Discussion of Exemplary Metrics for Multi-Robot Systems for Formation Navigation

This work addresses the problem of metrics for multi-robot systems. It is often desirable to compare different strategies or algorithms for similar problems, e.g. mapping or localization. Since these are often real time applications, classical criterions like time or space complexity are not very helpful. Several other metrics have been suggested. In this paperformation navigation is used as an example application. Possible metrics are presented and discussed, and two of them are used to exemplarily evaluate the results of several formation experiments. Problems and drawbacks of these metrics are discussed and preconditions for a general metricfor the formation problem are adumbrated. Finally, first steps towards a generic and generally applicable metric are presented by means of simulation experiments.

[1]  Yoram Koren,et al.  Real-time obstacle avoidance for fast mobile robots in cluttered environments , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[2]  Frank E. Schneider,et al.  Simulation von Mehrrobotersystemen , 1997, AMS.

[3]  Hugh F. Durrant-Whyte,et al.  A computationally efficient solution to the simultaneous localisation and map building (SLAM) problem , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[4]  Tucker R. Balch,et al.  Behavior-based formation control for multirobot teams , 1998, IEEE Trans. Robotics Autom..

[5]  Maja J. Mataric,et al.  A general algorithm for robot formations using local sensing and minimal communication , 2002, IEEE Trans. Robotics Autom..

[6]  Wolfram Burgard,et al.  Coordinated multi-robot exploration , 2005, IEEE Transactions on Robotics.

[7]  Yoram Koren,et al.  Potential field methods and their inherent limitations for mobile robot navigation , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[8]  Frank E. Schneider,et al.  Directed and non-directed potential field approaches to formation navigation , 2005 .

[9]  Tamio Arai,et al.  Distributed and autonomous control method for generating shape of multiple mobile robot group , 1994, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'94).

[10]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[11]  François Michaud,et al.  Autonomous initialization of robot formations , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[12]  Wolfram Burgard,et al.  A Probabilistic Approach to Collaborative Multi-Robot Localization , 2000, Auton. Robots.

[13]  Wolfram Burgard,et al.  Collaborative Exploration of Unknown Environments with Teams of Mobile Robots , 2001, Advances in Plan-Based Control of Robotic Agents.

[14]  Wolfram Burgard,et al.  A real-time algorithm for mobile robot mapping with applications to multi-robot and 3D mapping , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[15]  G. Sukhatme,et al.  Negotiated Formations , 2003 .

[16]  Joachim Hertzberg,et al.  Advances in Plan-Based Control of Robotic Agents , 2003, Lecture Notes in Computer Science.