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Sampling-based algorithms, such as Rapidly Exploring Random Trees (RRT) and its variants, have been used extensively for motion planning. Control barrier functions (CBFs) have been recently proposed to synthesize controllers for…

Robotics · Computer Science 2022-06-03 Ahmad Ahmad , Calin Belta , Roberto Tron

This paper studies the leaderless formation flying problem with collision avoidance for a group of unmanned aerial vehicles (UAVs), which requires the UAVs to navigate through cluttered environments without colliding while maintaining the…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Yiming Wang , Yao Fang , Jie Mei , Youmin Gong , Guangfu Ma

We demonstrate a unified approach to rigorous design of safety-critical autonomous systems using the VerifAI toolkit for formal analysis of AI-based systems. VerifAI provides an integrated toolchain for tasks spanning the design process,…

Machine Learning · Computer Science 2020-05-15 Daniel J. Fremont , Johnathan Chiu , Dragos D. Margineantu , Denis Osipychev , Sanjit A. Seshia

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…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger

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…

Robotics · Computer Science 2022-06-01 Akshay Thirugnanam , Jun Zeng , Koushil Sreenath

This paper presents a decentralized safety filter for collision avoidance in multi-agent aerospace interception scenarios. The approach leverages robust control barrier functions (RCBFs) to guarantee forward invariance of safety sets under…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Johannes Autenrieb , Mark Spiller

This article proposes a novel Nonlinear Model Predictive Control (NMPC) framework for Micro Aerial Vehicle (MAV) autonomous navigation in constrained environments. The introduced framework allows us to consider the nonlinear dynamics of…

This paper presents an approach for navigation and control in unmapped environments under input and state constraints using a composite control barrier function (CBF). We consider the scenario where real-time perception feedback (e.g.,…

Robotics · Computer Science 2025-04-08 Amirsaeid Safari , Jesse B. Hoagg

This paper presents a robust computationally efficient real-time collision avoidance algorithm for Unmanned Aerial Vehicle (UAV), namely Memory-based Wall Following-Artificial Potential Field (MWF-APF) method. The new algorithm switches…

Robotics · Computer Science 2021-02-09 Han Wang , Muqing Cao , Hao Jiang , Lihua Xie

This paper presents an efficient and safe method to avoid static and dynamic obstacles based on LiDAR. First, point cloud is used to generate a real-time local grid map for obstacle detection. Then, obstacles are clustered by DBSCAN…

Robotics · Computer Science 2022-09-20 Zhuozhu Jian , Zihong Yan , Xuanang Lei , Zihong Lu , Bin Lan , Xueqian Wang , Bin Liang

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…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

This paper proposes a fully decentralized model predictive control (MPC) framework with control barrier function (CBF) constraints for safety-critical trajectory planning in multi-robot legged systems. The incorporation of CBF constraints…

This paper presents a novel collision avoidance method for general ellipsoids based on control barrier functions (CBFs) and separating hyperplanes. First, collision-free conditions for general ellipsoids are analytically derived using the…

Robotics · Computer Science 2025-07-28 Zeming Wu , Lu Liu

This paper presents a new trajectory planning method for multiple quadrotors in obstacle-dense environments. We suggest a relative safe flight corridor (RSFC) to model safe region between a pair of agents, and it is used to generate linear…

Systems and Control · Electrical Eng. & Systems 2019-09-09 Jungwon Park , H. Jin Kim

This paper presents a decentralized, collision-free framework for path following guidance of multiple uncrewed aerial vehicles (UAVs), while maintaining uniform spacing along a reference path. A vector field-based guidance law is employed…

Multiagent Systems · Computer Science 2026-04-22 Gautam Kumar , Amit Shivam , Ashwini Ratnoo

Taxiway routing and on-surface conflict avoidance are coupled safety-critical decision problems in airport surface operations. Existing planning and optimization methods are often limited by online computational cost, while reinforcement…

Artificial Intelligence · Computer Science 2026-05-13 Shizhong Zhou , Haifeng Liu , Zheng Zhang , Shiyu Zhang , Bo Yang , Yi Lin

Multi-quadrotor systems face significant challenges in decentralized control, particularly with safety and coordination under sensing and communication limitations. State-of-the-art methods leverage Control Barrier Functions (CBFs) to…

Robotics · Computer Science 2024-09-27 Manohari Goarin , Guanrui Li , Alessandro Saviolo , Giuseppe Loianno

We propose a unified framework to fast generate a safe optimal control action for a new task from existing controllers on Multi-Agent Systems (MASs). The control action composition is achieved by taking a weighted mixture of the existing…

Systems and Control · Electrical Eng. & Systems 2021-09-22 Lin Song , Neng Wan , Aditya Gahlawat , Chuyuan Tao , Naira Hovakimyan , Evangelos A. Theodorou

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…

Robotics · Computer Science 2026-03-16 Qishen Zhong , Junlong Wu , Jian Yang , Guanwei Xiao , Junqi Wu , Zimeng Jiang , Pingan Fang

We consider a coordinated complexity-aware 4D trajectory planning problem in this paper. A case study of multiple aircraft traversing through a sector that contains a network of airways and waypoints is utilized to illustrate the model and…

Optimization and Control · Mathematics 2016-03-03 Xiongwen Qian , Jianfeng Mao , Xudong Diao , Changpeng Yang