English
Related papers

Related papers: Geometric Analysis of the Formation Problem for Au…

200 papers

This work proposes a safety-critical local reactive controller that enables the robot to navigate in unknown and cluttered environments. In particular, the trajectory tracking task is formulated as a constrained polynomial optimization…

Robotics · Computer Science 2023-10-10 Yulin Li , Xindong Tang , Kai Chen , Chunxin Zheng , Haichao Liu , Jun Ma

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

Robots exhibit a rich variety of symmetries arising from their mechanical structure and the properties of their tasks. Although many robotics problems exhibit several symmetries simultaneously, existing approaches typically treat them in…

Robotics · Computer Science 2026-05-22 Loizos Hadjiloizou , Rodrigo Pérez-Dattari , Noémie Jaquier

We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand how spatially localized deformation solutions emerge in…

Pattern Formation and Solitons · Physics 2020-09-03 Shrinidhi S. Pandurangi , Ryan S. Elliott , Timothy J. Healey , Nicolas Triantafyllidis

This paper addresses the problem of Uniform Circle Formation by n > 1 transparent disc robots (fat robots). The robots execute repetitive cycles of the states look-compute-move in semi-synchronous manner where a set of robots execute the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-27 Moumita Mondal , Sruti Gan Chaudhuri

In this paper we consider the problem of global asymptotic stabilization with prescribed local behavior. We show that this problem can be formulated in terms of control Lyapunov functions. Moreover, we show that if the local control law has…

Optimization and Control · Mathematics 2015-08-12 Sofiane Benachour , Humberto Stein Shiromoto , Vincent Andrieu

This paper presents an autonomous parking control strategy for an active-joint center-articulated mobile robot. We first derive a kinematic model of the robot, then propose a control law to stabilize the vehicle's configuration within a…

Robotics · Computer Science 2025-06-04 Mehdi Delrobaei , Kenneth McIsaac

This article presents an in-depth review of the topic of path following for autonomous robotic vehicles, with a specific focus on vehicle motion in two dimensional space (2D). From a control system standpoint, path following can be…

This paper presents a unified approach to realize versatile distributed maneuvering with generalized formations. Specifically, we decompose the robots' maneuvers into two independent components, i.e., interception and enclosing, which are…

Robotics · Computer Science 2025-05-12 Yang Lu , Sha Luo , Pengming Zhu , Weijia Yao , Hector Garcia de Marina , Xinglong Zhang , Xin Xu

Stationary differential systems with polynomial right sides are considered. Necessary and sufficient conditions are formulated when a given domain is a domain of asymptotic stability and the origin of coordinates is either focus or center.…

Optimization and Control · Mathematics 2013-07-23 Igor Prounikov

In-Orbit Servicing and Active Debris Removal require advanced robotic capabilities for capturing and detumbling uncooperative targets. This work presents a hierarchical control framework for autonomous robotic capture of tumbling objects in…

Robotics · Computer Science 2025-10-07 Pietro Bruschi

Learning stable dynamical systems from data is crucial for safe and reliable robot motion planning and control. However, extending stability guarantees to trajectories defined on Riemannian manifolds poses significant challenges due to the…

Distributed model predictive control (DMPC) is a flexible and scalable feedback control method applicable to a wide range of systems. While the stability analysis of DMPC is quite well understood, there exist only limited implementation…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Gösta Stomberg , Henrik Ebel , Timm Faulwasser , Peter Eberhard

This paper presents a deterministic algorithm for forming a given asymmetric pattern in finite time by a set of autonomous, homogeneous, oblivious mobile robots under the CORDA model. The robots are represented as points on the 2D plane.…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-12 Sruti Gan Chaudhuri , Swapnil Ghike , Shrainik Jain , Krishnendu Mukhopadhyaya

We study formation control problems. Our approach is to let a group of systems maximize their pairwise distances whilst bringing them all to a given submanifold, determining the shape of the formation. The algorithm we propose allows to…

Optimization and Control · Mathematics 2016-10-26 Jan Maximilian Montenbruck , Daniel Zelazo , Frank Allgöwer

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

This paper tackles the distributed leader-follower (L-F) control problem for heterogeneous mobile robots in unknown environments requiring obstacle avoidance, inter-robot collision avoidance, and reliable robot communications. To prevent an…

Multiagent Systems · Computer Science 2018-11-16 Vu Phi Tran , Matthew Garratt , Ian R. Petersen

This paper addresses the optimal time-invariant formation tracking problem with the aim of providing a distributed solution for multi-agent systems with second-order integrator dynamics. In the literature, most of the results related to…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Marco Fabris , Giulio Fattore , Angelo Cenedese

We consider a single non-holonomic Dubins-like robot traveling with a constant longitudinal speed in an a priori unknown and unsteady planar environment. The robot should detect, locate, and track the boundary of a dynamic environmental…

Optimization and Control · Mathematics 2015-04-09 Alexey S. Matveev , Michael C. Hoy , Kirill S. Ovchinnikov , Alexander M. Anisimov , Andrey V. Savkin

This paper considers the problem of localization and circumnavigation of an unknown stationary target by a group of autonomous agents using only local bearing measurements. We assume that no direct communication or exchange of information…

Optimization and Control · Mathematics 2023-12-07 Donglin Sui , Mohammad Deghat