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This paper studies safety guarantees for systems with time-varying control bounds. It has been shown that optimizing quadratic costs subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) using…

最优化与控制 · 数学 2024-04-22 Shuo Liu , Wei Xiao , Calin A. Belta

In this paper, we present a controller framework that synthesizes control policies for Jump Markov Linear Systems subject to stochastic mode switches and imperfect mode estimation. Our approach builds on safe and robust methods for Model…

系统与控制 · 电气工程与系统科学 2024-09-17 Zakariya Laouar , Qi Heng Ho , Rayan Mazouz , Tyler Becker , Zachary N. Sunberg

This paper introduces a safety filter to ensure collision avoidance for multirotor aerial robots. The proposed formalism leverages a single Composite Control Barrier Function from all position constraints acting on a third-order nonlinear…

机器人学 · 计算机科学 2025-02-07 Marvin Harms , Martin Jacquet , Kostas Alexis

This paper presents a novel hierarchical, safety-critical control framework that integrates distributed nonlinear model predictive controllers (DNMPCs) with control barrier functions (CBFs) to enable cooperative locomotion of multi-agent…

机器人学 · 计算机科学 2025-03-20 Basit Muhammad Imran , Jeeseop Kim , Taizoon Chunawala , Alexander Leonessa , Kaveh Akbari Hamed

This paper presents a feasibility-enhanced control barrier function (FECBF) framework for multi-UAV collision avoidance. In dense multi-UAV scenarios, the feasibility of the CBF quadratic program (CBF-QP) can be compromised due to internal…

机器人学 · 计算机科学 2026-03-16 Qishen Zhong , Junlong Wu , Jian Yang , Guanwei Xiao , Junqi Wu , Zimeng Jiang , Pingan Fang

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

系统与控制 · 电气工程与系统科学 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

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

We propose a learning-based Control Barrier Function (CBF) to reduce conservatism in collision avoidance for car-like robots. Traditional CBFs often use the Euclidean distance between robots' centers as a safety margin, which neglects their…

机器人学 · 计算机科学 2025-11-11 Jianye Xu , Bassam Alrifaee

Safety critical systems involve the tight coupling between potentially conflicting control objectives and safety constraints. As a means of creating a formal framework for controlling systems of this form, and with a view toward automotive…

最优化与控制 · 数学 2018-02-27 Aaron D. Ames , Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada

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

The control barrier function (CBF) has become a fundamental tool in safety-critical systems design since its invention. Typically, the quadratic optimization framework is employed to accommodate CBFs, control Lyapunov functions (CLFs),…

最优化与控制 · 数学 2026-03-17 Junjun Xie , Liang Hu , Jiahu Qin , Jun Yang , Huijun Gao

This paper considers the safety-critical control design problem with output measurements. An observer-based safety control framework that integrates the estimation error quantified observer and the control barrier function (CBF) approach is…

最优化与控制 · 数学 2023-01-24 Yujie Wang , Xiangru Xu

Ensuring both performance and safety is critical for autonomous systems operating in real-world environments. While safety filters such as Control Barrier Functions (CBFs) enforce constraints by modifying nominal controllers in real time,…

系统与控制 · 电气工程与系统科学 2025-07-21 Aditya Singh , Aastha Mishra , Manan Tayal , Shishir Kolathaya , Pushpak Jagtap

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

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

Recent advances allow for the automation of food preparation in high-throughput environments, yet the successful deployment of these robots requires the planning and execution of quick, robust, and ultimately collision-free behaviors. In…

机器人学 · 计算机科学 2022-05-03 Andrew Singletary , William Guffey , Tamas G. Molnar , Ryan Sinnet , Aaron D. Ames

Control barrier functions (CBFs) are an effective model-based tool to formally certify the safety of a system. With the growing complexity of modern control problems, CBFs have received increasing attention in both optimization-based and…

机器人学 · 计算机科学 2026-04-14 Lishuo Pan , Mattia Catellani , Thales C. Silva , Lorenzo Sabattini , Nora Ayanian

Safety filters leveraging control barrier functions (CBFs) are highly effective for enforcing safe behavior on complex systems. It is often easier to synthesize CBFs for a Reduced order Model (RoM), and track the resulting safe behavior on…

系统与控制 · 电气工程与系统科学 2024-12-09 William D. Compton , Max H. Cohen , Aaron D. Ames

Safety is a fundamental requirement of many robotic systems. Control barrier function (CBF)-based approaches have been proposed to guarantee the safety of robotic systems. However, the effectiveness of these approaches highly relies on the…

机器人学 · 计算机科学 2024-03-01 Hongchao Zhang , Luyao Niu , Andrew Clark , Radha Poovendran

A stochastic model predictive control (MPC) framework is presented in this paper for nonlinear affine systems with stability and feasibility guarantee. We first introduce the concept of stochastic control Lyapunov-barrier function (CLBF)…

系统与控制 · 电气工程与系统科学 2024-01-30 Weijiang Zheng , Bing Zhu