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This paper introduces a novel safety-critical control method through the synthesis of control barrier functions (CBFs) for systems with high-relative-degree safety constraints. By extending the procedure of CBF backstepping, we propose…

Dynamical Systems · Mathematics 2025-08-29 Laszlo Gacsi , Max H. Cohen , Tamas G. Molnar

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

This paper proposes a collision avoidance method for ellipsoidal rigid bodies, which utilizes a control barrier function (CBF) designed from a supporting hyperplane. We formulate the problem in the Special Euclidean Group SE(2) and SE(3),…

Systems and Control · Electrical Eng. & Systems 2023-08-24 Riku Funada , Koju Nishimoto , Tatsuya Ibuki , Mitsuji Sampei

With the increasing need for safe control in the domain of autonomous driving, model-based safety-critical control approaches are widely used, especially Control Barrier Function (CBF)-based approaches. Among them, Exponential CBF (eCBF) is…

Robotics · Computer Science 2022-05-10 Spencer Van Koevering , Yiwei Lyu , Wenhao Luo , John Dolan

This paper presents a novel collision avoidance method for general ellipsoids based on control barrier functions (CBFs) and separating hyperplanes. First, collision-free conditions for general ellipsoids are analytically derived using the…

Robotics · Computer Science 2025-07-28 Zeming Wu , Lu Liu

This work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Adam K. Kiss , Tamas G. Molnar , Aaron D. Ames , Gabor Orosz

This paper presents a new control barrier function (CBF) designed to improve the efficiency of collision avoidance for nonholonomic vehicles. Traditional CBFs typically rely on the shortest Euclidean distance to obstacles, overlooking the…

Robotics · Computer Science 2025-03-27 Changyu Lee , Kiyong Park , Jinwhan Kim

This paper presents a collision avoidance method for elliptical agents traveling in a two-dimensional space. We first formulate a separation condition for two elliptical agents utilizing a signed distance from a supporting line of an agent…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Koju Nishimoto , Riku Funada , Tatsuya Ibuki , Mitsuji Sampei

A safe controller for multicopter is proposed using control barrier function. Multicopter dynamics are reformulated to deal with mixed-relative-degree and non-strict-feedback-form dynamics, and a time-varying safe backstepping controller is…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Jinrae Kim , Youdan Kim

Control barrier functions have been demonstrated to be a useful method of ensuring constraint satisfaction for a wide class of controllers, however existing results are mostly restricted to continuous time systems of relative degree one.…

Robotics · Computer Science 2019-03-26 Wenceslao Shaw Cortez , Denny Oetomo , Chris Manzie , Peter Choong

This paper presents a safety-critical control framework to maintain bounded lateral motions for vehicles braking on asymmetric surfaces. We synthesize a brake controller that assists drivers and guarantees safety against excessive lateral…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Laszlo Gacsi , Adam K. Kiss , Tamas G. Molnar

In recent years, the analysis of a control barrier function has received considerable attention because it is helpful for the safety-critical control required in many control application problems. While the extension of the analysis to a…

Optimization and Control · Mathematics 2024-04-18 Yuki Nishimura , Kenta Hoshino

This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite-time horizon. We use stochastic control barrier functions as a means to quantify the probability that a system exits a given safe region of…

Systems and Control · Electrical Eng. & Systems 2019-09-12 Cesar Santoyo , Maxence Dutreix , Samuel Coogan

This paper considers collision avoidance for vehicles with first-order nonholonomic constraints maintaining nonzero forward speeds, moving within dynamic environments. We leverage the concept of control barrier functions (CBFs) to…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Aurora Haraldsen , Martin S. Wiig , Aaron D. Ames , Kristin Y. Pettersen

This letter addresses the constraint compatibility problem of control barrier functions (CBFs), which occurs when a safety-critical CBF requires a system to apply more control effort than it is capable of generating. This inevitably leads…

Optimization and Control · Mathematics 2024-02-28 Logan E. Beaver

Autonomous vehicles face tremendous challenges while interacting with human drivers in different kinds of scenarios. Developing control methods with safety guarantees while performing interactions with uncertainty is an ongoing research…

Robotics · Computer Science 2021-04-30 Yiwei Lyu , Wenhao Luo , John M. Dolan

This paper presents a novel approach to automated drifting with a standard passenger vehicle, which involves a Nonlinear Model Predictive Control to stabilise and maintain the vehicle at high sideslip angle conditions. The proposed…

Robotics · Computer Science 2024-05-20 Stan Meijer , Alberto Bertipaglia , Barys Shyrokau

Safety requirements in dynamical systems are commonly enforced with set invariance constraints over a safe region of the state space. Control barrier functions, which are Lyapunov-like functions for guaranteeing set invariance, are an…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Mohit Srinivasan , Matthew Abate , Gustav Nilsson , Samuel Coogan

Control barrier function (CBF)-based methods provide the minimum modification necessary to formally guarantee safety in the context of quadratic programming, and strict safety guarantee for safety critical systems. However, most CBF-related…

Systems and Control · Electrical Eng. & Systems 2025-12-27 Xiaoxiao Li , Zhirui Sun , Hongpeng Wang , Shuai Li , Jiankun Wang

In many safety-critical control systems, possibly opposing safety restrictions and control performance objectives arise. To confront such a conflict, this letter proposes a novel methodology that embeds safety into stability of control…

Systems and Control · Electrical Eng. & Systems 2021-08-23 Hassan Almubarak , Nader Sadegh , Evangelos A. Theodorou
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