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In this paper, we present a novel 3D formation control scheme for directed graphs in a leader-follower configuration, achieving (almost) global convergence to the desired shape. Specifically, we introduce three controlled variables…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Omid Mirzaeedodangeh , Farhad Mehdifar , Dimos V. Dimarogonas

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 addresses the problem of position- and orientation-based formation control of a class of second-order nonlinear multi-agent systems in a $3$D workspace with obstacles. More specifically, we design a decentralized control protocol…

Systems and Control · Computer Science 2017-12-07 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

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

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

Angle-constrained formation control has attracted much attention from control community due to the advantage that inter-edge angles are invariant under uniform translations, rotations, and scalings of the whole formation. However, almost…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Kun Li , Zhixi Shen , Gangshan Jing , Yongduan Song

Most rigid formation controllers reported in the literature aim to only stabilize a rigid formation shape, while the formation orientation is not controlled. This paper studies the problem of controlling rigid formations with prescribed…

Systems and Control · Computer Science 2016-06-13 Zhiyong Sun , Myoung-Chul Park , Brian D. O. Anderson , Hyo-Sung Ahn

In this paper, formation control for reduced attitude is studied, in which both stationary and rotating regular tetrahedron formation can be achieved and are asymptotically stable under a large family of gain functions in the control.…

Optimization and Control · Mathematics 2018-05-22 Silun Zhang , Wenjun Song , Fenghua He , Yiguang Hong , Xiaoming Hu

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

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

This paper studies the problem of distributed formation maneuver control of multi-agent systems via complex Laplacian. We will show how to change the translation, scaling, rotation, and also the shape of formation continuously by only…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Xu Fang , Lihua Xie

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

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

We study the problem of distance-based formation control in autonomous multi-agent systems in which only distance measurements are available. This means that the target formations as well as the sensed variables are both determined by…

Dynamical Systems · Mathematics 2018-06-28 Raik Suttner , Zhiyong Sun

In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with multiple agents corresponding to the nodes of a graph whose…

Optimization and Control · Mathematics 2011-01-20 M. -A. Belabbas

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 addresses the problem of bearing leader-follower formation control in three-dimensional space by exploring the persistence of excitation (PE) of the desired formation. Using only bearing and relative velocity measurements,…

Systems and Control · Electrical Eng. & Systems 2021-10-18 Zhiqi Tang , Rita Cunha , Tarek Hamel , Carlos Silvestre

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

In this paper, we develop a hybrid distance-angle rigidity theory that involves heterogeneous distances (or unsigned angles) and signed constraints for a framework in the 2-D and 3-D space. The new rigidity theory determines a (locally)…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Seong-Ho Kwon , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

This paper studies the integrated position and attitude control problem for multi-agent systems of 3D rigid bodies. While the state-of-the-art method in [Olfati-Saber and Murray, 2004] established the theoretical foundation for rigid-body…

Optimization and Control · Mathematics 2025-08-15 Chunfeng Cui , Liqun Qi , Hao Chen , Xiangke Wang
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