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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

Formation control of autonomous agents can be seen as a physical system of individuals interacting with local potentials, and whose evolution can be described by a Lagrangian function. In this paper, we construct and implement forced…

Systems and Control · Electrical Eng. & Systems 2020-10-02 Leonardo Colombo , Hector Garcia de Marina

This manuscript considers the problem of ensuring stability and safety during formation control with distributed multi-agent systems in the presence of parametric uncertainty in the dynamics and limited communication. We propose an…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Jose A. Solano-Castellanos , Peter A. Fisher , Anuradha Annaswamy

A decentralized switched controller is developed for dynamic agents to perform global formation configuration convergence while maintaining network connectivity and avoiding collision within agents and between stationary obstacles, using…

Systems and Control · Computer Science 2013-10-02 Teng-Hu Cheng , Zhen Kan , Joel A. Rosenfeld , Warren E. Dixon

This paper investigated the distributed leader follower formation control problem for multiple differentially driven mobile robots. A distributed estimator is first introduced and it only requires the state information from each follower…

Robotics · Computer Science 2023-05-04 Zhe Xu , Tao Yan , Simon X. Yang , S. Andrew Gadsden

Swarm robotic systems utilize collective behaviour to achieve goals that might be too complex for a lone entity, but become attainable with localized communication and collective decision making. In this paper, a behaviour-based distributed…

Multiagent Systems · Computer Science 2023-09-06 Akshaya C S , Karthik Soma , Visweswaran B , Aditya Ravichander , Venkata Nagarjun PM

Concerning general multi-agent systems with limited communication, this paper proposes distributed formation control protocols under adaptive event-triggered schemes to operate affine transformations of nominal formations. To accommodate…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Chenjun Liu , Jason J. R. Liu , Zhan Shu , James Lam

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

The problem of distributed formation control of nonholonomic mobile robots is addressed in this paper, in which the robots are designed to track a formation. Collision avoidance among agents is guaranteed using a control law based on a…

Robotics · Computer Science 2017-05-11 Thang Nguyen , Hung M. La

Formation control methods of connected and automated vehicles have been proposed to smoothly switch the structure of vehicular formations in different scenarios. In the previous research, simulations are often conducted to verify the…

Systems and Control · Electrical Eng. & Systems 2021-12-02 Mengchi Cai , Qing Xu , Chunying Yang , Jianghong Dong , Chaoyi Chen , Jiawei Wang , Jianqiang Wang , Keqiang Li

This paper studies the problem of multi-agent formation maneuver control where both of the centroid and scale of a formation are required to track given velocity references while maintaining the formation shape. Unlike the conventional…

Systems and Control · Computer Science 2015-08-04 Shiyu Zhao , Daniel Zelazo

This paper considers a formation shape control problem for point agents in a two-dimensional ambient space, where the control is distributed, is based on achieving desired distances between nominated agent pairs, and avoids the possibility…

Systems and Control · Computer Science 2018-08-02 Toshiharu Sugie , Brian D. O. Anderson , Zhiyong Sun , Huichao Dong

Manipulating deformable and fragile objects remains a fundamental challenge in robotics due to complex contact dynamics and strict requirements on object integrity. Existing approaches typically optimize either end-effector design or…

Robotics · Computer Science 2026-02-23 Kei Ikemura , Yifei Dong , Florian T. Pokorny

This paper presents a novel planning method that achieves navigation of multi-robot formations in cluttered environments, while maintaining the formation throughout the robots motion. The method utilises a decentralised approach to find…

Robotics · Computer Science 2023-07-17 Jeppe Heini Mikkelsen , Matteo Fumagalli

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 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 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

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

This work presents a novel framework for the formation control of multiple autonomous ground vehicles in an on-road environment. Unique challenges of this problem lie in 1) the design of collision avoidance strategies with obstacles and…

Robotics · Computer Science 2016-05-03 Xiangjun Qian , Florent Altché , Arnaud de La Fortelle , Fabien Moutarde

This work addresses the practical problem of distributed formation tracking control of a group of quadrotor vehicles in a relaxed sensing graph topology with a very limited sensor set, where only one leader vehicle can access the global…

Systems and Control · Electrical Eng. & Systems 2026-01-21 S. Doodeman , Z. Tang , M. Jacinto , R. Cunha , C. Silvestre