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This paper proposes a new set of conditions for exactly representing collision avoidance constraints within optimization-based motion planning algorithms. The conditions are continuously differentiable and therefore suitable for use with…

Robotics · Computer Science 2023-02-21 James Guthrie

This paper addresses forward motion control for trajectory tracking and mobile formation coordination for a group of non-holonomic vehicles on SE(2). Firstly, by constructing an intermediate attitude variable which involves vehicles'…

Systems and Control · Computer Science 2019-03-01 Xiuhui Peng , Zhiyong Sun , Kexin Guo , Zhiyong Geng

We consider the problem of designing distributed collision-avoidance multi-agent control in large-scale environments with potentially moving obstacles, where a large number of agents are required to maintain safety using only local…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Songyuan Zhang , Kunal Garg , Chuchu Fan

Navigation functions provide both path and motion planning, which can be used to ensure obstacle avoidance and convergence in the sphere world. When dealing with complex and realistic scenarios, constructing a transformation to the sphere…

Robotics · Computer Science 2022-10-04 Li Fan , Jianchang Liu , Wenle Zhang , Peng Xu

We present a control framework for achieving encirclement of a target moving in 3D using a multi-robot system. Three variations of a basic control strategy are proposed for different versions of the encirclement problem, and their…

Systems and Control · Computer Science 2016-05-24 Antonio Franchi , Paolo Stegagno , Giuseppe Oriolo

Modern autonomous systems, such as flying, legged, and wheeled robots, are generally characterized by high-dimensional nonlinear dynamics, which presents challenges for model-based safety-critical control design. Motivated by the success of…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

Optimal control problems are formulated and efficient computational procedures are proposed for attitude dynamics of a rigid body with symmetry. The rigid body is assumed to act under a gravitational potential and under a structured control…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , N. Harris McClamroch , Melvin Leok

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

Optimization and Control · Mathematics 2017-11-28 Shankar Kulumani , Taeyoung Lee

Control barrier functions (CBFs) have been widely applied to safety-critical robotic applications. However, the construction of control barrier functions for robotic systems remains a challenging task. Recently, collision detection using…

This paper considers the motion control of a particle and a spinning disc on rotating earth. The equations of motion are derived using Lagrangian mechanics. Trajectory planning is studied as an optimization problem using the method referred…

Fluid Dynamics · Physics 2012-10-25 Fangxu Jing , Eva Kanso , Paul K. Newton

This work combines control barrier functions (CBFs) with a whole-body controller to enable self-collision avoidance for the MIT Humanoid. Existing reactive controllers for self-collision avoidance cannot guarantee collision-free…

Robotics · Computer Science 2022-11-08 Charles Khazoom , Daniel Gonzalez-Diaz , Yanran Ding , Sangbae Kim

An optimal control problem for longitudinal motions of a thin elastic rod is considered. We suppose that a normal force, which changes piecewise constantly along the rod's length, is applied to the cross-section so that the positions of…

Optimization and Control · Mathematics 2023-04-13 Georgy Kostin , Alexander Gavrikov

In this paper, we address the problem of predicting collision for objects moving on the surface of a spherical manifold. Toward this end, we develop the notion of a collision triangle on such manifolds. We use this to determine analytical…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Animesh Chakravarthy , Debasish Ghose

This work introduces a distributed formation control strategy for multi-agent systems based solely on rotation symmetry constraints. We propose a potential function that enforces inter-agent \textbf{rotational} symmetries, whose gradient…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Zamir Martinez , Daniel Zelazo

This paper addresses the problem of collaborative formation control for multi-agent systems with limited resources. We consider a team of robots tasked with achieving a desired formation from an arbitrary initial configuration. To reduce…

Robotics · Computer Science 2026-04-07 Evangelos Psomiadis , Panagiotis Tsiotras

This paper proposes an integrated approach for the safe and efficient control of mobile robots in dynamic and uncertain environments. The approach consists of two key steps: one-shot multimodal motion prediction to anticipate motions of…

Robotics · Computer Science 2025-06-05 Ze Zhang , Georg Hess , Junjie Hu , Emmanuel Dean , Lennart Svensson , Knut Åkesson

Although extensive research in emergency collision avoidance has been carried out for straight or curved roads in a highway scenario, a general method that could be implemented for all road environments has not been thoroughly explored.…

Robotics · Computer Science 2023-02-10 Xu Shang , Azim Eskandarian

Coordination of local and global aerial traffic has become a legal and technological bottleneck as the number of unmanned vehicles in the common airspace continues to grow. To meet this challenge, automation and decentralization of control…

Robotics · Computer Science 2023-12-19 Boldizsár Balázs , Tamás Vicsek , Gergő Somorjai , Tamás Nepusz , Gábor Vásárhelyi

Avoiding collisions between obstacles and vehicles such as cars, robots or aircraft is essential to the development of automation and autonomy. To simplify the problem, many collision avoidance algorithms and proofs consider vehicles to be…

Robotics · Computer Science 2022-07-18 Nishant Kheterpal , Elanor Tang , Jean-Baptiste Jeannin

We introduce a visual motion segmentation method employing spherical geometry for fisheye cameras and automoated driving. Three commonly used geometric constraints in pin-hole imagery (the positive height, positive depth and epipolar…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Letizia Mariotti , Ciaran Eising
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