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This paper presents a geometric input-output analysis of hidden modes in distance-based formation control. We study the linearized dynamics under a gradient control law to characterize the system's structural limitations and their dynamic…

Optimization and Control · Mathematics 2025-11-18 Solomon Goldgraber Casspi , Daniel Zelazo

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 studies distributed maneuver control of multi-agent formations in arbitrary dimensions. The objective is to control the translation and scale of the formation while maintaining the desired formation pattern. Unlike conventional…

Systems and Control · Computer Science 2015-12-15 Shiyu Zhao , Daniel Zelazo

This paper presents global tracking strategies for the attitude dynamics of a rigid body. It is well known that global attractivity is prohibited for continuous attitude control systems on the special orthogonal group. Such topological…

Optimization and Control · Mathematics 2017-08-28 Taeyoung Lee , Dong-Eui Chang , Yongsoon Eun

We consider the control problem where, given an orthonormal tangent frame in the hyperbolic plane or three dimensional hyperbolic space, one is allowed to transport the frame a fixed distance $r > 0$ along the geodesic in direction of the…

Geometric Topology · Mathematics 2020-09-08 Ernesto Garcia , Pablo Lessa

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

Different from most of the formation strategies where robots require unique labels to identify topological neighbors to satisfy the predefined shape constraints, we here study the problem of identity-less distributed shape formation in…

Robotics · Computer Science 2025-04-09 Guibin Sun , Yang Xu , Kexin Liu , Jinhu Lü

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

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 proposes a novel 3D graphical representation for impedance control, called the impedance space, to foster the analysis of the dynamic behavior of robotic compliant controllers. The method overcomes limitations of existing 2D…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Leonardo F. Dos Santos , Cícero Zanette , Elisa G. Vergamini , Lucca Maitan , Thiago Boaventura

We present a distributed control strategy for a team of quadrotors to autonomously achieve a desired 3D formation. Our approach is based on local relative position measurements and does not require global position information or…

Robotics · Computer Science 2018-09-05 Kaveh Fathian , Sleiman Safaoui , Tyler H. Summers , Nicholas R. Gans

This letter presents two bearing-constrained formation tracking control protocols for multiple nonholonomic agents based respectively on the bearing vectors and displacements between the agents. The desired formation pattern of the system…

Optimization and Control · Mathematics 2022-02-15 Quoc Van Tran , Jinwhan Kim

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

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 presents an angle-based approach for distributed formation shape stabilization of multi-agent systems in the plane. We develop an angle rigidity theory to study whether a planar framework can be determined by angles between…

Systems and Control · Computer Science 2019-03-05 Gangshan Jing , Guofeng Zhang , Heung Wing Joseph Lee , Long Wang

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

This paper presents a nonlinear integrated guidance and control (IGC) approach for flexible leader-follower formation flight of fixed-wing unmanned aerial vehicles (UAVs) while accounting for high-fidelity aerodynamics and thrust dynamics.…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

We address the optimal dynamic formation problem in mobile leader-follower networks where an optimal formation is generated to maximize a given objective function while continuously preserving connectivity. We show that in a convex mission…

Optimization and Control · Mathematics 2015-08-20 Xinmiao Sun , Christos G. Cassandras

This paper proposes a novel constructive barrier feedback for reactive collision avoidance between two agents. It incorporates this feature in a formation tracking control strategy for a group of 2nd-order dynamic robots defined in…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Zhiqi Tang , Rita Cunha , Tarek Hamel , Carlos Silvestre

This paper treats the problem of the merging of formations, where the underlying model of a formation is graphical. We first analyze the rigidity and persistence of meta-formations, which are formations obtained by connecting several rigid…

Multiagent Systems · Computer Science 2007-10-16 Julien M. Hendrickx , Changbin Yu , Baris Fidan , Brian D. O. Anderson