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In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

Optimization and Control · Mathematics 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

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

We consider the localization problem between agents while they run a formation control algorithm. These algorithms typically demand from the agents the information about their relative positions with respect to their neighbors. We assume…

Systems and Control · Electrical Eng. & Systems 2019-09-20 Leonardo Colombo , Hector Garcia de Marina , María Barbero Liñán , David Martín de Diego

This paper provides a solution to the problem of safe region formation control with reference velocity tracking for a second-order multi-agent system without velocity measurements. Safe region formation control is a control problem where…

Multiagent Systems · Computer Science 2023-10-17 Ayush Rai , Shaoshuai Mou

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

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

Inspired by biological systems, we introduce a general framework for quasi-static shape control of human-scale structures under slowly varying external actions or requirements. In this setting, shape control aims to traverse the stable…

Soft Condensed Matter · Physics 2025-09-17 Eszter Fehér , András Árpád Sipos , Péter Várkonyi

This paper studies the time-varying bearing-based tracking of leader-follower formations. The desired constraints between agents are specified by bearing vectors, and several leaders are moving with a bounded reference velocity. Each…

Multiagent Systems · Computer Science 2021-10-12 Dung Van Vu , Minh Hoang Trinh

This paper addresses forward motion control for trajectory tracking and mobile formation coordination for a group of non-holonomic vehicles on SE(2). Firstly, by constructing an intermediate attitude variable which involves vehicles'…

Systems and Control · Computer Science 2019-03-01 Xiuhui Peng , Zhiyong Sun , Kexin Guo , Zhiyong Geng

Rigidity of the interaction graph is a fundamental condition for achieving the desired formation which can be defined in terms of distance or bearing constraints between agents. In this paper, for reaching a unique formation with the same…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Sara Mansourinasab , Mahdi Sojoodi , Seyed Reza Moghadasi

In this paper, we present the design and implementation of a robust motion formation distributed control algorithm for a team of mobile robots. The primary task for the team is to form a geometric shape, which can be freely translated and…

Robotics · Computer Science 2018-09-21 Hector Garcia de Marina , Johan Siemonsma , Bayu Jayawardhana , Ming Cao

In this paper, we present a distributed optimal multiagent control scheme for quadrotor formation tracking under localization errors. Our control architecture is based on a leader-follower approach, where a single leader quadrotor tracks a…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Clinton Enwerem , John Baras , Danilo Romero

In this paper, the problem of reaching formation for a network of rigid agents over a special orthogonal group is investigated by considering bearing-only constraints as the desired formation. Each agent is able to gather the measurements…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Sara Mansourinasab , Mahdi Sojoodi , Seyed Reza Moghadasi

In the formation control problem for autonomous robots a distributed control law steers the robots to the desired target formation. A local stability result of the target formation can be derived by methods of linearization and center…

Optimization and Control · Mathematics 2010-01-26 Florian Dorfler , Bruce Francis

Direct mesh editing and deformation are key components in the geometric modeling and animation pipeline. Mesh editing methods are typically framed as optimization problems combining user-specified vertex constraints with a regularizer that…

Graphics · Computer Science 2024-08-05 Tianhao Xie , Eugene Belilovsky , Sudhir Mudur , Tiberiu Popa

In this paper, we present a novel decentralized controller to drive multiple unmanned aerial vehicles (UAVs) into a symmetric formation of regular polygon shape surrounding a mobile target. The proposed controller works for time-varying…

Systems and Control · Computer Science 2017-09-06 Rajdeep Dutta , Chunjiang Qian , Liang Sun , Daniel Pack

This paper addresses the problem of end-effector formation control for a mixed group of two-link manipulators moving in a horizontal plane that comprises of fully-actuated manipulators and underactuated manipulators with only the second…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Zhiyu Peng , Bayu Jayawardhana , Xin Xin

Static structured control refers to the task of designing a state-feedback controller such that the control gain satisfies a subspace constraint. Structured control has applications in control of communication-inhibited dynamical systems,…

Optimization and Control · Mathematics 2024-11-19 Jared Miller , Jaap Eising , Florian Dörfler , Roy S. Smith

This letter studies a distributed collision avoidance control problem for a group of rigid bodies on a sphere. A rigid body network, consisting of multiple rigid bodies constrained to a spherical surface and an interconnection topology, is…

Systems and Control · Electrical Eng. & Systems 2020-06-24 Tatsuya Ibuki , Sean Wilson , Aaron D. Ames , Magnus Egerstedt

We consider the constrained stabilization problem of second-order systems evolving on the n-sphere. We propose a control strategy with a constraint proximity-based dynamic damping mechanism that ensures safe and almost global asymptotic…

Optimization and Control · Mathematics 2026-04-15 Mayur Sawant , Abdelhamid Tayebi
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