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This paper addresses the challenge of safe navigation for rigid-body mobile robots in dynamic environments. We introduce an analytic approach to compute the distance between a polygon and an ellipse, and employ it to construct a control…

Robotics · Computer Science 2024-05-01 Kehan Long , Khoa Tran , Melvin Leok , Nikolay Atanasov

We consider the problem of navigating a nonlinear dynamical system from some initial set to some target set while avoiding collision with an unsafe set. We extend the concept of density function to control density function (CDF) for solving…

Systems and Control · Electrical Eng. & Systems 2024-03-22 Joseph Moyalan , Sriram S. K. S Narayanan , Andrew Zheng , Umesh Vaidya

Online generation of collision free trajectories is of prime importance for autonomous navigation. Dynamic environments, robot motion and sensing uncertainties adds further challenges to collision avoidance systems. This paper presents an…

Robotics · Computer Science 2021-04-06 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

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…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Hengbo Ma , Bike Zhang , Masayoshi Tomizuka , Koushil Sreenath

State-of-the-art generalist manipulation policies have enabled the deployment of robotic manipulators in unstructured human environments. However, these frameworks struggle in cluttered environments primarily because they utilize auxiliary…

Robotics · Computer Science 2026-03-26 Davood Soleymanzadeh , Ivan Lopez-Sanchez , Hao Su , Yunzhu Li , Xiao Liang , Minghui Zheng

Safe UAV navigation is challenging due to the complex environment structures, dynamic obstacles, and uncertainties from measurement noises and unpredictable moving obstacle behaviors. Although plenty of recent works achieve safe navigation…

Robotics · Computer Science 2022-03-15 Zhefan Xu , Di Deng , Yiping Dong , Kenji Shimada

In this paper a global reactive motion planning framework for robotic manipulators in complex dynamic environments is presented. In particular, the circular field predictions (CFP) planner from Becker et al. (2021) is extended to ensure…

Safely navigating around obstacles while respecting the dynamics, control, and geometry of the underlying system is a key challenge in robotics. Control Barrier Functions (CBFs) generate safe control policies by considering system dynamics…

Robotics · Computer Science 2025-09-16 Yi-Hsuan Chen , Shuo Liu , Wei Xiao , Calin Belta , Michael Otte

The representation of a Configuration Space C plays a vital role in accelerating the finding of a collision-free path for sampling-based motion planners where the majority of computation time is spent in collision checking of states.…

Robotics · Computer Science 2024-06-07 Jorge Ocampo Jimenez , Wael Suleiman

Navigating robots safely and efficiently in crowded and complex environments remains a significant challenge. However, due to the dynamic and intricate nature of these settings, planning efficient and collision-free paths for robots to…

Robotics · Computer Science 2024-10-22 Zhuanglei Wen , Mingze Dong , Xiai Chen

Control Barrier Functions (CBFs) provide a powerful framework for ensuring safety in dynamical systems. However, their application typically relies on full state information, which is often violated in real-world due to the availability of…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Vaishnavi Jagabathula , Ahan Basu , Pushpak Jagtap

The presence of task constraints imposes a significant challenge to motion planning. Despite all recent advancements, existing algorithms are still computationally expensive for most planning problems. In this paper, we present Constrained…

Robotics · Computer Science 2020-08-11 Ahmed H. Qureshi , Jiangeng Dong , Austin Choe , Michael C. Yip

Neural Signed Distance Fields (SDFs) provide a differentiable environment representation to readily obtain collision checks and well-defined gradients for robot navigation tasks. However, updating neural SDFs as the scene evolves entails…

Robotics · Computer Science 2025-03-07 S. Talha Bukhari , Daniel Lawson , Ahmed H. Qureshi

In this paper, we propose a safety-critical controller based on time-varying control barrier functions (CBFs) for a robot with an unicycle model in the continuous-time domain to achieve navigation and dynamic collision avoidance. Unlike…

Robotics · Computer Science 2023-07-18 Jihao Huang , Zhitao Liu , Jun Zeng , Xuemin Chi , Hongye Su

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,…

Robotics · Computer Science 2026-03-09 Shuo Liu , Zhe Huang , Calin A. Belta

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…

Systems and Control · Electrical Eng. & Systems 2024-12-09 William D. Compton , Max H. Cohen , Aaron D. Ames

This paper considers the general problem of transitioning theoretically safe controllers to hardware. Concretely, we explore the application of control barrier functions (CBFs) to sampled-data systems: systems that evolve continuously but…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Andrew Singletary , Yuxiao Chen , 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…

Robotics · Computer Science 2026-04-14 Lishuo Pan , Mattia Catellani , Thales C. Silva , Lorenzo Sabattini , Nora Ayanian

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…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

This paper presents a safety-critical approach to the coordination of robots in dynamic environments. To this end, we leverage control barrier functions (CBFs) with the forward reachable set to guarantee the safe coordination of the robots…

Robotics · Computer Science 2023-12-15 Jeeseop Kim , Jaemin Lee , Aaron D. Ames
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