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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

This paper addresses formation control of reduced attitudes in which a continuous control protocol is proposed for achieving and stabilizing all regular polyhedra (also known as Platonic solids) under a unified framework. The protocol…

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

Geometric pattern formation is crucial in many tasks involving large-scale multi-agent systems. Examples include mobile agents performing surveillance, swarm of drones or robots, or smart transportation systems. Currently, most control…

Multiagent Systems · Computer Science 2023-10-04 Andrea Giusti , Gian Carlo Maffettone , Davide Fiore , Marco Coraggio , Mario di Bernardo

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

We design a reduced attitude controller for reorienting the spin axis of a gyroscope in a geometric control framework. The proposed controller preserves the inherent gyroscopic stability associated with a spinning axis-symmetric rigid body.…

Systems and Control · Electrical Eng. & Systems 2020-12-11 Nidhish Raj , Leonardo J. Colombo , Ashutosh Simha

In this letter, we investigate the formation control problem of mobile robots moving in the plane where, instead of assuming robots to be simple points, each robot is assumed to have the form of a disk with equal radius. Based on interior…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

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

Inspired by the concept of network algebraic connectivity, we adopt an extended notion named rigidity preservation index to characterize the rigidity property for a formation framework. A gradient based controller is proposed to ensure the…

Optimization and Control · Mathematics 2013-09-20 Zhiyong Sun , Changbin Yu , Brian D. O. Anderson

In this paper, we investigate a decentralized formation control algorithm for an undirected formation control model. Unlike other formation control problems where only the shape of a configuration counts, we emphasize here also its…

Systems and Control · Computer Science 2015-06-01 Xudong Chen

This paper addresses the problem of end-effector formation control for manipulators that are subjected to external disturbances: input disturbance torques and disturbance forces at each end-effector. The disturbances are assumed to be…

Robotics · Computer Science 2021-03-29 Haiwen Wu , Bayu Jayawardhana , Hector Garcia de Marina , Dabo Xu

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

This paper considers the distributed leader-follower stress-matrix-based affine formation control problem of discrete-time linear multi-agent systems with static and dynamic leaders. In leader-follower multi-agent formation control, the aim…

Robotics · Computer Science 2024-01-11 Okechi Onuoha , Suleiman Kurawa , Zezhi Tang , Yi Dong

This paper studies the problem of stabilizing a leader-follower formation specified by a set of bearing constraints and being disturbed by some unknown uniformly bounded disturbance{s}. A set of leaders are positioned at their desired…

Systems and Control · Electrical Eng. & Systems 2024-11-28 Thanh Truong Nguyen , Dung Van Vu , Tuynh Van Pham , Minh Hoang Trinh

Autonomous shape and structure formation is an important problem in the domain of large-scale multi-agent systems. In this paper, we propose a 3D structure representation method and a distributed structure formation strategy where settled…

Multiagent Systems · Computer Science 2023-08-01 Tamzidul Mina , Wonse Jo , Shyam S. Kannan , Byung-Cheol Min

Continuum deformation is a leader-follower multiagent cooperative control approach. Previous work showed a desired continuum deformation can be uniquely defined based on trajectories of d +1 leaders in a d-dimensional motion space and…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Hossein Rastgoftar , Jean-Baptiste Jeannin , Ella Atkins

We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formalization of distributed controllers as (generally nonlinear)…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Max Emerick , Saroj Prasad Chhatoi , Bassam Bamieh

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 investigates a distributed formation tracking control law for large-scale networks of mechanical systems. In particular, the formation network is represented by a directed communication graph with leaders and followers, where…

Systems and Control · Electrical Eng. & Systems 2022-03-18 N. Javanmardi , P. Borja , M. J. Yazdanpanah , J. M. A. Scherpen

This work deals with the problem of stabilizing a multi-agent rigid formation on a general class of planar curves. Namely, we seek to stabilize an equilateral polygonal formation on closed planar differentiable curves after a path sweep.…

Robotics · Computer Science 2025-12-12 Mohamed Elobaid , Shinkyu Park , Eric Feron

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
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