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This article introduces the Pareto Control Barrier Function (PCBF) algorithm to maximize the inner safe set of dynamical systems under input constraints. Traditional Control Barrier Functions (CBFs) ensure safety by maintaining system…

最优化与控制 · 数学 2025-03-21 Xiaoyang Cao , Zhe Fu , Alexandre M. Bayen

The existence of a Control Barrier Function (CBF) for a control-affine system provides a powerful design tool to ensure safety. Any controller that satisfies the CBF condition and ensures that the trajectories of the closed-loop system are…

最优化与控制 · 数学 2023-06-14 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

Safety is one of the most important properties of control systems. Sensor faults and attacks and actuator failures may cause errors in the sensor measurements and system dynamics, which leads to erroneous control inputs and hence safety…

系统与控制 · 电气工程与系统科学 2025-06-30 Hongchao Zhang , Zhouchi Li , Andrew Clark

This paper presents a comprehensive approach for the safety-critical control of robotic manipulators operating in dynamic environments. Building upon the framework of Control Barrier Functions (CBFs), we extend the collision cone…

机器人学 · 计算机科学 2025-03-04 Lucas Almeida

Safety-critical control is essential for humanoid robots operating in complex human-centered environments, where physical safety constraints such as joint limits, self-collision avoidance, obstacle avoidance, and workspace boundaries must…

机器人学 · 计算机科学 2026-05-26 Kwanwoo Lee , Sanghyuk Park , Gyeongjae Park , Myeong-Ju Kim , Jaeheung Park

In this paper, we introduce a class of future-focused control barrier functions (ff-CBF) aimed at improving traditionally myopic CBF based control design and study their efficacy in the context of an unsignaled four-way intersection…

最优化与控制 · 数学 2022-10-05 Mitchell Black , Mrdjan Jankovic , Abhishek Sharma , Dimitra Panagou

In this paper, we propose a new class of Control Barrier Functions (CBFs) for Unmanned Ground Vehicles (UGVs) that help avoid collisions with kinematic (non-zero velocity) obstacles. While the current forms of CBFs have been successful in…

Autonomous robot navigation can be particularly demanding, especially when the surrounding environment is not known and safety of the robot is crucial. This work relates to the synthesis of Control Barrier Functions (CBFs) through data for…

机器人学 · 计算机科学 2024-07-30 Marvin Harms , Mihir Kulkarni , Nikhil Khedekar , Martin Jacquet , Kostas Alexis

In this paper, we develop a novel closed-form Control Barrier Function (CBF) and associated controller shield for the Kinematic Bicycle Model (KBM) with respect to obstacle avoidance. The proposed CBF and shield -- designed by an algorithm…

机器人学 · 计算机科学 2025-03-18 James Ferlez , Mahmoud Elnaggar , Yasser Shoukry , Cody Fleming

A common assumption on the deployment of safeguarding controllers on the digital platform is that high sampling frequency translates to a small violation of safety. This paper investigates and formalizes this assumption through the lens of…

系统与控制 · 电气工程与系统科学 2023-10-04 Gilbert Bahati , Pio Ong , Aaron D. Ames

We consider the problem of designing controllers to guarantee safety in a class of nonlinear systems under uncertainties in the system dynamics and/or the environment. We define a class of uncertain control barrier functions (CBFs), and…

系统与控制 · 电气工程与系统科学 2023-09-20 Vipul K. Sharma , S. Sivaranjani

This paper proposes a fair control framework for multi-robot systems, which integrates the newly introduced Alternative Authority Control (AAC) and Flexible Control Barrier Function (F-CBF). Control authority refers to a single robot which…

机器人学 · 计算机科学 2024-09-18 Lei Shi , Qichao Liu , Cheng Zhou , Xiong Li

This work addresses the challenge of safe and efficient mobile robot navigation in complex dynamic environments with concave moving obstacles. Reactive safe controllers like Control Barrier Functions (CBFs) design obstacle avoidance…

机器人学 · 计算机科学 2026-02-12 Yifan Xue , Ze Zhang , Knut Åkesson , Nadia Figueroa

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…

系统与控制 · 电气工程与系统科学 2024-11-12 Andrew Clark

Cyber-physical and autonomous systems are often equipped with mechanisms that provide predictions/projections of future disturbances, e.g., road curvatures, commonly referred to as preview or lookahead, but this preview information is…

系统与控制 · 电气工程与系统科学 2024-03-08 Tarun Pati , Seunghoon Hwang , Sze Zheng Yong

Adaptive Control Lyapunov Functions (aCLFs) were introduced 20 years ago, and provided a Lyapunov-based methodology for stabilizing systems with parameter uncertainty. The goal of this paper is to revisit this classic formulation in the…

系统与控制 · 电气工程与系统科学 2020-11-20 Andrew J. Taylor , Aaron D. Ames

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…

最优化与控制 · 数学 2024-02-28 Logan E. Beaver

Control Barrier Functions (CBFs) offer a framework for ensuring set invariance and designing constrained control laws. However, crafting a valid CBF relies on system-specific assumptions and the availability of an accurate system model,…

系统与控制 · 电气工程与系统科学 2025-05-14 Mohammad Bajelani , Klaske van Heusden

In fields such as mining, search and rescue, and archaeological exploration, ensuring real-time, collision-free navigation of robots in confined, cluttered environments is imperative. Despite the value of established path planning…

机器人学 · 计算机科学 2024-03-28 Manan Tayal , Shishir Kolathaya

In this paper, we define and analyze a subclass of (time-invariant) Control Barrier Functions (CBF) that have favorable properties for the construction of uniformly timevarying CBFs and thereby for the satisfaction of uniformly time-varying…

系统与控制 · 电气工程与系统科学 2024-08-26 Adrian Wiltz , Dimos V. Dimarogonas