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This paper presents a methodology for ensuring that the composition of multiple Control Barrier Functions (CBFs) always leads to feasible conditions on the control input, even in the presence of input constraints. In the case of a system…

最优化与控制 · 数学 2023-03-24 Joseph Breeden , Dimitra Panagou

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

We study the problem of co-designing control barrier functions (CBF) and linear state feedback controllers for continuous-time linear systems. We achieve this by means of a single semi-definite optimization program. Our formulation can…

最优化与控制 · 数学 2024-03-19 Han Wang , Kostas Margellos , Antonis Papachristodoulou , Claudio De Persis

The increasing complexity of control systems necessitates control laws that guarantee safety w.r.t. complex combinations of constraints. In this letter, we propose a framework to describe compositional safety specifications with control…

系统与控制 · 电气工程与系统科学 2023-12-05 Tamas G. Molnar , Aaron D. Ames

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

As modern systems become ever more connected with complex dynamic coupling relationships, developing safe control methods becomes paramount. In this paper, we discuss the relationship of node-level safety definitions for individual agents…

最优化与控制 · 数学 2024-07-16 Brooks A. Butler , Philip E. Paré

Control Barrier Functions (CBF) have provided a very versatile framework for the synthesis of safe control architectures for a wide class of nonlinear dynamical systems. Typically, CBF-based synthesis approaches apply to systems that…

系统与控制 · 电气工程与系统科学 2024-02-15 Shuo Yang , Mitchell Black , Georgios Fainekos , Bardh Hoxha , Hideki Okamoto , Rahul Mangharam

Control barrier functions (CBFs) offer a powerful tool for enforcing safety specifications in control synthesis. This paper deals with the problem of constructing valid CBFs. Given a second-order system and any desired safety set with…

系统与控制 · 电气工程与系统科学 2025-03-17 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

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…

系统与控制 · 电气工程与系统科学 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

最优化与控制 · 数学 2023-03-15 Devansh Agrawal , Dimitra Panagou

This paper investigates the distributed safety critical control for multi-agent systems (MASs) in the presence of uncontrollable agents with uncertain behaviors. To ensure system safety, the control barrier function (CBF) is employed in…

系统与控制 · 电气工程与系统科学 2026-05-22 Yuzhang Peng , Wei Wang , Jiaqi Yan , Mengze Yu

Connected automated vehicles have shown great potential to improve the efficiency of transportation systems in terms of passenger comfort, fuel economy, stability of driving behavior and mitigation of traffic congestions. Yet, to deploy…

系统与控制 · 电气工程与系统科学 2023-09-04 Tamas G. Molnar , Gabor Orosz , Aaron D. Ames

Control barrier functions (CBFs) have recently been introduced as a systematic tool to ensure safety by establishing set invariance. When combined with a control Lyapunov function (CLF), they form a safety-critical control mechanism.…

系统与控制 · 电气工程与系统科学 2024-04-22 Mohammad Aali , Jun Liu

Ensuring fairness in the coordination of connected and automated vehicles at intersections is essential for equitable access, social acceptance, and long-term system efficiency, yet it remains underexplored in safety-critical, real-time…

机器人学 · 计算机科学 2025-11-11 Lei Shi , Yongju Kim , Xinzhi Zhong , Wissam Kontar , Qichao Liu , Soyoung Ahn

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

系统与控制 · 电气工程与系统科学 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

Fixed-wing UAVs have transformed the transportation system with their high flight speed and long endurance, yet their safe operation in increasingly cluttered environments depends heavily on effective collision avoidance techniques. This…

系统与控制 · 电气工程与系统科学 2024-07-30 Aryan Agarwal , Ravi Agrawal , Manan Tayal , Pushpak Jagtap , Shishir Kolathaya

Safety is of great importance in multi-robot navigation problems. In this paper, we propose a control barrier function (CBF) based optimizer that ensures robot safety with both high probability and flexibility, using only sensor…

机器人学 · 计算机科学 2021-09-17 Yuxiang Cui , Longzhong Lin , Xiaolong Huang , Dongkun Zhang , Yue Wang , Rong Xiong

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

系统与控制 · 电气工程与系统科学 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames

We propose distributed iterative algorithms for safe control design and safety verification for networked multi-agent systems. These algorithms rely on distributing a control barrier function (CBF) related quadratic programming (QP) problem…

系统与控制 · 电气工程与系统科学 2025-11-25 Han Wang , Antonis Papachristodoulou , Kostas Margellos

In order to be effective partners for humans, robots must become increasingly comfortable with making contact with their environment. Unfortunately, it is hard for robots to distinguish between ``just enough'' and ``too much'' force: some…

机器人学 · 计算机科学 2022-09-27 Charles Dawson , Austin Garrett , Falk Pollok , Yang Zhang , Chuchu Fan