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Cooperative Control of Multi-robot Systems with a Low-Degree Formation

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Book cover Advanced Computer and Communication Engineering Technology

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 362))

Abstract

The utilization of team of robots working in a cooperative manner has huge benefits in moving large payloads. To perform such tasks, a multi robot structure or formation is necessary to coordinate the motions of the robots in a well planned manner. In this paper, the formation control problem of multi car-like mobile robots have been studied. The purpose is to get a swarm of mobile robots in a certain formation pattern to track a desired trajectory to accomplish a set objective. A set of artificial potential field functions is proposed using the Direct Method of Lyapunov for avoiding inter-robot, inter-formation and obstacle collisions and attraction to their designated targets. The effectiveness of the proposed nonlinear acceleration control laws is demonstrated through computer simulation results which prove the efficiency of our control technique and also demonstrates scalability for a large group of robots.

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References

  1. Kanjanawanishkul, M., Hofmeister, K., Zell, A.: Smooth reference tracking of a mobile robot using nonlinear model predictive control. In: Proceedings of the 4th European Conference on Mobile Robots, ECMR’09, pp. 161–166, Croatia (2009)

    Google Scholar 

  2. Ze-su, C., Jie, Z., Jian, C.: Formation control and obstacle avoidance for multiple robots subject to wheel slip. Int. J. Adv. Robot. Syst. 9, 1–15 (2012)

    Article  Google Scholar 

  3. van den Broek, T.H.A., van de Wouw, N., Nijmeijer, H.: Formation control of unicycle mobile robots: a virtual structure approach. In: Proceedings of Joint 48th IEEE International Conference on Decision and Control and 28th Chinese Control Conference, pp. 8328–8333, Shanghai, PR China (2009)

    Google Scholar 

  4. Toibero, J., Roberti, F., Fiorini, P., Carelli, R.: Hybrid formation control for non-holonomic wheeled robots. In: Recent Progress in Robotics: Lecture Notes in Control and Information Systems, pp. 21–34. Springer, Berlin (2008)

    Google Scholar 

  5. Mas, I., Kitts, C.: Object manipulation using cooperative mobile multi-robot systems. In: Proceedings of the World Congress on Engineering and Computer Science. San Francisco, USA (2012)

    Google Scholar 

  6. Hou, S.P., Cheah, C.C., Slotine, J.J.E.: Dynamic region following formation control for a swarm of robots. In: Proceedings of IEEE International Conference on Robotics and Automation, pp. 1929–1934, Kobe, Japan (2009)

    Google Scholar 

  7. Olfati-Saber, R., Dunbar, W.B., Murray, R.M.: Cooperative control of multi-vehicle systems using cost graphs and optimization. In: Proceedings of the American Control Conference, pp. 1–15 (2003)

    Google Scholar 

  8. Guo, J., Yan, G., Lin, Z.: Cooperative control synthesis for moving-target enclosing with changing topologies. In: Proceedings of IEEE International Conference on Robotics and Automation, Alaska, USA (2010)

    Google Scholar 

  9. Yamaguchi, H.: A distributed motion coordination strategy for multiple nonholonomic mobile robots in cooperative hunting operations. Robot. Auton. Syst. 43(4), 257–282 (2003)

    Article  Google Scholar 

  10. Chung, S.-J., Slotine, J.-J.: Cooperative robot control and concurrent synchronization of Lagrangian systems. In: Proceedings of 46th IEEE International Conference on Design and Control (2007)

    Google Scholar 

  11. Sharma, B.: New directions in the applications of the Lyapunov-based control scheme to the find path problem. Ph.D. thesis, University of the South Pacific, Suva, Fiji Islands (2008)

    Google Scholar 

  12. Raghuwaiya, K., Singh, S.: Formation types of multiple steerable 1-trailer mobile robots via split/rejoin maneuvers. New Zealand J. Math. 43, 7–21 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  13. Kang, W., Xi, N., Tan, J., Wang, Y.: Formation control of multiple autonomous robots: theory and experimentation. Intell. Autom. Soft Comput. 10(2), 1–17 (2004)

    Google Scholar 

  14. Brockett, R.W.: Asymptotic stability and feedback stabilisation. In: Differential Geometry Control Theory, pp. 181–191. Springer, Berlin (1983)

    Google Scholar 

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Correspondence to Krishna Raghuwaiya .

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Raghuwaiya, K., Sharma, B., Vanualailai, J. (2016). Cooperative Control of Multi-robot Systems with a Low-Degree Formation. In: Sulaiman, H., Othman, M., Othman, M., Rahim, Y., Pee, N. (eds) Advanced Computer and Communication Engineering Technology. Lecture Notes in Electrical Engineering, vol 362. Springer, Cham. https://doi.org/10.1007/978-3-319-24584-3_20

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  • DOI: https://doi.org/10.1007/978-3-319-24584-3_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24582-9

  • Online ISBN: 978-3-319-24584-3

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