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In this work, we study an optimal control problem for a multi-agent system modeled by an undirected formation graph with nodes describing the kinematics of each agent, given by a left-invariant control system on a Lie group. The agents…

Optimization and Control · Mathematics 2020-11-26 Leonardo Colombo , Dimos Dimarogonas

Based on the practical scenario where collisions in formation control may lead to agent damage, this paper investigates the integrated problem of distance-based formation control and collision avoidance for multi-agent systems governed by…

Optimization and Control · Mathematics 2026-05-19 Jingyi Zhao , Yongxin Wu , Héctor García de Marina , Yuhu Wu , Yann Le Gorrec

In formation control, triangular formations consisting of three autonomous agents serve as a class of benchmarks that can be used to test and compare the performances of different controllers. We present an algorithm that combines the…

Systems and Control · Computer Science 2017-04-04 Hector Garcia de Marina , Zhiyong Sun , Ming Cao , Brian D. O. Anderson

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

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

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

This paper addresses the formation maneuver control problem of leader-follower multi-agent systems with high-order integrator dynamics. A distributed output feedback formation maneuver controller is proposed to achieve desired maneuvers so…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Xu Fang , Lihua Xie

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 problem of multi-agent formation control for target tracking is considered in this paper. The target is an irregular dynamic shape approximated by a circle with moving centre and varying radius. It is assumed that there are n agents and…

Optimization and Control · Mathematics 2018-09-25 Joana Fonseca , Jieqiang Wei , Karl H. Johansson , Tor Arne Johansen

This paper presents a distributed algorithm for controlling the deployment of a team of mobile agents in formations whose shapes can be characterized by a broad class of polygons, including regular ones, where each agent occupies a corner…

Systems and Control · Computer Science 2017-03-24 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

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

The problem of distributed controller synthesis for formation control of multi-agent systems is considered. The agents (single integrators) communicate over a communication graph and a decentralized linear feedback structure is assumed. One…

Optimization and Control · Mathematics 2013-05-17 Ameer K. Mulla , Rachel K. Kalaimani , Debraj Chakraborty , Madhu N. Belur

Recently it has been reported that range-measurement inconsistency, or equivalently mismatches in prescribed inter-agent distances, may prevent the popular gradient controllers from guiding rigid formations of mobile agents to converge to…

Robotics · Computer Science 2016-08-26 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

This letter studies the problem of cooperative nearest-neighbor control of multi-agent systems where each agent can only realize a finite set of control points. Under the assumption that the underlying graph representing the communication…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Muhammad Zaki Almuzakki , Bayu Jayawardhana

In this paper, we present a machine learning approach to move a group of robots in a formation. We model the problem as a multi-agent reinforcement learning problem. Our aim is to design a control policy for maintaining a desired formation…

Robotics · Computer Science 2020-01-15 Abhay Rawat , Kamalakar Karlapalem

Non-uniform scaling control of formation enables multi-agent systems to adjust their shape by scaling with different ratios along different coordinate axes, offering enhanced flexibility in complex environments. However, like most existing…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Tao He , Gangshan Jing

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

We show in this paper that a small subset of agents of a formation of n agents in Euclidean space can control the position and orientation of the entire formation. We consider here formations tasked with maintaining inter-agent distances at…

Dynamical Systems · Mathematics 2017-04-24 Xudong Chen , M. -A. Belabbas , Tamer Basar

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 brief proposes a distributed formation control strategy via matrix-weighted Laplacian that can achieve a similar formation in 2-D planar using inter-agent relative displacement measurement. Formation patterns that include translation,…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Zhipeng Fan , Yujie Xu , Mingyu Fu , Han Sun , Weiqiu Zhang , Heng Zhang