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Enforcing multiple constraints based on the concept of control barrier functions (CBFs) is a remaining challenge because each of the CBFs requires a condition on the control inputs to be satisfied which may easily lead to infeasibility…

最优化与控制 · 数学 2025-08-26 Mark Spiller , Emilia Isbono , Philipp Schitz

Control barrier functions (CBFs) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

系统与控制 · 电气工程与系统科学 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

Recent work showed that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs and observing state and control constraints can be reduced to quadratic programs (QP) by using control barrier functions…

系统与控制 · 电气工程与系统科学 2020-02-12 Wei Xiao , Calin Belta , Christos G. Cassandras

In this paper, we show that under mild controllability assumptions a time-invariant Control Barrier Function (CBF) can be constructed based on predictions with a finite horizon. As a starting point, we require only a known subset of a…

系统与控制 · 电气工程与系统科学 2023-09-20 Adrian Wiltz , Xiao Tan , Dimos V. Dimarogonas

Control barrier functions (CBFs) have been widely applied to safety-critical robotic applications. However, the construction of control barrier functions for robotic systems remains a challenging task. Recently, collision detection using…

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…

系统与控制 · 电气工程与系统科学 2020-08-11 Max Cohen , Calin Belta

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…

系统与控制 · 电气工程与系统科学 2025-03-26 Shengbo Wang , Ke Li , Zheng Yan , Zhenyuan Guo , Song Zhu , Guanghui Wen , Shiping Wen

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…

系统与控制 · 电气工程与系统科学 2023-01-02 Wei Xiao , Christos G. Cassandras , Calin A. Belta , Daniela Rus

Control Barrier Functions (CBFs) are an effective methodology to ensure safety and performative efficacy in real-time control applications such as power systems, resource allocation, autonomous vehicles, robotics, etc. This approach ensures…

最优化与控制 · 数学 2024-09-30 Samy Wu Fung , Levon Nurbekyan

This paper studies safety and feasibility guarantees for systems with tight control bounds. It has been shown that stabilizing an affine control system while optimizing a quadratic cost and satisfying state and control constraints can be…

最优化与控制 · 数学 2024-09-10 Shuo Liu , Wei Xiao , Calin A. Belta

In this work, we propose a Model Predictive Control (MPC) formulation incorporating two distinct horizons: a prediction horizon and a constraint horizon. This approach enables a deeper understanding of how constraints influence key system…

系统与控制 · 电气工程与系统科学 2025-03-25 Allan Andre Do Nascimento , Han Wang , Antonis Papachristodoulou , Kostas Margellos

We consider the merging control problem for Connected and Automated Vehicles (CAVs) aiming to jointly minimize travel time and energy consumption while providing speed-dependent safety guarantees and satisfying velocity and acceleration…

系统与控制 · 电气工程与系统科学 2022-03-10 Kaiyuan Xu , Wei Xiao , Christos G. Cassandras

This paper addresses the challenge of ensuring safety in stochastic control systems with high-relative-degree constraints, while maintaining feasibility and mitigating conservatism in risk evaluation. Control Barrier Functions (CBFs)…

最优化与控制 · 数学 2025-12-08 Shuo Liu , Calin A. Belta

Safety is one of the most crucial challenges of autonomous driving vehicles, and one solution to guarantee safety is to employ an additional control revision module after the planning backbone. Control Barrier Function (CBF) has been widely…

机器人学 · 计算机科学 2025-03-18 Zehang Zhu , Yuning Wang , Tianqi Ke , Zeyu Han , Shaobing Xu , Qing Xu , John M. Dolan , Jianqiang Wang

Safety-critical whole-body robot control demands reactive methods that ensure collision avoidance in real-time. Complementarity constraints and control barrier functions (CBF) have emerged as core tools for ensuring such safety constraints,…

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…

最优化与控制 · 数学 2022-07-12 Alexander Katriniok

Control Barrier Functions (CBFs) are a practical approach for designing safety-critical controllers, but constructing them for arbitrary nonlinear dynamical systems remains a challenge. Recent efforts have explored learning-based methods,…

系统与控制 · 电气工程与系统科学 2025-05-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

Control Barrier Functions (CBFs) can provide provable safety guarantees for dynamic systems. However, finding a valid CBF for a system of interest is often non-trivial, especially for systems having low computational resources, higher-order…

机器人学 · 计算机科学 2026-03-06 Mattias Trende , Petter Ögren

Control Barrier Functions (CBFs) have been widely utilized in the design of optimization-based controllers and filters for dynamical systems to ensure forward invariance of a given set of safe states. While CBF-based controllers offer…

系统与控制 · 电气工程与系统科学 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

Control barrier functions (CBFs) have become a popular tool to enforce safety of a control system. CBFs are commonly utilized in a quadratic program formulation (CBF-QP) as safety-critical constraints. A class $\mathcal{K}$ function in CBFs…

系统与控制 · 电气工程与系统科学 2022-04-12 Hengbo Ma , Bike Zhang , Masayoshi Tomizuka , Koushil Sreenath