassandras , Wei Xiao

A fundamental and classical problem in mobile autonomous systems is maintaining the safety of autonomous agents during deployment. Prior literature has presented techniques using control barrier functions (CBFs) to achieve this goal. These…

Optimization and Control · Mathematics 2025-03-18 James Usevitch , Jackson Sahleen

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

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
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