Adaptive communication-constrained deployment of mobile robotic networks

Cooperation between multiple autonomous vehicles requires inter-vehicle communication, which in many scenarios must be established over an ad-hoc wireless network. This paper proposes an optimization-based approach to the deployment of such mobile robotic networks. A primal-dual gradient descent algorithm jointly optimizes the steady-state positions of the robots based on the specification of a high-level task in the form of a potential field, and routes packets through the network to support the communication rates desired for the application. The motion planning and communication objectives are tightly coupled since the link capacities depend heavily on the relative distances between vehicles. The algorithm decomposes naturally into two components, one for position optimization and one for communication optimization, coupled via a set of Lagrange multipliers. Crucially and in contrast to previous work, our method can rely on on-line evaluation of the channel capacities during deployment instead of a prespecified model. A randomized sampling scheme along the trajectories allows the robots to implement the algorithm with minimal coordination overhead.

[1]  Karl Henrik Johansson,et al.  Adaptive exploitation of multipath fading for mobile sensors , 2010, 2010 IEEE International Conference on Robotics and Automation.

[2]  James C. Spall,et al.  Introduction to stochastic search and optimization - estimation, simulation, and control , 2003, Wiley-Interscience series in discrete mathematics and optimization.

[3]  Alejandro Ribeiro,et al.  Separation Principles in Wireless Networking , 2010, IEEE Transactions on Information Theory.

[4]  Eytan Modiano,et al.  Throughput Optimization in Mobile Backbone Networks , 2011, IEEE Transactions on Mobile Computing.

[5]  J. Spall Multivariate stochastic approximation using a simultaneous perturbation gradient approximation , 1992 .

[6]  Alejandro Ribeiro,et al.  Mobility & routing control in networks of robots , 2010, 49th IEEE Conference on Decision and Control (CDC).

[7]  Alejandro Ribeiro,et al.  Adaptive Communication-Constrained Deployment of Unmanned Vehicle Systems , 2012, IEEE Journal on Selected Areas in Communications.

[8]  O. Khatib,et al.  Real-Time Obstacle Avoidance for Manipulators and Mobile Robots , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[9]  Magnus Egerstedt,et al.  Graph Theoretic Methods in Multiagent Networks , 2010, Princeton Series in Applied Mathematics.

[10]  Nuno C. Martins,et al.  Jointly optimal power allocation and constrained node placement in wireless networks of agents , 2008 .

[11]  Hongyan Wang,et al.  Social potential fields: A distributed behavioral control for autonomous robots , 1995, Robotics Auton. Syst..

[12]  Alejandro Ribeiro,et al.  Ergodic Stochastic Optimization Algorithms for Wireless Communication and Networking , 2010, IEEE Transactions on Signal Processing.

[13]  Francesco Bullo,et al.  Esaim: Control, Optimisation and Calculus of Variations Spatially-distributed Coverage Optimization and Control with Limited-range Interactions , 2022 .

[14]  H. Kushner,et al.  Stochastic Approximation and Recursive Algorithms and Applications , 2003 .

[15]  Alejandro Ribeiro,et al.  Distributed control of mobility & routing in networks of robots , 2011, 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications.

[16]  Alejandro Ribeiro,et al.  Robot deployment with end-to-end communication constraints , 2011, IEEE Conference on Decision and Control and European Control Conference.

[17]  Yasamin Mostofi,et al.  Communication-aware navigation functions for cooperative target tracking , 2009, 2009 American Control Conference.

[18]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[19]  G. Pflug Stochastic Approximation Methods for Constrained and Unconstrained Systems - Kushner, HJ.; Clark, D.S. , 1980 .

[20]  Daniel E. Koditschek,et al.  Exact robot navigation using artificial potential functions , 1992, IEEE Trans. Robotics Autom..

[21]  Alejandro Ribeiro Stochastic learning algorithms for optimal design of wireless networks , 2010, 2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[22]  Yasamin Mostofi,et al.  Characterization and modeling of wireless channels for networked robotic and control systems - a comprehensive overview , 2009, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems.