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Formation Control for Underactuated Autonomous Underwater Vehicles Using the Approach Angle

  • Kim, Kyoung Joo (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Park, Jin Bae (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Choi, Yoon Ho (Department of Electronic Engineering, Kyonggi University)
  • Received : 2013.07.28
  • Accepted : 2013.09.14
  • Published : 2013.09.25

Abstract

In this paper, we propose a formation control algorithm for underactuated autonomous underwater vehicles (AUVs) with parametric uncertainties using the approach angle. The approach angle is used to solve the underactuated problem for AUVs, and the leader-follower strategy is used for the formation control. The proposed controller considers the nonzero off-diagonal terms of the mass matrix of the AUV model and the associated parametric uncertainties. Using the state transformation, the mass matrix, which has nonzero off-diagonal terms, is transformed into a diagonal matrix to simplify designing the control. To deal with the parametric uncertainties of the AUV model, a self-recurrent wavelet neural network is used. The proposed formation controller is designed based on the dynamic surface control technique. Some simulation results are presented to demonstrate the performance of the proposed control method.

Keywords

References

  1. F. A. Papoulias and Z. O. Oral, "Hopf bifurcation and nonlinear studies of gain margins in path control of marine vehicles," Applied Ocean Research, vol. 17, no. 1, pp. 21- 32, Feb. 1995. http://dx.doi.org/10.1016/0141-1187(94) 00016-G
  2. F. A. Papoulias, "Cross track error and proportional turning rate guidance of marine vehicles," Journal of Ship Research, vol. 38, no. 2, pp. 123-132, Jun. 1994.
  3. K. Y. Pettersen and H. Nijmeijer, "Underactuated ship tracking control: theory and experiments," International Journal of Control, vol. 74, no. 14, pp. 1435-1446, Jan. 2001. http://dx.doi.org/10.1080/00207170110072039
  4. E. Lefeber, K. Y. Pettersen, and H. Nijmeijer, "Tracking control of an underactuated ship," IEEE Transactions on Control Systems Technology, vol. 11, no. 1, pp. 52-61, Jan. 2003. http://dx.doi.org/10.1109/TCST.2002.806465
  5. Z. P. Jiang, "Global tracking control of underactuated ships by Lyapunov's direct method," Automatica, vol. 38, no. 1, pp. 301-309, Feb. 2002. http://dx.doi.org/10.1016/S0005-1098(01)00199-6
  6. 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, Dec. 1998. http://dx.doi.org/10.1109/70.736776
  7. K. D. Do, "Practical formation control of multiple underactuated ships with limited sensing ranges," Robotics and Autonomous Systems, vol. 59, no. 6, pp. 457-471, Jun. 2011. http://dx.doi.org/10.1016/j.robot.2011.03.003
  8. M. A. Lewis and K. H. Tan, "High precision formation control of mobile robots using virtual structures," Autonomous Robots, vol. 4, no. 4, pp. 387-4-3, Oct. 1997. http://dx.doi.org/10.1023/A:1008814708459
  9. E. Yang and D. Gu, "Nonlinear formation-keeping and mooring control of multiple autonomous underwater vehicles," IEEE Transactions on Mechatronics, vol. 12, no. 2, pp. 164-178, Apr. 2007. http://dx.doi.org/10.1023/A: 1008814708459
  10. R. Cui, S. S. Ge, B. V. E. How, and Y. S. Choo, "Leader follower formation control of underactuated autonomous underwater vehicles," Ocean Engineering, vol. 37, no. 17- 18, pp. 1491-1502, Dec. 2010. http://dx.doi.org/10.1016/j. oceaneng.2010.07.006
  11. D. B. Edward, T. A. Beam, D. L. Odell, and M. L. Anderson, "A leader-follower algorithm for multiple AUV formations," in Proceedings of IEEE/OES Autonomous Underwater Vehicles, Sebasco, ME, Jun. 2004, pp.40-46. http://dx.doi.org/10.1109/AUV.2004.1431191
  12. R. Skjetne, S. Moi, and T. Fossen, "Nonlinear formation control of marine craft," in Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, Dec. 2002, pp. 1699-1704.
  13. K. D. Do, "Practical control of underactuated ships," Ocean Engineering, vol. 37, no. 13, pp. 1111-1119, Sep. 2010. http://dx.doi.org/10.1016/j.oceaneng.2010.04.007
  14. S. J. Yoo, Y. H. Choi, and J. B. Park, "Generalized predictive control based on self-recurrent wavelet neural network for stable path tracking of mobile robots: adaptive learning rate approach," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 53, no. 6, pp. 1381-1394, Jun. 2006. http://dx.doi.org/10.1109/TCSI.2006.875166
  15. B. S. Park, S. J. Yoo, J. B. Park, and Y. H. Choi, "A simple adaptive control approach for trajectory tracking of electrically driven nonholonomic mobile robots," IEEE Transactions on Control Systems Technology, vol. 18, no. 5, pp 1199-1206, Sep. 2010. http://dx.doi.org/10.1109/ TCST.2009.2034639
  16. K. J. Kim, J. B. Park, and Y. H. Choi, "Path tracking control for underactuated autonomous underwater vehicles using approach angle," IEICE Transactions on Fundamentals of Electronics, Communications and Computer Science, vol. E95-A, no. 4, pp. 760-766, Apr. 2012. http://dx.doi.org/10.1587/transfun.E95.A.760
  17. D. Swaroop, J. K. Hedrick, P. P. Yip, and J. C. Gerdes, "Dynamic surface control for a class of nonlinear systems," IEEE Transactions on Automatic Control, vol. 45, no. 10, pp. 1893-1899, Oct. 2000. http://dx.doi.org/10.1109/TAC. 2000.880994
  18. Y. Oussar, I. Rivals, L. Personnaz, and G. Dreyfus, "Training wavelet networks for nonlinear dynamic inputoutput modeling," Neurocomputing, vol. 20, no. 1- 3, pp. 173-188, Aug. 1998. http://dx.doi.org/10.1016/ S0925-2312(98)00010-1
  19. F. J. Lin, T. S. Lee, and C. H. Lin, "Robust H1 controller design with recurrent neural network for linear synchronous motor drive," IEEE Transactions on Industrial Electronics, vol. 50, no. 3, pp. 456-470, Jun. 2003. http://dx.doi.org/10.1109/TIE.2003.809394
  20. M. M. Polycarpou and M. J. Mears, "Stable adaptive tracking of uncertain systems using nonlinearly parameterized on-line approximators," International Journal of Control, vol. 70, no. 3, pp. 363-384, 1998. http://dx.doi.org/10.1080/002071798222280