DOI QR코드

DOI QR Code

Decentralized Observer-Based Output-Feedback Formation Control of Multiple Unmanned Underwater Vehicles

  • Moon, Ji Hyun (Dept. of Electronic Engineering, Inha University) ;
  • Lee, Ho Jae (Dept. of Electronic Engineering, Inha University)
  • 투고 : 2017.09.26
  • 심사 : 2017.10.31
  • 발행 : 2018.01.01

초록

This paper addresses a decentralized observer-based output-feedback formation control problem for multiple unmanned underwater vehicles (UUVs). The complex nonlinear model for a UUV is feedback-linearized. It is assumed that each UUV in the formation exploits only the information regarding itself and the immediate predecessor, which imposes structural constraints on the formation controller gain matrices. The design condition is presented as a two-stage linear matrix inequalities problem. The synthesized controller demonstrates its own advantages through a numerical example.

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Fig. 1. Algorithm to design K

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Fig. 2. Time responses for the 3-UUVs' formation (blue:the first-UUV; red-dash-dotted: the second-UUV; and ,black-dashed: the third-UUV) , , ,

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Fig. 3. Nonlinear control inputs (blue: 1st-UUV; red-dash-dotted: 2nd-UUV; black-dashed: 3rd-UUV)

Table 1. Hydrodynamics parameters

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과제정보

연구 과제 주관 기관 : INHA UNIVERSITY

참고문헌

  1. D. W. Kim, "Tracking of REMUS autonomous underwater vehicles with actuator saturations," Automatica, vol. 58, pp. 15-21, 2015. https://doi.org/10.1016/j.automatica.2015.04.029
  2. D. W. Kim, H. J. Lee, M. H. Kim, S. Y. Lee, and T. Y. Kim, "Robust sampled-data fuzzy control of nonlinear systems with parametric uncertainties: Its application to depth control of autonomous underwater vehicles," Int. J. Control Autom. Syst., vol. 10, no. 6, pp. 1164- 1172, 2012. https://doi.org/10.1007/s12555-012-0611-2
  3. X. Xiang, B. Jouvencel, and O. Parodi, "Coordinated formation control of multiple autonomous underwater vehicles for pipeline inspection," Int. J. Adv. Robot. Syst., vol. 7, no. 1, pp. 075-084, 2010.
  4. D. J. Stilwell and B. E. Bishop, "Platoons of uncertain underwater vehicles," IEEE Control Syst. Mag., vol. 20, no. 6, pp. 45-52, 2000. https://doi.org/10.1109/37.887448
  5. C. Ma and Q. Zeng, "Distributed formation control of 6-dof autonomous underwater vehicles networked by sampled-data information under directed topology," Neurocomputing, vol. 154, pp. 33-40, 2015. https://doi.org/10.1016/j.neucom.2014.12.022
  6. Z. Hu, C. Ma, L. Zhang, A. Halme, T. Hayat, and B. Ahmad, "Formation control of impulsive networked autonomous underwater vehicles under fixed and switching topologies," Neurocomputing, vol. 147, pp. 291-298, 2015. https://doi.org/10.1016/j.neucom.2014.06.060
  7. B. S. Park, "Adaptive formation control of underactuated autonomous underwater vehicles," Ocean Eng., vol. 96, pp. 1-7, 2015. https://doi.org/10.1016/j.oceaneng.2014.12.016
  8. K. Shojaei, "Leader-follower formation control of underactuated autonomous marine surface vehicles with limited torque," Ocean Eng., vol. 105, pp. 196- 205, 2015. https://doi.org/10.1016/j.oceaneng.2015.06.026
  9. D. D. Siljak, Decentralized Control of Complex System, ser. Mathematics in Science and Engineering. Academic Press, 1991, vol. 184.
  10. 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. https://doi.org/10.1016/j.automatica.2004.02.017
  11. S. S. Stankovic and D. D. Siljak, "Contractibility of overlapping decentralized control," Syst. Control Lett., vol. 44, no. 3, pp. 189-200, 2001. https://doi.org/10.1016/S0167-6911(01)00141-4
  12. H. J. Lee and D. W. Kim, "Decentralized loadfrequency control of large-scale nonlinear power systems: Fuzzy overlapping approach," J. Electr. Tech., vol. 7, no. 3, pp. 436-442, 2012. https://doi.org/10.5370/JEET.2012.7.3.436
  13. B. S. Park, "Neural network-based fault-tolerant control of underactuated surface vessels," Math. Probl. Eng., vol. 2015, pp. 1-9, 2015.
  14. A. Zecevic and D. Siljak, "Control design with arbitrary information structure constraints," Automatica, vol. 44, no. 10, pp. 2642-2647, 2008. https://doi.org/10.1016/j.automatica.2008.02.029
  15. A. Zecevic and D. Siljak, "A new approach to control design with overlapping information structure constraints," Automatica, vol. 41, no. 2, pp. 265-272, 2005. https://doi.org/10.1016/j.automatica.2004.09.011
  16. A. Zecevic and D. Siljak, "Stabilisation of large-scale nonlinear systems by modifying the interconnection network," Int. J. Control, vol. 83, no. 3, pp. 633-641, 2010. https://doi.org/10.1080/00207170903334839
  17. F. Repoulias and E. Papadopoulos, "Planar trajectory planning and tracking control design for underactuated AUVs," Ocean Eng., vol. 34, no. 11-12, pp. 1650-1667, 2007. https://doi.org/10.1016/j.oceaneng.2006.11.007
  18. G. H. Golub and C. F. V. Loan, Matrix Computations. JHU Press, vol. 3, 2012.