Distributed-Infrastructure Multi-Robot Routing using a Helmholtz-Hodge Decomposition

被引:0
|
作者
Kingston, Peter [1 ]
Egerstedt, Magnus [1 ]
机构
[1] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Using graphs and simplicial complexes as models for an environment containing a large number of agents, we provide distributed algorithms based on the Helmholtz-Hodge decomposition that, given desired flow rates on edges or across faces, produce incompressible approximations to the specified flows. These flows are then "lifted" to produce hybrid controllers for the agents, and a related algorithm is described that computes continuous streamfunctions over the environment, also in a distributed way.
引用
收藏
页码:5281 / 5286
页数:6
相关论文
共 50 条
  • [1] Meshless Helmholtz-Hodge Decomposition
    Petronetto, Fabiano
    Paiva, Afonso
    Lage, Marcos
    Tavares, Geovan
    Lopes, Helio
    Lewiner, Thomas
    IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2010, 16 (02) : 338 - 349
  • [2] CONSTRUCTION OF LYAPUNOV FUNCTIONS USING HELMHOLTZ-HODGE DECOMPOSITION
    Suda, Tomoharu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (05) : 2437 - 2454
  • [3] The Helmholtz-Hodge Decomposition-A Survey
    Bhatia, Harsh
    Norgard, Gregory
    Pascucci, Valerio
    Bremer, Peer-Timo
    IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2013, 19 (08) : 1386 - 1404
  • [4] Comments on the "Meshless Helmholtz-Hodge Decomposition"
    Bhatia, Harsh
    Norgard, Gregory
    Pascucci, Valerio
    Bremer, Peer-Timo
    IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2013, 19 (03) : 527 - 528
  • [5] Aeroacoustic analysis using natural Helmholtz-Hodge decomposition
    Haufe, Daniel
    Guertler, Johannes
    Schulz, Anita
    Bake, Friedrich
    Enghardt, Lars
    Czarske, Juergen
    JOURNAL OF SENSORS AND SENSOR SYSTEMS, 2018, 7 (01) : 113 - 122
  • [6] Spatial Reasoning for Robot Navigation Using the Helmholtz-Hodge Decomposition of Omnidirectional Optical Flow
    Mochizuki, Yoshihiko
    Imiya, Atsushi
    2009 24TH INTERNATIONAL CONFERENCE IMAGE AND VISION COMPUTING NEW ZEALAND (IVCNZ 2009), 2009, : 1 - +
  • [7] Meshless Approximation and Helmholtz-Hodge Decomposition of Vector Fields
    Patane, Giuseppe
    IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2022, 28 (02) : 1328 - 1341
  • [8] Discrete Helmholtz-Hodge Decomposition on Polyhedral Meshes Using Compatible Discrete Operators
    Lemoine, A.
    Caltagirone, J. -P.
    Azaiez, M.
    Vincent, S.
    JOURNAL OF SCIENTIFIC COMPUTING, 2015, 65 (01) : 34 - 53
  • [9] Application of Helmholtz-Hodge decomposition to the study of certain vector fields
    Suda, Tomoharu
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (37)
  • [10] FEATURE EXTRACTION OF COMPLEX OCEAN FLOW FIELD USING THE HELMHOLTZ-HODGE DECOMPOSITION
    Wang, Huan
    Deng, Junhui
    2014 IEEE INTERNATIONAL CONFERENCE ON MULTIMEDIA AND EXPO WORKSHOPS (ICMEW), 2014,