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Using a designed vector field to control a mobile robot to follow a given desired path is intuitive and practical, and to build a rigorous theory to guide its implementation is essential. In this paper, we study the properties of a general…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Weijia Yao , Ming Cao

Learning robot motions from demonstration requires models able to specify vector fields for the full robot pose when the task is defined in operational space. Recent advances in reactive motion generation have shown that learning adaptive,…

Robotics · Computer Science 2022-10-04 Julen Urain , Davide Tateo , Jan Peters

A path-following control algorithm enables a system's trajectories under its guidance to converge to and evolve along a given geometric desired path. There exist various such algorithms, but many of them can only guarantee local convergence…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Weijia Yao , Bohuan Lin , Brian D. O. Anderson , Ming Cao

This note proposes a general control approach, called vector-field guided constraint-following control, to solve the dynamics control problem of geometric path-following for a class of uncertain mechanical systems. More specifically, it…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Hui Yin , Xiang Li , Yifan Liu , Weijia Yao

Accurately following a geometric desired path in a two-dimensional space is a fundamental task for many engineering systems, in particular mobile robots. When the desired path is occluded by obstacles, it is necessary and crucial to…

Systems and Control · Electrical Eng. & Systems 2022-05-26 Weijia Yao , Bohuan Lin , Brian D. O. Anderson , Ming Cao

Inverse kinematics is a fundamental technique for motion and positioning control in robotics, typically applied to end-effectors. In this paper, we extend the concept of inverse kinematics to guiding vector fields for path following in…

Robotics · Computer Science 2025-02-25 Yu Zhou , Jesús Bautista , Weijia Yao , Héctor García de Marina

It is essential in many applications to impose a scalable coordinated motion control on a large group of mobile robots, which is efficient in tasks requiring repetitive execution, such as environmental monitoring. In this paper, we design a…

Robotics · Computer Science 2021-04-12 Weijia Yao , Hector Garcia de Marina , Zhiyong Sun , Ming Cao

This article presents an in-depth review of the topic of path following for autonomous robotic vehicles, with a specific focus on vehicle motion in two dimensional space (2D). From a control system standpoint, path following can be…

Vector field guided path following (VF-PF) algorithms are fundamental in robot navigation tasks, but may not deliver the desirable performance when robots encounter singular points where the vector field becomes zero. The existence of…

Systems and Control · Electrical Eng. & Systems 2020-09-02 Weijia Yao , Hector Garcia de Marina , Ming Cao

Reference path following is a key component in the functioning of almost all engineered autonomous agents. Among several path following guidance methods in existing literature, vector-field-based guidance approach has got wide attention…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Subham Basak , Satadal Ghosh

The configuration of most robotic systems lies in continuous transformation groups. However, in mobile robot trajectory tracking, many recent works still naively utilize optimization methods for elements in vector space without considering…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Jiawei Tang , Shuang Wu , Bo Lan , Yahui Dong , Yuqiang Jin , Guangjian Tian , Wen-An Zhang , Ling Shi

We propose coordinating guiding vector fields to achieve two tasks simultaneously with a team of robots: first, the guidance and navigation of multiple robots to possibly different paths or surfaces typically embedded in 2D or 3D; second,…

Robotics · Computer Science 2022-11-01 Weijia Yao , Hector Garcia de Marina , Zhiyong Sun , Ming Cao

In this paper we propose an algorithm for path following control of the nonholonomic mobile robot based on the idea of the guiding vector field (GVF). The desired path may be an arbitrary smooth curve in its implicit form, that is, a level…

Systems and Control · Computer Science 2019-09-20 Yuri A. Kapitanyuk , Anton V. Proskurnikov , Ming Cao

This work focuses on pose-following, a variant of path-following in which the goal is to steer the system's position and attitude along a path with a moving frame attached to it. Full body motion control, while accounting for the additional…

Robotics · Computer Science 2023-12-18 Jon Arrizabalaga , Markus Ryll

In this paper we study a path-following problem on $R^3$ with a non-holonomic constraint. The geometric structure associated to the velocity constraint is explored, and general principles for constructing guiding vector fields are obtained,…

Dynamical Systems · Mathematics 2026-04-13 Bohuan Lin , Weijia Yao

This article is a technical report on the two different guidance systems based on vector fields that can be found in Paparazzi, a free sw/hw autopilot. Guiding vector fields allow autonomous vehicles to track paths described by the user…

Robotics · Computer Science 2021-06-22 Hector Garcia de Marina , Murat Bronz , Gautier Hattenberger

This paper presents a guidance algorithm for solving the problem of following parametric paths, as well as a curvature-varying speed setpoint for land-based car-type wheeled mobile robots (WMRs). The guidance algorithm relies on…

Robotics · Computer Science 2026-01-16 Alfredo González-Calvin , Lía García-Pérez , Juan Jiménez

This paper presents a novel feedback method on the motion planning for unicycle robots in environments with static obstacles, along with an extension to the distributed planning and coordination in multi-robot systems. The method employs a…

Robotics · Computer Science 2014-10-22 Dimitra Panagou

The operation of an autonomous underwater vehicle (AUV) faces challenges in following predetermined waypoints due to coupled motions under environmental disturbances. To address this, a 3D path following guidance and control system is…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Isah A. Jimoh , Hong Yue

Maneuvering a general 2-trailer with a car-like tractor in backward motion is a task that requires significant skill to master and is unarguably one of the most complicated tasks a truck driver has to perform. This paper presents a path…

Robotics · Computer Science 2020-02-24 Oskar Ljungqvist , Niclas Evestedt , Daniel Axehill , Marcello Cirillo , Henrik Pettersson
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