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This paper investigates the stability of distance-based \textit{flexible} undirected formations in the plane. Without rigidity, there exists a set of connected shapes for given distance constraints, which is called the ambit. We show that a…

Systems and Control · Computer Science 2018-08-15 Hector Garcia de Marina , Zhiyong Sun , Shaoshuai Mou

Self-navigation in non-coordinating crowded environments is formidably challenging within multi-agent systems consisting of non-holonomic robots operating through local sensing. Our primary objective is the development of a novel, rapid,…

Robotics · Computer Science 2024-01-18 Veejay Karthik J , Leena Vachhani

Currently, the general aim of flocking and formation control laws for multi-agent systems is to form and maintain a rigid configuration, such as, the alpha-lattices in flocking control methods, where the desired distance between each pair…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Tinghua Li , Bayu Jayawardhana

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

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

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, the recent developments on distributed coordination control, especially the consensus and formation control, are summarized with the graph theory playing a central role, in order to present a cohesive overview of the…

Multiagent Systems · Computer Science 2015-05-12 Xiangke Wang , Xun Li , Yirui Cong , Zhiwen Zeng , Zhiqiang Zheng

In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

Optimization and Control · Mathematics 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

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

The safe control of multi-robot swarms is a challenging and active field of research, where common goals include maintaining group cohesion while simultaneously avoiding obstacles and inter-agent collision. Building off our previously…

Optimization and Control · Mathematics 2024-04-03 Brooks A. Butler , Chi Ho Leung , Philip E. Paré

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

Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain…

Optimization and Control · Mathematics 2023-08-16 Alexander Zuyev , Julia Kalosha

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

In this paper we consider the problem of a multi-agent system achieving a formation in the presence of misbehaving or adversarial agents. We introduce a novel continuous time resilient controller to guarantee that normally behaving agents…

Systems and Control · Computer Science 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

This paper considers a novel problem of how to choose an appropriate geometry for a group of agents with only shape constraints but with a flexible scale. Instead of assigning the formation system with a specific geometry, here the only…

Systems and Control · Computer Science 2015-03-18 Huang Huang , Changbin Yu , Qinghe Wu

This paper investigates the synthesis of controllers for displacement-based formation control in the presence of bounded disturbances, specifically focusing on uncertainties originating from measurement noise. While the literature…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Vlad-Matei Angheluţă , Bogdan Gheorghe , Daniel Ioan , Ionela Prodan , Florin Stoican

This paper establishes a unified element-based framework for formation control by introducing the concept of the deformation gradient from continuum mechanics. Unlike traditional methods that rely on geometric constraints defined on graph…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Kun Cao , Lihua Xie

In this paper, we present the design and implementation of a robust motion formation distributed control algorithm for a team of mobile robots. The primary task for the team is to form a geometric shape, which can be freely translated and…

Robotics · Computer Science 2018-09-21 Hector Garcia de Marina , Johan Siemonsma , Bayu Jayawardhana , Ming Cao

Comparing with traditional fixed formation for a group of dynamical systems, time-varying formation can produce the following benefits: i) covering the greater part of complex environments; ii) collision avoidance. This paper studies the…

Systems and Control · Computer Science 2016-07-27 Ming-Feng Ge , Zhi-Hong Guan , Chao Yang , Tao Li , Yan-Wu Wang

The paradigmatic formation control problem of steering a multi-agent system towards a balanced circular formation has been the subject of extensive studies in the control engineering community. Indeed, this is due to the fact that it shares…

Systems and Control · Computer Science 2019-03-27 Pietro DeLellis , Franco Garofalo , Francesco Lo Iudice