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This article presents a closed-form adaptive controlbarrier-function (CBF) approach for satisfying state constraints in systems with parametric uncertainty. This approach uses a sampled-data recursive-least-squares algorithm to estimate the…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Ricardo Gutierrez , Jesse B. Hoagg

Recent developments in autonomous driving and robotics underscore the necessity of safety-critical controllers. Control barrier functions (CBFs) are a popular method for appending safety guarantees to a general control framework, but they…

Robotics · Computer Science 2025-05-21 Matthew Kim , William Sharpless , Hyun Joe Jeong , Sander Tonkens , Somil Bansal , Sylvia Herbert

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

Guaranteeing the safety of controllers is vital for real-world applications, but is markedly difficult when the states are not perfectly known and when the control inputs are bounded. Backup control barrier functions (bCBFs) use predictions…

Systems and Control · Electrical Eng. & Systems 2026-04-23 David E. J. van Wijk , Tamas G. Molnar , Samuel Coogan , Manoranjan Majji , Aaron D. Ames , Joel W. Burdick

This paper addresses the challenge of integrating explicit hard constraints into the control barrier function (CBF) framework for ensuring safety in autonomous systems, including robots. We propose a novel data-driven method to derive CBFs…

Robotics · Computer Science 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

Motion planning failures during autonomous navigation often occur when safety constraints are either too conservative, leading to deadlocks, or too liberal, resulting in collisions. To improve robustness, a robot must dynamically adapt its…

Robotics · Computer Science 2025-03-12 Nicholas Mohammad , Nicola Bezzo

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

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 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

Set invariance techniques such as control barrier functions (CBFs) can be used to enforce time-varying constraints such as keeping a safe distance from dynamic objects. However, existing methods for enforcing time-varying constraints often…

Robotics · Computer Science 2025-11-19 Yitaek Kim , Christoffer Sloth

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

This paper proposes a unified control framework based on Response-Aware Risk-Constrained Control Barrier Function for dynamic safety boundary control of vehicles. Addressing the problem of physical model parameter mismatch, the framework…

Optimization and Control · Mathematics 2026-03-27 Qijun Liao , Jue Yang

In this paper, we consider a way to safely navigate the robots in unknown environments using measurement data from sensory devices. The control barrier function (CBF) is one of the promising approaches to encode safety requirements of the…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Wataru Hashimoto , Kazumune Hashimoto , Akifumi Wachi , Xun Shen , Masako Kishida , Shigemasa Takai

In a complex real-time operating environment, external disturbances and uncertainties adversely affect the safety, stability, and performance of dynamical systems. This paper presents a robust stabilizing safety-critical controller…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Ersin Daş , Richard M. Murray

Construction automation increasingly requires autonomous mobile robots, yet robust autonomy remains challenging on construction sites. These environments are dynamic and often visually occluded, which complicates perception and navigation.…

Robotics · Computer Science 2026-02-16 Johannes Mootz , Reza Akhavian

This paper studies the problem of safe control of sampled-data systems under bounded disturbance and measurement errors with piecewise-constant controllers. To achieve this, we first propose the High-Order Doubly Robust Control Barrier…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Pradeep Sharma Oruganti , Parinaz Naghizadeh , Qadeer Ahmed

Model information can be used to predict future trajectories, so it has huge potential to avoid dangerous region when implementing reinforcement learning (RL) on real-world tasks, like autonomous driving. However, existing studies mostly…

Robotics · Computer Science 2021-03-08 Haitong Ma , Jianyu Chen , Shengbo Eben Li , Ziyu Lin , Yang Guan , Yangang Ren , Sifa Zheng

Control barrier functions (CBF) are widely explored to enforce the safety-critical constraints on nonlinear systems recently. There are many researchers incorporating the control barrier functions into path planning algorithms to find a…

Robotics · Computer Science 2024-10-02 Leonas Liu , Yingfan Zhang , Larry Zhang , Mehbi Kermanshabi

Guaranteeing safety for robotic and autonomous systems in real-world environments is a challenging task that requires the mitigation of stochastic uncertainties. Control barrier functions have, in recent years, been widely used for…

Systems and Control · Electrical Eng. & Systems 2022-03-31 Andrew Singletary , Mohamadreza Ahmadi , Aaron D. Ames

Safety is always one of the most critical principles for a system to be controlled. This paper investigates a safety-critical control scheme for unknown structured systems by using the control barrier function (CBF) method. Benefited from…

Systems and Control · Electrical Eng. & Systems 2022-01-17 Shengbo Wang , Bo Lyu , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang
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