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Motion planning is a difficult problem in robot control. The complexity of the problem is directly related to the dimension of the robot's configuration space. While in many theoretical calculations and practical applications the…

Robotics · Computer Science 2020-05-26 Felix Wiebe , Shivesh Kumar , Daniel Harnack , Malte Langosz , Hendrik Wöhrle , Frank Kirchner

This paper provides new results for a tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid complexities and…

Optimization and Control · Mathematics 2010-10-11 Taeyoung Lee

The design of the path-following controller is crucial for reliable autonomous vehicle operation. This design problem is especially challenging for a general 2-trailer with a car-like tractor due to the vehicle's unstable joint-angle…

Optimization and Control · Mathematics 2020-05-07 Oskar Ljungqvist , Daniel Axehill , Henrik Pettersson , Johan Löfberg

The focus of this paper is to develop a methodology that enables an unmanned surface vehicle (USV) to efficiently track a planned path. The introduction of a vector field-based adaptive line of-sight guidance law (VFALOS) for accurate…

Robotics · Computer Science 2024-04-08 Jie Qi , Ronghua Wanga , Nailong Wu

The control of free-floating robots requires dealing with several challenges. The motion of such robots evolves on a continuous manifold described by the Special Euclidean Group of dimension 3, known as SE(3). Methods from finite horizon…

Robotics · Computer Science 2023-07-27 Shivesh Kumar , Andreas Mueller , Patrick Wensing , Frank Kirchner

Currently state estimation is very important for the robotics, and the uncertainty representation based Lie group is natural for the state estimation problem. It is necessary to exploit the geometry and kinematic of matrix Lie group…

Robotics · Computer Science 2022-08-16 Yarong Luo , Mengyuan Wang , Chi Guo

The trajectory tracking problem is a fundamental control task in the study of mechanical systems. A key construction in tracking control is the error or difference between an actual and desired trajectory. This construction also lies at the…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Matthew Hampsey , Pieter van Goor , Ravi Banavar , Robert Mahony

This technical note aims to introduce geometric controllers to roboticists for aligning \emph{3D robots} with non-constant 3D vector fields. This alignment entails the control of the robot's 3D attitude. We derive with excessive detail all…

Robotics · Computer Science 2024-06-24 Jesus Bautista , Hector Garcia de Marina

The present paper proposes a unified geometric framework for coordinated motion on Lie groups. It first gives a general problem formulation and analyzes ensuing conditions for coordinated motion. Then, it introduces a precise method to…

Optimization and Control · Mathematics 2008-07-29 Alain Sarlette , Silvère Bonnabel , Rodolphe Sepulchre

Parkour presents a highly challenging task for legged robots, requiring them to traverse various terrains with agile and smooth locomotion. This necessitates comprehensive understanding of both the robot's own state and the surrounding…

Robotics · Computer Science 2024-09-04 Shixin Luo , Songbo Li , Ruiqi Yu , Zhicheng Wang , Jun Wu , Qiuguo Zhu

In this paper we address the problem of path planning in an unknown environment with an aerial robot. The main goal is to safely follow the planned trajectory by avoiding obstacles. The proposed approach is suitable for aerial vehicles…

Robotics · Computer Science 2023-06-29 Ana Batinovic , Jurica Goricanec , Lovro Markovic , Stjepan Bogdan

End-effector trajectory tracking algorithms find joint motions that drive robot manipulators to track reference trajectories. In practical scenarios, anytime algorithms are preferred for their ability to quickly generate initial motions and…

Robotics · Computer Science 2025-02-07 Yeping Wang , Michael Gleicher

Warehouse logistics robots will work in different warehouse environments. In order to enable robots to perceive environment and plan path faster without modifying existing warehouses, we uses monocular camera to achieve an efficient robot…

Robotics · Computer Science 2018-07-18 Ziqiang Wang , Hegen Xu , Youwen Wan

In this paper, we study under which conditions the trajectories of a mechanical control system can track any curve on the configuration manifold. We focus on systems that can be represented as forced affine connection control systems and we…

Optimization and Control · Mathematics 2009-12-01 María Barbero-Liñán , Mario Sigalotti

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

This paper develops a guidance control law based on a parametric Guiding Vector Field (GVF) and integrates it with a state-of-the-art acceleration and attitude control architecture for tailsitters. The resulting framework enables a direct…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Evangelos Ntouros , Ewoud J. J. Smeur

Autonomous surface vehicles (ASVs) are influenced by environmental disturbances such as wind and waves, making accurate trajectory tracking a persistent challenge in dynamic marine conditions. In this paper, we propose an efficient…

Robotics · Computer Science 2026-02-03 Yinan Dong , Ziyu Xu , Tsimafei Lazouski , Sangli Teng , Maani Ghaffari

In the robot follow-ahead task, a mobile robot is tasked to maintain its relative position in front of a moving human actor while keeping the actor in sight. To accomplish this task, it is important that the robot understand the full 3D…

Robotics · Computer Science 2024-03-21 Qingyuan Jiang , Burak Susam , Jun-Jee Chao , Volkan Isler

We consider the tracking of geometric paths in output spaces of nonlinear systems subject to input and state constraints without pre-specified timing requirements. Such problems are commonly referred to as constrained output path-following…

Systems and Control · Computer Science 2017-07-18 Timm Faulwasser , Rolf Findeisen

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa
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