Formation Control of Multiple Agents with Preserving Connectivity and its Application to Gradient Climbing

Authors

  • K.D. Do

Abstract

A design of cooperative controllers that force a group of N mobile agents with limited communication ranges to perform a desired formation is presented. The proposed formation control system also preserves initial communication connectivity and guarantees no collisions between the agents. The formation control design is based on smooth step functions, potential functions, and the Lyapunov direct method. The proposed formation control system is applied to solve a gradient climbing problem where the gradient average of a distributed field is estimated over a bounded region using the field measurement by the agents.

Author Biography

K.D. Do

Department of Mathematics and Computer Science

References

A. Das, R. Fierro, V. Kumar, J. Ostrowski, J. Spletzer, and C. Taylor, "A vision based formation control framework," IEEE Transactions on Robotics and Automation, vol. 18, no. 5, pp. 813-825, 2002. http://dx.doi.org/10.1109/TRA.2002.803463

J. Hu and G. Feng, "Distributed tracking control of leader-follower multi-agent systems under noisy measurement," Automatica, vol. 46, no. 8, pp. 1382-1387, 2010. http://dx.doi.org/10.1016/j.automatica.2010.05.020

M. Egerstedt and X. Hu, "Formation constrained multiagent control," IEEE Transactions on Robotics and Austomation, vol. 17, no. 6, pp. 947-951, 2001. http://dx.doi.org/10.1109/70.976029

T. Balch and R. C. Arkin, "Behavior-based formation control for multirobot teams," IEEE Transactions on Robotics and Automation, vol. 14, no. 6, pp. 926-939, 1998. http://dx.doi.org/10.1109/70.736776

R. T. Jonathan, R. W. Beard, and B. Young, "A decentralized approach to formation maneuvers," IEEE Transactions on Robotics and Automation, vol. 19, no. 6, pp. 933-941, 2003. http://dx.doi.org/10.1109/TRA.2003.819598

H. G. Tanner and A. Kumar, "Towards decentralization of multi-robot navigation functions," in Proceedings of the 2005 IEEE International Conference on Robotics and Automation, (Barcelona, Spain), pp. 4132-4137, 2005. http://dx.doi.org/10.1109/ROBOT.2005.1570754

K. D. Do, "Bounded controllers for formation stabilization of mobile agents with limited sensing ranges," IEEE Transactions on Automatic Control, vol. 52, no. 3, pp. 569-576, 2007. http://dx.doi.org/10.1109/TAC.2007.892382

E. Rimon and D. E. Koditschek, "Exact robot navigation using artificial potential functions," IEEE Trans. Robot. and Automat., vol. 8, no. 5, pp. 501-518, 1992. http://dx.doi.org/10.1109/70.163777

D. M. Stipanovic, G. Inalhan, R. Teo, and C. J. Tomlin, "Decentralized overlapping control of a formation of unmanned aerial vehicles," Automatica, vol. 40, no. 8, pp. 1285-1296, 2004. http://dx.doi.org/10.1016/j.automatica.2004.02.017

R. Olfati-Saber, "Flocking for multi-agent dynamic systems: algorithms and theory," IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 401-420, 2006. http://dx.doi.org/10.1109/TAC.2005.864190

M. Ji and M. Egerstedt, "Distributed coordination control of multi-agent systems while preserving connectedness," IEEE Transactions on Robotics, vol. 23, no. 4, pp. 693-703, 2007. http://dx.doi.org/10.1109/TRO.2007.900638

M. M. Zavlanos and G. J. Pappas, "Potential fields for maintaining connectivity of mobile networks," IEEE Transactions on Robotics, vol. 23, no. 4, pp. 812-816, 2007. http://dx.doi.org/10.1109/TRO.2007.900642

D. V. Dimarogonas and K. J. Kyriakopoulos, "Connectedness preserving distributed swarm aggregation for multiple kinematic robots," IEEE Transactions on Robotics, vol. 24, no. 5, pp. 1213-1222, 2008. http://dx.doi.org/10.1109/TRO.2008.2002313

K. D. Do, "Output-feedback formation tracking control of unicycle-type mobile robots with limited sensing ranges," Robotics and Autonomous Systems, vol. 57, pp. 34-47, 2009. http://dx.doi.org/10.1016/j.robot.2008.03.006

H. Khalil, Nonlinear Systems. Prentice Hall, 2002.

M. Krstic, I. Kanellakopoulos, and P. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.

K. D. Do and J. Pan, Control of Ships and Underwater Vehicles: Design for Underactuated and Nonlinear Marine Systems. Springer, 2009. http://dx.doi.org/10.1007/978-1-84882-730-1

Published

2014-09-16

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