Optimal Marching of Autonomous Networked Robots

The recent advances in sensors, actuators, robots, and mobile wireless communication technologies have acceleratedinterest in autonomous networked robots (ANRs), where theindividual robots coordinate among themselves to complete atask, e.g., to explore or monitor a Field of Interest (FoI). Byteamwork, which is especially important in complex tasks, ANRsystem expresses much more capacity than traditional staticsensor networks. Existing work focuses on improving the coverageperformance of a group of ANRs within a single FoI. In thisresearch, we consider a group of ANRs that are instructed toexplore a number of FoIs. After they complete a task at currentFoI, they move to the next one, which may be far away fromcurrent one and the shape can also vary dramatically. Ourresearch focuses on how to efficiently enable such transition. TheANRs must be able to redeploy themselves to desired positionsin the new FoI based on distributed algorithms. Besides, to avoidunexpected event breaks network's integrity, the ANRs shouldpreserve their local connectivities as much as they can andorganize themselves as a whole network without any isolatednodes during the transition. Furthermore, considering energyconsumption, such relocation algorithm should work at the costof reasonable total moving distance. We study this problemand call it optimal marching of autonomous networked robots. The proposed algorithms guarantee global connectivity, andpreserve local connectivities as much as possible at negligiblecost of moving distance. Additionally, ANRs can automaticallyadjust their deployment density in the new FoI based on therequirements of various tasks or regions.

[1]  Harold W. Kuhn,et al.  The Hungarian method for the assignment problem , 1955, 50 Years of Integer Programming.

[2]  Mac Schwager,et al.  Distributed Coverage Control with Sensory Feedback for Networked Robots , 2006, Robotics: Science and Systems.

[3]  Thomas F. La Porta,et al.  Movement-assisted sensor deployment , 2004, IEEE INFOCOM 2004.

[4]  Gaurav S. Sukhatme,et al.  Constrained coverage for mobile sensor networks , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[5]  O. P. Lossers Lösung der Aufgabe 741 , 1975 .

[6]  Weijia Jia,et al.  Pattern Mutation in Wireless Sensor Deployment , 2010, 2010 Proceedings IEEE INFOCOM.

[7]  Gaurav S. Sukhatme,et al.  Mobile Sensor Network Deployment using Potential Fields : A Distributed , Scalable Solution to the Area Coverage Problem , 2002 .

[8]  H. W. Kuhn B R Y N Mawr College Variants of the Hungarian Method for Assignment Problems' , 1955 .

[9]  Qiang Du,et al.  Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations , 2006, SIAM J. Numer. Anal..

[10]  Eric Martinson,et al.  Lattice Formation in Mobile Autonomous Sensor Arrays , 2004, Swarm Robotics.

[11]  Andrey V. Savkin,et al.  Decentralized Control of Mobile Sensor Networks for Asymptotically Optimal Blanket Coverage Between Two Boundaries , 2013, IEEE Transactions on Industrial Informatics.

[12]  S. P. Lloyd,et al.  Least squares quantization in PCM , 1982, IEEE Trans. Inf. Theory.

[13]  R. Kershner The Number of Circles Covering a Set , 1939 .

[14]  Richard M. Karp,et al.  Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems , 1972, Combinatorial Optimization.

[15]  Sonia Martínez,et al.  Coverage control for mobile sensing networks , 2002, IEEE Transactions on Robotics and Automation.

[16]  Donald J. Newman,et al.  The hexagon theorem , 1982, IEEE Trans. Inf. Theory.

[17]  Yuanyuan Yang,et al.  Adaptive Triangular Deployment Algorithm for Unattended Mobile Sensor Networks , 2005, IEEE Transactions on Computers.

[18]  Dong Xuan,et al.  On Deploying Wireless Sensors to Achieve Both Coverage and Connectivity , 2006, 2009 5th International Conference on Wireless Communications, Networking and Mobile Computing.

[19]  Feng Li,et al.  Autonomous Deployment for Load Balancing $k$-Surface Coverage in Sensor Networks , 2015, IEEE Transactions on Wireless Communications.

[20]  Weijia Jia,et al.  Deploying Four-Connectivity and Full-Coverage Wireless Sensor Networks , 2008, IEEE INFOCOM 2008 - The 27th Conference on Computer Communications.

[21]  Krishnendu Chakrabarty,et al.  Sensor deployment and target localization based on virtual forces , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[22]  Hongyi Wu,et al.  A distributed triangulation algorithm for wireless sensor networks on 2D and 3D surface , 2011, 2011 Proceedings IEEE INFOCOM.

[23]  Weijia Jia,et al.  Complete optimal deployment patterns for full-coverage and k-connectivity (k≤6) wireless sensor networks , 2008, MobiHoc '08.

[24]  Hongyi Wu,et al.  Optimal surface deployment problem in wireless sensor networks , 2012, 2012 Proceedings IEEE INFOCOM.