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We study the formation control problem for a group of mobile agents in a plane, in which each agent is modeled as a kinematic point and can only use the local measurements in its local frame. The agents are required to maintain a geometric…

Optimization and Control · Mathematics 2019-09-13 Chen Wang , Shuai Li , Weiguo Xia , Jinan Sun , Guangming Xie

In this paper, we propose a distance-based formation control strategy that can enable four mobile agents, which are modelled by a group of single-integrators, to achieve the desired formation shape specified by using six consistent…

Systems and Control · Computer Science 2016-06-07 Myoung-Chul Park , Zhiyong Sun , Minh Hoang Trinh , Brian D. O. Anderson , Hyo-Sung Ahn

In this paper, we take a first step towards generalizing a recently proposed method for dealing with the problem of convergence to incorrect equilibrium points of distance-based formation controllers. Specifically, we introduce a distance…

Multiagent Systems · Computer Science 2024-12-20 Tairan Liu , Marcio de Queiroz , Pengpeng Zhang , Milad Khaledyan

This paper studies distributed formation control of multiple agents in the plane using bearing-only measurements. It is assumed that each agent only measures the local bearings of their neighbor agents. The target formation considered in…

Systems and Control · Computer Science 2012-10-31 Shiyu Zhao , Feng Lin , Kemao Peng , Ben M. Chen , Tong H. Lee

This paper addresses the problem of distance- and orientation-based formation control of a class of second-order nonlinear multi-agent systems in 3D space, under static and undirected communication topologies. More specifically, we design a…

Systems and Control · Computer Science 2017-04-07 Alexandros Nikou , Christos K. Verginis , Dimos V. Dimarogonas

This paper presents a novel control protocol for robust distance-based formation control with prescribed performance in which agents are subjected to unknown external disturbances. Connectivity maintenance and collision avoidance among…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Farhad Mehdifar , Charalampos P. Bechlioulis , Farzad Hashemzadeh , Mahdi Baradarannia

We study the problem of distance-based formation shape control for autonomous agents with double-integrator dynamics. Our considerations are focused on exponential stability properties. For second-order formation systems under the standard…

Dynamical Systems · Mathematics 2019-09-12 Raik Suttner , Zhiyong Sun

Formation control deals with the design of decentralized control laws that stabilize agents at prescribed distances from each other. We call any configuration that satisfies the inter-agent distance conditions a target configuration. It is…

Systems and Control · Computer Science 2015-03-30 Xudong Chen , M. -A. Belabbas , Tamer Basar

In this letter, we study the case of autonomous agents which are required to move to some new position based solely on the distance measured from predetermined reference points, or anchors. A novel approach, referred to as…

Systems and Control · Electrical Eng. & Systems 2024-08-15 Michael Napoli , Roberto Tron

Unlike the case with identical neighboring agents whose actions are mirrored, the problem of distributed formation control design with heterogeneous sensing is not straightforward. In this paper, we consider the problem of distributed…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Jin Chen , Bayu Jayawardhana , Hector Garcia de Marina

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

By an undirected rigid formation of mobile autonomous agents is meant a formation based on graph rigidity in which each pair of "neighboring" agents is responsible for maintaining a prescribed target distance between them. In a recent paper…

Systems and Control · Computer Science 2015-03-04 Shaoshuai Mou , A. Stephen Morse , Mohamed Ali Belabbas , Zhiyong Sun , Brian D. O. Anderson

This paper studies a leader-follower formation tracking problem where the leaders are moving at the same unknown bounded velocity. A distance-based control law is proposed for follower agents to maintain the desired distances in the…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Dung Van Vu , Minh Hoang Trinh , Hyo-Sung Ahn

Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of the agents a target configuration if it satisfies the…

Dynamical Systems · Mathematics 2016-05-23 Xudong Chen , M. -A. Belabbas , Tamer Başar

This paper studies the problem of integrated distributed network localization and formation maneuver control. We develop an integrated relative-measurement-based scheme, which only uses relative positions, distances, bearings, angles,…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Xu Fang , Lihua Xie , Xiaolei Li

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

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 presents a novel control protocol for distance and orientation formation control of rigid bodies, whose sensing graph is a static and undirected tree, in the special Euclidean group SE(3). The proposed control laws are…

Systems and Control · Computer Science 2018-08-30 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

In this paper, we propose a novel approach to the problem of augmenting distance-based formation controllers with a secondary constraint for the purpose of preventing 3D formation ambiguities. Specifically, we introduce three controlled…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Tairan Liu , Marcio de Queiroz

This paper presents an angle-based approach for distributed formation shape stabilization of multi-agent systems in the plane. We develop an angle rigidity theory to study whether a planar framework can be determined by angles between…

Systems and Control · Computer Science 2019-03-05 Gangshan Jing , Guofeng Zhang , Heung Wing Joseph Lee , Long Wang
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