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We consider the problem of distributed formation control of a large number of vehicles. An individual vehicle in the formation is assumed to be a fully actuated point mass. A distributed control law is examined: the control action on an…

Adaptation and Self-Organizing Systems · Physics 2016-11-17 He Hao , Prabir Barooah , Prashant G. Mehta

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

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

Bearing-based distributed formation control is attractive because it can be implemented using vision-based measurements to achieve a desired formation. Gradient-descent-based controllers using bearing measurements have been shown to have…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Zili Wang , Sean B. Andersson , Roberto Tron

Angle-constrained formation control has attracted much attention from control community due to the advantage that inter-edge angles are invariant under uniform translations, rotations, and scalings of the whole formation. However, almost…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Kun Li , Zhixi Shen , Gangshan Jing , Yongduan Song

Most rigid formation controllers reported in the literature aim to only stabilize a rigid formation shape, while the formation orientation is not controlled. This paper studies the problem of controlling rigid formations with prescribed…

Systems and Control · Computer Science 2016-06-13 Zhiyong Sun , Myoung-Chul Park , Brian D. O. Anderson , Hyo-Sung Ahn

From serving a cup of coffee to positioning mechanical parts during assembly, stable object placement is a crucial skill for future robots. It becomes particularly challenging under geometric uncertainties, e.g., when the object pose or…

Robotics · Computer Science 2025-12-02 Linfeng Li , Gang Yang , Lin Shao , David Hsu

This paper addresses the challenges of distributed formation control in multiple mobile robots, introducing a novel approach that enhances real-world practicability. We first introduce a distributed estimator using a variable structure and…

Robotics · Computer Science 2024-03-26 Zhe Xu , Tao Yan , Simon X. Yang , S. Andrew Gadsden , Mohammad Biglarbegian

In this paper, we propose a novel and distributed formation control method for autonomous robots to follow the desired formation while tracking a moving target in dynamic environments. In our approach, the desired formations, which include…

Robotics · Computer Science 2017-05-08 Anh-Duc Dang , Hung M. La , Thang Nguyen , Joachim Horn

We study the stability and robustness of large-scale vehicular formations, in which each vehicle is modeled as a double-integrator. Two types of information graphs are considered: directed trees and undirected graphs. We prove stability of…

Adaptation and Self-Organizing Systems · Physics 2011-08-09 He Hao , Prabir Barooah

This paper studies decentralized formation control of multiple vehicles when each vehicle can only measure the local bearings of their neighbors by using bearing-only sensors. Since the inter-vehicle distance cannot be measured, the target…

Systems and Control · Computer Science 2013-03-12 Shiyu Zhao , Feng Lin , Kemao Peng , Ben M. Chen , Tong H. Lee

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

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

Using dynamic models of tensegrity structures, we derive provable, distributed control laws for stabilizing and changing the shape of a formation of vehicles in the plane. Tensegrity models define the desired, controlled, multi-vehicle…

Optimization and Control · Mathematics 2009-02-24 Benjamin Nabet , Naomi Ehrich Leonard

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

Multi-robot formation control has various applications in domains such as vehicle troops, platoons, payload transportation, and surveillance. Maintaining formation in a vehicle platoon requires designing a suitable control scheme that can…

Robotics · Computer Science 2026-03-17 Rishabh Dev Yadav

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 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

Quadrupedal robots exhibit remarkable adaptability in unstructured environments, making them well-suited for formation control in real-world applications. However, keeping stable formations while ensuring collision-free navigation presents…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Weishu Zhan , Zheng Liang , Hongyu Song , Wei Pan

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