World Academy of Science, Engineering and Technology
Published December 21, 2011 | Version 11977
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Formation Control of Mobile Robots

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In this paper, we study the formation control problem for car-like mobile robots. A team of nonholonomic mobile robots navigate in a terrain with obstacles, while maintaining a desired formation, using a leader-following strategy. A set of artificial potential field functions is proposed using the direct Lyapunov method for the avoidance of obstacles and attraction to their designated targets. The effectiveness of the proposed control laws to verify the feasibility of the model is demonstrated through computer simulations

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References

  • V. Gazi, "Swarm Aggregations Using Artificial Potentials and Sliding Mode Control", in Procs. IEEE Conference on Decision and Control, Mauii, Hawaii, 2003. pp 2041-2046
  • D. Crombie, "The Examination and Exploration of Algorithms and Complex Behavior to Realistically Control Multiple Mobile Robots". Master-s thesis, Australian National University, Australia, 1997.
  • P. Ogren, "Formations and Obstacle Avoidance in Mobile Robot Control". Master-s thesis , Royal Institute of Technology, Stockholm, Sweden, June, 2003.
  • B. Sharma, "New Directions in the Applications of the Lyapunov-based Control Scheme to the Findpath Problem", PhD Dissertation, University of the South Pacific, Fiji, July 2008.
  • T.-Broek, N.-Wouw, H. Nilmeijer, "Formation control of unicycle mobile robots: A virtual structure approach," Joint 48th IEEE Conf on Decision and Control and 28th Chineese Conference, Shanghai, P.R. China, Dec 2009, pp. 8328-8333.
  • W. Kang, N. Xi, J. Tan, and J. Wang, "Formation Control of Multiple Autonomous Robots: Theory and Experimentation", Intelligent Automation and Soft Computing, 2004, 10(2): pp 1-17.
  • R. Olfati-Saber, "Flocking for Multi-agent Dynamic Systems: Algorithms and Theory", IEEE Transactions on Autonomous Control, 2006, 51(3): pp 401-420.
  • R. Olfati-Saber and R.M. Murray, "Flocking with Obstacle Avoidance: Cooperation with Limited Information in Mobile Networks", in Procs. of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, December (2003), vol 2, pp 2022-2028.
  • R.C. Arkin, "Behavior-based robotics," London: MIT Press, 1998. + [10] R. W. Beard, J. Lawton, and F. Y. Hadaegh, "A feedback architecture for formation control," IEEE Transactions on Control Systems Technology, November 2001, vol. 9, pp. 777-790. [11] J. Vanualailai, B. Sharma, and A. Ali, "Lyapunov-based Kinematic Path Planning for a 3-Link Planar Robot Arm in a Structured Environment", Global Journal of Pure and Applied Mathematics, 2007, 3(2), pp 175-190. [12] K. Raghuwaiya, S. Singh, B. Sharma, and J. Vanualailai, "Autonomous Control of a Flock of 1-Trailer Mobile robots", Procs of the 2010 International Conference on Scientific Computing, Las Vegas, USA, 2010, pp 153-158. [13] K. Raghuwaiya, S. Singh, B. Sharma, G. Lingam, " Formation Types of a Flock of 1-Trailer Mobile Robots," Proc of The 7th IMT-GT International Conference on Mathematics, Statistics and its Applications, Bangkok, Thailand, 2011, pp 368-382. [14] R. W. Brockett, "Differential Geometry Control Theory", chapter Asymptotic Stability and Feedback Stabilisation, pages 181-191. Springer-Verlag, (1983).