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Control barrier functions guarantee safety but typically require accurate system models. Parametric uncertainty invalidates these guarantees. Existing robust methods maintain safety via worst-case bounds, limiting performance, while modular…

系统与控制 · 电气工程与系统科学 2026-01-27 Mohammadreza Kamaldar

We present a perception-driven safety filter that converts each 3D Gaussian Splat (3DGS) into a closed-form forward collision cone, which in turn yields a first-order control barrier function (CBF) embedded within a quadratic program (QP).…

机器人学 · 计算机科学 2025-09-19 Dario Tscholl , Yashwanth Nakka , Brian Gunter

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

Obstacle avoidance between polytopes is a challenging topic for optimal control and optimization-based trajectory planning problems. Existing work either solves this problem through mixed-integer optimization, relying on simplification of…

机器人学 · 计算机科学 2022-06-01 Akshay Thirugnanam , Jun Zeng , Koushil Sreenath

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 collaborative human-robot environments, the unpredictable and dynamic nature of human motion can lead to situations where collisions become unavoidable. In such cases, it is essential for the robotic system to proactively mitigate…

机器人学 · 计算机科学 2026-04-09 Patanjali Maithani , Aliasghar Arab , Farshad Khorrami , Prashanth Krishnamurthy

It has been shown that optimizing quadratic costs while stabilizing affine control systems to desired (sets of) states subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) by using Control…

最优化与控制 · 数学 2023-03-17 Wei Xiao , Christos G. Cassandras , Calin A. Belta

It has been shown that satisfying state and control constraints while optimizing quadratic costs subject to desired (sets of) state convergence for affine control systems can be reduced to a sequence of quadratic programs (QPs) by using…

最优化与控制 · 数学 2020-11-18 Wei Xiao , Calin Belta , Christos G. Cassandras

Control Barrier Functions (CBFs) aim to ensure safety by constraining the control input at each time step so that the system state remains within a desired safe region. This paper presents a framework for CBFs in stochastic systems in the…

最优化与控制 · 数学 2020-10-20 Andrew Clark

Polygonal collision avoidance (PCA) is short for the problem of collision avoidance between two polygons (i.e., polytopes in planar) that own their dynamic equations. This problem suffers the inherent difficulty in dealing with non-smooth…

最优化与控制 · 数学 2025-05-14 Shizhen Wu , Yongchun Fang , Ning Sun , Biao Lu , Xiao Liang , Yiming Zhao

Recently, there has been increasing attention in robot research towards the whole-body collision avoidance. In this paper, we propose a safety-critical controller that utilizes time-varying control barrier functions (time varying CBFs)…

机器人学 · 计算机科学 2023-12-01 Jihao Huang , Xuemin Chi , Zhitao Liu , Hongye Su

Inter-robot collisions pose a significant safety risk when multiple robotic arms operate in close proximity. We present an online collision avoidance methodology leveraging High-Order Control Barrier Functions (HOCBFs) constructed for safe…

机器人学 · 计算机科学 2025-12-01 Ali Umut Kaypak , Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

To enable flexible, high-throughput automation in settings where people and robots share workspaces, collaborative robotic cells must reconcile stringent safety guarantees with the need for responsive and effective behavior. A dynamic…

Obstacle avoidance of polytopic obstacles by polytopic robots is a challenging problem in optimization-based control and trajectory planning. Many existing methods rely on smooth geometric approximations, such as hyperspheres or ellipsoids,…

机器人学 · 计算机科学 2026-03-09 Shuo Liu , Zhe Huang , Calin A. Belta

Control barrier functions (CBFs) provide a powerful tool for enforcing safety constraints in control systems, but their direct application to complex, high-dimensional dynamics is often challenging. In many settings, safety certificates are…

系统与控制 · 电气工程与系统科学 2026-03-17 Nikolaos Bousias , Charalampia Stamouli , Anastasios Tsiamis , George Pappas

We introduce AttentionSwarm, a novel benchmark designed to evaluate safe and efficient swarm control in a dynamic drone racing scenario. Central to our approach is the Attention Model-Based Control Barrier Function (CBF) framework, which…

This paper presents a new collision avoidance procedure for unmanned aerial vehicles in the presence of static and moving obstacles. The proposed procedure is based on a new form of local parametrized guidance vector fields, called…

机器人学 · 计算机科学 2021-06-28 Andrei Marchidan , Efstathios Bakolas

This paper presents a novel approach for synthesizing control barrier functions (CBFs) from high relative degree safety constraints: Rectified CBFs (ReCBFs). We begin by discussing the limitations of existing High-Order CBF approaches and…

系统与控制 · 电气工程与系统科学 2025-01-06 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

Incorporating both flexible and rigid components in robot designs offers a unique solution to the limitations of traditional rigid robotics by enabling both compliance and strength. This paper explores the challenges and solutions for…

机器人学 · 计算机科学 2024-03-28 Zach J. Patterson , Wei Xiao , Emily Sologuren , Daniela Rus

Safety has been of paramount importance in motion planning and control techniques and is an active area of research in the past few years. Most safety research for mobile robots target at maintaining safety with the notion of collision…

机器人学 · 计算机科学 2025-08-05 Manas Gupta , Xuesu Xiao