Fig. 1. Algorithm to design K
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) , , ,
Fig. 3. Nonlinear control inputs (blue: 1st-UUV; red-dash-dotted: 2nd-UUV; black-dashed: 3rd-UUV)
Table 1. Hydrodynamics parameters
References
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
- 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
- D. D. Siljak, Decentralized Control of Complex System, ser. Mathematics in Science and Engineering. Academic Press, 1991, vol. 184.
- 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
- 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
- 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
- B. S. Park, "Neural network-based fault-tolerant control of underactuated surface vessels," Math. Probl. Eng., vol. 2015, pp. 1-9, 2015.
- 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
- 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
- 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
- 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
- G. H. Golub and C. F. V. Loan, Matrix Computations. JHU Press, vol. 3, 2012.