Multi-Robot Control Using Coverage Over Time-Varying Domains: Extended Abstract

An approach is proposed to influence the motion of a group of robots by using time-varying domains and multi-agent coverage control. We synthesize controllers for the individual agents by specifying the desired spread and motion of the multi-robot team as a whole. The result is an approach that is agnostic to the size of the multi-robot team and that does not require assignments of roles, e.g., leaders and followers. The modified coverage optimization problem is stated to accommodate time-varying domains, and a control strategy is proposed to solve the problem with exponential convergence guarantees. Analytical expressions for the surface and line integral terms in the proposed coverage control law can be provided for the uniform coverage density case. A robot implementation of the control strategy on a multi-robot team is used to validate the results.

[1]  Byung-Cheol Min,et al.  Pivot-based Collective Coverage Control with a Multi-robot Team , 2018, 2018 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[2]  Petros G. Voulgaris,et al.  Multi-objective control for multi-agent systems using Lyapunov-like barrier functions , 2013, 52nd IEEE Conference on Decision and Control.

[3]  Giancarlo Ferrari-Trecate,et al.  Containment Control in Mobile Networks , 2008, IEEE Transactions on Automatic Control.

[4]  Guoqiang Hu,et al.  Time-varying formation control for general linear multi-agent systems with switching directed topologies , 2016, Autom..

[5]  A. Jadbabaie,et al.  Formation control for a cooperative multi-agent system using decentralized navigation functions , 2006, 2006 American Control Conference.

[6]  Yancy Diaz-Mercado,et al.  Human–Swarm Interactions via Coverage of Time-Varying Densities , 2017 .

[7]  Yancy Diaz-Mercado,et al.  Distributed dynamic density coverage for human-swarm interactions , 2015, 2015 American Control Conference (ACC).

[8]  Chien Chern Cheah,et al.  Region-based shape control for a swarm of robots , 2009, Autom..

[9]  Qiang Du,et al.  Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..

[10]  Sung G. Lee,et al.  Multirobot Control Using Time-Varying Density Functions , 2014, IEEE Transactions on Robotics.

[11]  Yi Dong,et al.  Leader-Following Connectivity Preservation Rendezvous of Multiple Double Integrator Systems Based on Position Measurement Only , 2014, IEEE Transactions on Automatic Control.

[12]  Bin Zhou,et al.  Consensus of high-order multi-agent systems with large input and communication delays , 2014, at - Automatisierungstechnik.

[13]  Farzaneh Abdollahi,et al.  Time-varying formation control of a collaborative heterogeneous multi agent system , 2014, Robotics Auton. Syst..

[14]  Chee Pin Tan,et al.  Coverage Control of a Mobile Multi-Agent Serving System in Dynamical Environment , 2018, 2018 Joint 7th International Conference on Informatics, Electronics & Vision (ICIEV) and 2018 2nd International Conference on Imaging, Vision & Pattern Recognition (icIVPR).

[15]  Corrado Possieri,et al.  Motion Planning, Formation Control and Obstacle Avoidance for Multi-Agent Systems , 2018, 2018 IEEE Conference on Control Technology and Applications (CCTA).