We consider the problem of optimal coverage with area-constraints in a mobile multi-agent system. For a planar environment with an associated density function, this problem is equivalent to dividing the environment into optimal subregions such that each agent is responsible for the coverage of its own region. In this paper, we design a continuous-time distributed policy which allows a team of agents to achieve a convex area-constrained partition of a convex workspace. Our work is related to the classic Lloyd algorithm, and makes use of generalized Voronoi diagrams. We also discuss practical implementation for real mobile networks. Simulation methods are presented and discussed.
Issue Section:
Research Papers
Topics:
Algorithms,
Density,
Robotics,
Simulation,
Flow (Dynamics),
Weight (Mass),
Generators,
Design
References
1.
Macwan
, A.
, Nejat
, G.
, and Benhabib
, B.
, 2011
, “Optimal Deployment of Robotic Teams for Autonomous Wilderness Search and Rescue
,” IEEE/RSJ International Conference on Intelligent Robots & Systems
, pp. 4544
–4549
.2.
Han
, Z.
, Swindlehurst
, A. L.
, and Liu
, K. J. R.
, 2006
, “Smart Deployment/Movement of Unmanned Air Vehicle to Improve Connectivity in MANET
,” IEEE Wireless Communications and Networking Conference
, pp. 252
–257
.3.
Wurman
, P. R.
, D'Andrea
, R.
, and Mountz
, M.
, 2008
, “Coordinating Hundreds of Cooperative, Autonomous Vehicles in Warehouses
,” AI Maga.
, 29
(1
), pp. 9
–20
.4.
Smith
, R. N.
, Chao
, Y.
, Li
, P. P.
, Caron
, D. A.
, Jones
, B. H.
, and Sukhatme
, G. S.
, 2010
, “Planning and Implementing Trajectories for Autonomous Underwater Vehicles to Track Evolving Ocean Processes Based on Predictions From a Regional Ocean Model
,” Int. J. Robot. Res.
, 29
(12
), pp. 1475
–1497
.10.1177/02783649103772435.
Bullo
, F.
, Cortés
, J.
, and Martínez
, S.
, 2009
, Distributed Control of Robotic Networks
, Princeton University
, Princeton, NJ
.6.
Okabe
, A.
, Boots
, B.
, Sugihara
, K.
, and Chiu
, S. N.
, 2000
, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams
, 2nd ed., Wiley Series in Probability and Statistics
, John Wiley & Sons, Chichester, UK.7.
Pavone
, M.
, Arsie
, A.
, Frazzoli
, E.
, and Bullo
, F.
, 2011
, “Distributed Algorithms for Environment Partitioning in Mobile Robotic Networks
,” IEEE Trans. Autom. Control
, 56
(8
), pp. 1834
–1848
.10.1109/TAC.2011.21124108.
Cortés
, J.
, 2010
, “Coverage Optimization and Spatial Load Balancing by Robotic Sensor Networks
,” IEEE Trans. Autom. Control
, 55
(3
), pp. 749
–754
.10.1109/TAC.2010.20404959.
Carlsson
, J. G.
, and Devulapalli
, R.
, 2013
, “Shadow Prices in Territory Division
,” University of Minnesota, Available at: http://menet.umn.edu/~jgc/shadow-prices-rev2.pdf10.
Patel
, R.
, Frasca
, P.
, and Bullo
, F.
, 2013
, “Centroidal Area-Constrained Partitioning for Robotic Networks
,” ASME Dynamic Systems and Control Conference
.11.
Horn
, R. A.
, and Johnson
, C. R.
, 1985
, Matrix Analysis
, Cambridge University
, Cambridge, UK.12.
Luenberger
, D. G.
, 1984
, Linear and Nonlinear Programming
, 2nd ed., Addison-Wesley
, Reading, MA.13.
Bullo
, F.
, Carli
, R.
, and Frasca
, P.
, 2012
, “Gossip Coverage Control for Robotic Networks: Dynamical Systems on the Space of Partitions
,” SIAM J. Control Optim.
, 50
(1
), pp. 419
–447
.10.1137/10080637014.
Nowzari
, C.
, and Cortés
, J.
, 2012
, “Self-Triggered Coordination of Robotic Networks for Optimal Deployment
,” Automatica
, 48
(6
), pp. 1077
–1087
.10.1016/j.automatica.2012.03.00915.
Carlsson
, J. G.
, Carlsson
, E.
, and Devulapalli
, R.
, “Balancing Workloads for Service Vehicles Over a Geographic Territory
,” IEEE/RSJ International Conference on Intelligent Robots Systems
(to be published).16.
Durham
, J. W.
, Carli
, R.
, Frasca
, P.
, and Bullo
, F.
, 2012
, “Discrete Partitioning and Coverage Control for Gossiping Robots
,” IEEE Trans. Robot.
, 28
(2
), pp. 364
–378
.10.1109/TRO.2011.217075317.
Ny
, J. L.
, and Pappas
, G. J.
, 2013
, “Adaptive Deployment of Mobile Robotic Networks
,” IEEE Trans. Autom. Control
, 58
(3
), pp. 654
–666
.10.1109/TAC.2012.221551218.
Schwager
, M.
, Rus
, D.
, and Slotine
, J. J.
, 2009
, “Decentralized, Adaptive Coverage Control for Networked Robots
,” Int. J. Robot. Res.
, 28
(3
), pp. 357
–375
.10.1177/0278364908100177Copyright © 2014 by ASME
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