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Two different aspects of formation control of multiple agents subjected to linear transformation have been addressed in this paper. We consider a set of complex single integrator systems so that the dimension of the system reduces to half…

Systems and Control · Computer Science 2015-06-03 Soumic Sarkar , Indra Narayan Kar

Given an ensemble of autonomous agents and a task to achieve cooperatively, how much do the agents need to know about the state of the ensemble and about the task in order to achieve it? We introduce new methods to understand these aspects…

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

This paper examines stability properties of distance-based formation control when the underlying topology consists of a rigid graph and a flex node addition. It is shown that the desired equilibrium set is locally asymptotically stable but…

Optimization and Control · Mathematics 2017-06-06 Viet Hoang Pham , Minh Hoang Trinh , Hyo-Sung Ahn

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Tao He , Gangshan Jing

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

Formation control with the flocking approach is an efficient method that can reach the formation without determining the agent's position. This paper focuses on reaching the circular formation around the leader or target with a specific…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Seyed Mohammad Mahdi Seyed Sajadi , Hajar Atrianfar

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

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

In formation control, an ensemble of autonomous agents is required to stabilize at a given configuration in the plane, doing so while agents are allowed to observe only a subset of the ensemble. As such, formation control provides a rich…

Optimization and Control · Mathematics 2011-10-07 M. -A. Belabbas

Consensus control of multiagent systems arises in various robotic applications such as rendezvous and formation control. For example, to compute the control inputs of individual agents, the difference in the positions in aligned coordinate…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Zhonggang Li , Changheng Li , Raj Thilak Rajan

This paper introduces new structures called conic frameworks and their rigidity. They are composed by agents and a set of directed constraints between pairs of agents. When the structure cannot be flexed while preserving the constraints, it…

Combinatorics · Mathematics 2022-07-08 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François Da Rocha

We study formation control problems. Our approach is to let a group of systems maximize their pairwise distances whilst bringing them all to a given submanifold, determining the shape of the formation. The algorithm we propose allows to…

Optimization and Control · Mathematics 2016-10-26 Jan Maximilian Montenbruck , Daniel Zelazo , Frank Allgöwer

This paper presents thorough mathematical modeling, control law development, and simulation of virtual structure formations which are inspired by the characteristics of rigid bodies. The stable constraint forces that establish the rigidity…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Suguru Sato , Kamesh Subbarao

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

This paper discusses generalized weak rigidity theory, and aims to apply the theory to formation control problems with a gradient flow law. The generalized weak rigidity theory is utilized in order that desired formations are characterized…

Systems and Control · Computer Science 2020-04-28 Seong-Ho Kwon , Hyo-Sung Ahn

This paper proposes a methodology to stabilize relative equilibria in a model of identical, steered particles moving in three-dimensional Euclidean space. Exploiting the Lie group structure of the resulting dynamical system, the…

Optimization and Control · Mathematics 2008-06-23 Luca Scardovi , Naomi Leonard , Rodolphe Sepulchre

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

In this paper, event-triggered controllers and corresponding algorithms are proposed to establish the formation with connectivity preservation for multi-agent systems. Each agent needs to update its control input and to broadcast this…

Systems and Control · Computer Science 2019-04-15 Xinlei Yi , Jieqiang Wei , Dimos V. Dimarogonas , Karl H. Johansson

Recently it has been reported that biased range-measurements among neighboring agents in the gradient distance-based formation control can lead to predictable collective motion. In this paper we take advantage of this effect and by…

Systems and Control · Computer Science 2016-09-26 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

The movement of cooperative robots in a densely cluttered environment may not be possible if the formation type is invariant. Hence, we investigate a new method for time-varying formation control for a group of heterogeneous autonomous…

Multiagent Systems · Computer Science 2021-12-01 Vu Phi Tran , Matthew Garratt , Ian R. Petersen