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Spatial target path following and coordinated control of multiple UUVs

  • Qi, Xue (College of Information and Network Engineering, Anhui Science and Technology University) ;
  • Xiang, Peng (School of Finance and Economics, Anhui Science and Technology University) ;
  • Cai, Zhi-jun (School of Finance and Economics, Anhui Science and Technology University)
  • Received : 2017.12.20
  • Accepted : 2019.11.11
  • Published : 2020.12.31

Abstract

The coordination control of multiple Underactuated Underwater Vehicles (UUVs) moving in three dimensional space is investigated in this paper. The coordinated path following control task is decomposed into two sub tasks, that is, path following control and coordination control. In the spatial curve path following control task, path following error dynamics is build in the Serret-Frenet coordinate frame. The virtual reference object can be chosen freely on the desired spatial path. Considering the speed of the UUV, the line-of-sight navigation is introduced to help the path following errors quickly converge to zero. In the coordination control sub task, the communication topology of multiple UUVs is described by the graph theory. The speed of each UUV is adjusted to achieve the coordination. The path following system and the coordination control system are viewed as the feedback connection system. Input-to-state stable of the coordinated path following system can be proved by small gain theorem. The simulation experiments can further demonstrate the good performance of the control method.

Keywords

Acknowledgement

This work was supported by The training objects for young and middle-aged academic leaders in Anhui Science and Technology University in 2018, The 2017 National University Students' innovation and entrepreneurship training program (201710879049), and The National Natural Science Foundation of China (61702007).

References

  1. Alessandretti, A., Aguiar, A.P., Jones, C.N., 2013. Trajectory-tracking and pathfollowing controllers for constrained underactuated vehicles using Model Predictive Control. In: Control Conference. EUCA, pp. 1371-1376.
  2. Antonelli, G., Arrichiello, F., Caccavale, F., et al., 2014. Decentralized time-varying formation control for multi-robot systems. Int. J. Robot Res. 33 (7), 1029-1043. https://doi.org/10.1177/0278364913519149
  3. Askari, A., Mortazavi, M., Talebi, H.A., 2015. UAV formation control via the virtual structure approach. J. Aero. Eng. 28 (1), 04014047.
  4. Bai, J., Wen, G., Rahmani, A., et al., 2017. Distributed formation control of fractionalorder multi-agent systems with absolute damping and communication delay. Int. J. Contr. Autom. Syst. 15 (1), 85-94. https://doi.org/10.1007/s12555-015-0132-x
  5. Borhaug, E., Pavlov, A., Panteley, E., et al., 2011. Straight line path following for formations of underactuated marine surface vessels. IEEE Trans. Contr. Syst. Technol. 19 (3), 493-506. https://doi.org/10.1109/TCST.2010.2050889
  6. Dinh, Q.T., Necoara, I., Savorgnan, C., et al., 2013. An inexact perturbed pathfollowing method for Lagrangian decomposition in large-scale separable convex optimization. SIAM J. Optim. 23 (1), 95-125. https://doi.org/10.1137/11085311X
  7. Faulwasser, T., Findeisen, R., 2016. Nonlinear model predictive control for constrained output path following. IEEE Trans. Automat. Contr. 61 (4), 1026-1039. https://doi.org/10.1109/TAC.2015.2466911
  8. Fossen, T.I., Pettersen, K.Y., Galeazzi, R., 2015. Line-of-sight path following for Dubins paths with adaptive side slip compensation of drift forces. IEEE Trans. Contr. Syst. Technol. 23 (2), 820-827. https://doi.org/10.1109/TCST.2014.2338354
  9. Gao, Q., Pang, Y., Dong-Hao, L.V., 2012. Simulation on Behavior-Based Formation Control of Multi-Robot. Automation & Instrumentation.
  10. Ghabcheloo, R., Aguiar, A.P., Pascoal, A., et al., 2009. Coordinated path-following in the presence of communication losses and time delays. SIAM J. Contr. Optim. 48 (1), 234-265. https://doi.org/10.1137/060678993
  11. Jia, H.M., 2012. Study of Spatial Target Tracking Nonlinear Control of Underactuated UUV Based on Backstepping. A Dissertation for the Degree of D.Eng. Harbin Engineering University.
  12. Kaminer, I., Yakimenko, O., Dobrokhodov, V., et al., 2015. Coordinated path following for time-critical missions of multiple UAVs via L1 adaptive output feedback controllers. In: AIAA Guidance, Navigation and Control Conference and Exhibit, pp. 281-286.
  13. Lapierre, Lionel, Soetanto, Didik, 2007. Nonlinear path-following control of an AUV. Ocean Eng. 34 (11-12), 1734-1744. https://doi.org/10.1016/j.oceaneng.2006.10.019
  14. Li, H., Karray, F., Basir, O., et al., 2010. An optimization algorithm for the coordinated hybrid agent framework. Int. J. Robot Autom. 25 (1), 1730-1735.
  15. Liljeback, P., Haugstuen, I.U., Pettersen, K.Y., 2012. Path following control of planar snake robots using a cascaded approach. IEEE Trans. Contr. Syst. Technol. 20 (1), 111-126. https://doi.org/10.1109/TCST.2011.2107516
  16. Liu, Z.Y., Qiao, H., Xu, L., 2012. An extended path following algorithm for graphmatching problem. IEEE Trans. Pattern Anal. Mach. Intell. 34 (7), 1451-1456. https://doi.org/10.1109/TPAMI.2012.45
  17. Loria, A., Dasdemir, J., Jarquin, N.A., 2016. Leaderefollower formation and tracking control of mobile robots along straight paths. IEEE Trans. Contr. Syst. Technol. 24 (2), 727-732. https://doi.org/10.1109/TCST.2015.2437328
  18. Mariottini, G.L., Pappas, G., Prattichizzo, D., et al., 2015. Vision-based localization of leader-follower formations. Decision and Control. In: 2005 and 2005 European Control Conference. Cdc-Ecc '05. IEEE Conference on. IEEE, pp. 635-640.
  19. Ruchti, J., Senkbeil, R., Carroll, J., et al., 2015. Unmanned aerial system collision avoidance using artificial potential fields. J. Aero. Inf. Syst. 11 (3), 140-144. https://doi.org/10.2514/1.I010022
  20. Xiang, X., Lapierre, L., Liu, C., et al., 2011. Path tracking: combined path following and trajectory tracking for autonomous underwater vehicles. In: International Conference on Intelligent Robots and Systems. IEEE, pp. 3558-3563.
  21. Xing, W., Zhao, Y., Karimi, H., 2017. Convergence analysis on multi-AUV systems with leader-follower architecture[J]. IEEE Access (99), 1-1.
  22. Xu, D., Zhang, X., Zhu, Z., et al., 2014. Behavior-based formation control of swarm robots. Math. Probl Eng. (1), 1214-1225.