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Precise trajectory tracking for legged robots can be challenging due to their high degrees of freedom, unmodeled nonlinear dynamics, or random disturbances from the environment. A commonly adopted solution to overcome these challenges is to…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Amit K. Sanyal , Zhenyu Gan

The usefulness in control theory of the geometric theory of motion on Lie groups and homogeneous spaces will be shown. We quickly review some recent results concerning two methods to deal with these systems, namely, a generalization of the…

Mathematical Physics · Physics 2009-11-10 José F. Cariñena , Jesús Clemente-Gallardo , Arturo Ramos

In this work, we consider a group of robots working together to manipulate a rigid object to track a desired trajectory in $SE(3)$. The robots do not know the mass or friction properties of the object, or where they are attached to the…

Robotics · Computer Science 2021-08-23 Preston Culbertson , Jean-Jacques E. Slotine , Mac Schwager

Autonomous ground vehicles have been designed for the purpose of that relies on ranging and bearing information received from forward looking camera on the Formation control . A visual guidance control algorithm is designed where real time…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 S. M. Vaitheeswaran , Bharath M. K. , Gokul M

Serially connected robots are promising candidates for performing tasks in confined spaces such as search-and-rescue in large-scale disasters. Such robots are typically limbless, and we hypothesize that the addition of limbs could improve…

The accurate tracking of live cells using video microscopy recordings remains a challenging task for popular state-of-the-art image processing based object tracking methods. In recent years, several existing and new applications have…

Image and Video Processing · Electrical Eng. & Systems 2025-02-03 Gergely Szabó , Paolo Bonaiuti , Andrea Ciliberto , András Horváth

This article develops and proposes a geometric nonlinear proportional-integral-derivative (PID) type tracking control scheme on the Lie group of rigid body rotations, SO(3). Like PD-type attitude tracking control schemes that have been…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Hossein Eslamiat , Ningshan Wang , Amit K. Sanyal

Safe and smooth robot motion around obstacles is an essential skill for autonomous robots, especially when operating around people and other robots. Conventionally, due to real-time operation requirements and onboard computation…

Robotics · Computer Science 2022-12-06 Ömür Arslan

This paper investigates a hybrid solution which combines deep reinforcement learning (RL) and classical trajectory planning for the following in front application. Here, an autonomous robot aims to stay ahead of a person as the person…

Robotics · Computer Science 2020-11-09 Payam Nikdel , Richard Vaughan , Mo Chen

Multi-mobile robot systems show great advantages over one single robot in many applications. However, the robots are required to form desired task-specified formations, making feasible motions decrease significantly. Thus, it is challenging…

Robotics · Computer Science 2022-10-10 Wenhang Liu , Jiawei Hu , Heng Zhang , Michael Yu Wang , Zhenhua Xiong

A novel Neural Network architecture is proposed using the mathematically and physically rich idea of vector fields as hidden layers to perform nonlinear transformations in the data. The data points are interpreted as particles moving along…

Machine Learning · Computer Science 2018-02-23 Daniel Vieira , Fabio Rangel , Fabricio Firmino , Joao Paixao

The (parallel) linear transports along paths in vector bundles are axiomatically described. Their general form and certain properties are found. It is shown that these transports are locally (i.e. along every fixed path) always Euclidean…

Differential Geometry · Mathematics 2007-05-23 Bozhidar Z. Iliev

This article presents a three-dimensional nonlinear trajectory tracking control strategy for unmanned aerial vehicles (UAVs) in the presence of spatial constraints. As opposed to many existing control strategies, which do not consider…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

Computer vision has received a significant attention in recent year, which is one of the important parts for robots to obtain information about the external environment. Visual trackers can provide the necessary physical and environmental…

Computer Vision and Pattern Recognition · Computer Science 2019-10-23 Shaoze You , Hua Zhu , Menggang Li , Yutan Li

This paper deals with the leader-follower attitude synchronization problem for a group of heterogeneous rigid body systems on $SO(3)$ under an undirected, connected, and acyclic graph communication topology. The proposed distributed control…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yiliang Li , Jun-e Feng , Abdelhamid Tayebi

Research in the field of automated driving has created promising results in the last years. Some research groups have shown perception systems which are able to capture even complicated urban scenarios in great detail. Yet, what is often…

Systems and Control · Computer Science 2017-08-15 Marcus Nolte , Marcel Rose , Torben Stolte , Markus Maurer

This paper addresses the design of an optimization-based cooperative path-following control law for multiple robotic vehicles that optimally balances the transient trade-off between coordination and path-following errors. To this end, we…

Systems and Control · Electrical Eng. & Systems 2019-07-22 Andrea Alessandretti , A. Pedro Aguiar

Existing visual tracking methods usually localize a target object with a bounding box, in which the performance of the foreground object trackers or detectors is often affected by the inclusion of background clutter. To handle this problem,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Chenglong Li , Liang Lin , Wangmeng Zuo , Jin Tang , Ming-Hsuan Yang

Mechanical control systems such as aerial, marine, space, and terrestrial robots often naturally admit a state-space that has the structure of a Lie group. The kinetic energy of such systems is commonly invariant to the induced action by…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Matthew Hampsey , Pieter van Goor , Ravi Banavar , Robert Mahony

Understanding how grid cells perform path integration calculations remains a fundamental problem. In this paper, we conduct theoretical analysis of a general representation model of path integration by grid cells, where the 2D self-position…

Neurons and Cognition · Quantitative Biology 2021-11-04 Ruiqi Gao , Jianwen Xie , Xue-Xin Wei , Song-Chun Zhu , Ying Nian Wu