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This work proposes a novel 2-D formation control scheme for acyclic triangulated directed graphs (a class of minimally acyclic persistent graphs) based on bipolar coordinates with (almost) global convergence to the desired shape. Prescribed…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Farhad Mehdifar , Charalampos P. Bechlioulis , Julien M. Hendrickx , Dimos V. Dimarogonas

This paper studies the time-varying bearing-based tracking of leader-follower formations. The desired constraints between agents are specified by bearing vectors, and several leaders are moving with a bounded reference velocity. Each…

Multiagent Systems · Computer Science 2021-10-12 Dung Van Vu , Minh Hoang Trinh

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu

We study the general formation problem for a group of mobile agents in a plane, in which the agents are required to maintain a distribution pattern, as well as to rotate around or remain static relative to a static/moving target. The…

Optimization and Control · Mathematics 2018-09-18 Chen Wang , Weiguo Xia , Jinan Sun , Ruifeng Fan , Guangming Xie

Rigidity of the interaction graph is a fundamental condition for achieving the desired formation which can be defined in terms of distance or bearing constraints between agents. In this paper, for reaching a unique formation with the same…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Sara Mansourinasab , Mahdi Sojoodi , Seyed Reza Moghadasi

A decentralized feedback controller for multi-agent systems, inspired by vehicle platooning, is proposed. The closed loop resulting from the decentralized control action has three distinctive features: the generation of collision-free…

Optimization and Control · Mathematics 2025-04-01 Young-Pil Choi , Dante Kalise , Andrés A. Peters

The problem of distributed controller synthesis for formation control of multi-agent systems is considered. The agents (single integrators) communicate over a communication graph and a decentralized linear feedback structure is assumed. One…

Optimization and Control · Mathematics 2013-05-17 Ameer K. Mulla , Rachel K. Kalaimani , Debraj Chakraborty , Madhu N. Belur

This paper studies the problem of controlling a multi-robot system to achieve a polygon formation in a self-organized manner. Different from the typical formation control strategies where robots are steered to satisfy the predefined control…

Robotics · Computer Science 2023-04-04 Qingkai Yang , Fan Xiao , Jingshuo Lyu , Bo Zhou , Hao Fang

We introduce and develop the concept of dispersion formation control, bridging a gap between shape-assembly studies in physics and biology and formation control theory. In current formation control studies, the control objectives typically…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Jin Chen , Jesus Bautista Villar , Bayu Jayawardhana , Hector Garcia de Marina

This paper is concerned with a formation shaping problem for point agents in a two-dimensional space, where control avoids the possibility of reflection ambiguities. One solution for this type of problems was given first for three or four…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Toshiharu Sugie , Fei Tong , Brian D. O. Anderson , Zhiyong Sun

This paper proposes a port-Hamiltonian framework for angle-based formation stabilization and maneuvers using bearing and velocity measurements with an underlying triangulated Laman graph. The corresponding port-Hamiltonian controller is…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Ningbo Li , Pablo Borja , Arjan van der Schaft , Jacquelien M. A. Scherpen

In this report, we try to improve the performance of existing approaches for search operations in multi-robot context. We propose three novel algorithms that are using a triangular grid pattern, i.e., robots certainly go through the…

Robotics · Computer Science 2016-05-17 Ahmad Baranzadeh

In this paper, we study the problem of formation keeping of a network of strictly passive systems when very coarse information is exchanged. We assume that neighboring agents only know whether their relative position is larger or smaller…

Systems and Control · Computer Science 2013-08-01 Matin Jafarian , Claudio De Persis

This paper presents adaptive event-triggered formation control strategies for autonomous vehicles (AVs) subject to longitudinal and lateral motion uncertainties. The proposed framework explores various vehicular formations to enable safe…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Ziming Wang , Yihuai Zhang , Chenguang Zhao , Huan Yu

This manuscript considers the problem of ensuring stability and safety during formation control with distributed multi-agent systems in the presence of parametric uncertainty in the dynamics and limited communication. We propose an…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Jose A. Solano-Castellanos , Peter A. Fisher , Anuradha Annaswamy

Recently it has been reported that range-measurement inconsistency, or equivalently mismatches in prescribed inter-agent distances, may prevent the popular gradient controllers from guiding rigid formations of mobile agents to converge to…

Robotics · Computer Science 2016-08-26 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

In this paper, we study the emergence of circular formation for agents in cyclic pursuit. Each agent is a unicycle traveling at a fixed common forward speed. We first establish a necessary and sufficient condition for the existence of…

Optimization and Control · Mathematics 2026-01-14 Zhaozhan Yao , Yuhua Yao , Xiaoming Hu

This paper proposes a novel formation maneuver control method for both 2-D and 3-D space, which enables the formation to translate, scale, and rotate with arbitrary orientation. The core innovation is the novel design of weights in the…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Xinzhe Zhou , Xuyang Wang , Xiaoming Duan , Yuzhu Bai , Jianping He

We propose a geometric approach to distance-based formation control modeled on a minimum-norm lifting of Riemannian gradient descent in edge-space to node-space. This yields a unified family of controllers, including the classical gradient…

Optimization and Control · Mathematics 2025-12-09 Louis Theran , Daniel Zelazo , Jessica Sidman

Dimensionality reduction represents the process of generating a low dimensional representation of high dimensional data. Motivated by the formation control of mobile agents, we propose a nonlinear dynamical system for dimensionality…

Machine Learning · Computer Science 2025-01-17 Taeuk Jeong , Yoon Mo Jung , Euntack Lee