This paper addresses a three-dimensional (3D) trajectory tracking problem of underactuated autonomous
underwater vehicles (AUVs) subjected to input saturation and external disturbances. The proposed
controller can achieve practical convergence of tracking errors for general reference trajectories, including persistently
exciting (PE) time varying trajectories and fixed points. At first, a modified error state formulation
is introduced to tackle the situation that desired velocities do not satisfy PE condition. Then, on the basis of
the backstepping technique and a Nussbaum-type even function, a saturated controller is designed so that the
tracking errors can converge to a bounded neighborhood of the origin. The stability analysis based on Lyapunov
theory shows that the tracking errors are globally ultimately uniformly bounded. Finally, some simulation results
illustrate the effectiveness and robustness of the proposed control strategy.
HUANG Hantao, ZHOU Jingye, DI Qing, ZHOU Jiawei , LI Jiawang
. Three-Dimensional Trajectory Tracking Control of Underactuated Autonomous Underwater Vehicles with Input Saturation[J]. Journal of Shanghai Jiaotong University(Science), 2020
, 25(4)
: 470
-477
.
DOI: 10.1007/s12204-020-2195-y
[1] SANKARANARAYANANV, MAHINDRAKAR A D, BANAVAR R N. A switched controller for an underactuated underwater vehicle [J]. Communications in Nonlinear Science and Numerical Simulation, 2008,13(10): 2266-2278.
[2] AGUIAR A P, PASCOAL A M. Global stabilization of an underactuated autonomous underwater vehicle via logic-based switching [C]//41st IEEE Conference on Decision and Control. Las Vegas, USA: IEEE, 2002:3267-3272.
[3] PETTERSEN K Y, EGELAND O. Position and attitude control of an underactuated autonomous underwater vehicle [C]//35th IEEE Conference on Decision and Control. Kobe, Japan: IEEE, 1996: 987-991.
[4] YU X H, WU Y Q, MAN Z H. On global stabilization of nonlinear dynamical systems [C]//Variable Structure Systems, Sliding Mode and Nonlinear Control.London, UK: Springer, 2007: 109-122.
[5] LAPIERRE L, SOETANTO D. Nonlinear pathfollowing control of an AUV [J]. Oceanic Engineering,2007, 34(11/12): 1734-1744.
[6] DO K D, PAN J, JIANG Z P. Robust and adaptive path following for underactuated autonomous underwater vehicles [J]. Ocean Engineering, 2004,31(16): 1967-1997.
[7] SUBUDHI B, MUKHERJEE K, Ghosh S. A static output feedback control design for path following of autonomous underwater vehicle in vertical plane [J].Ocean Engineering, 2013, 63(5): 72-76.
[8] NIE W B, FENG S S. Planar path-following tracking control for an autonomous underwater vehicle in the horizontal plane [J]. Optik-International Journal for Light and Electron Optics, 2016, 127(24): 11607-11616.
[9] LIANG X, QU X R, HOU Y H, et al. Threedimensional path following control of underactuated autonomous underwater vehicle based on damping backstepping [J]. International Journal of Advanced Robot Systems, 2017, 14(4): 1-9.
[10] LIANG X, QU X R, WAN L, et al. Three-dimensional path following of an underactuated AUV based on fuzzy backstepping sliding mode control [J]. International Journal of Fuzzy Systems, 2018, 20(2): 640-649.
[11] QU Y H, XIAO B, FU Z Z, et al. Trajectory exponential tracking control of unmanned surface ships with external disturbance and system uncertainties [J]. ISA Transactions, 2018, 78: 47-55.
[12] WANG N, QIAN C J, SUN J C, et al. Adaptive robust finite-time trajectory tracking control of fully actuated marine surface vehicles [J]. IEEE Transactions on Control Systems Technology, 2016, 24(4): 1454-1462.
[13] ELMOKADEM T, ZRIBI M, YOUCEF-TOUMI K. Terminal sliding mode control for the trajectory tracking of underactuated autonomous underwater vehicles[J]. Ocean Engineering, 2017, 129: 613-625.
[14] YU C Y, XIANG X B, ZHANG Q, et al. Adaptive fuzzy trajectory tracking control of an underactuated autonomous underwater vehicle subject to actuator saturation [J]. International Journal of Fuzzy Systems,2017, 20(1): 269-279.
[15] XU J, WANG M, QIAO L. Dynamical sliding mode control for the trajectory tracking of underactuated unmanned underwater vehicles [J]. Ocean Engineering,2015, 105: 54-63.
[16] REZAZADEGAN F, SHEIKHOLESLAM F, SHOJAEI K, et al. A novel approach to 6-DOF adaptive trajectory tracking control of an AUV in the presence of parameter uncertainties [J]. Ocean Engineering, 2015, 107: 246-258.
[17] LONDHE P S, PATRE B M. Adaptive fuzzy sliding mode control for robust trajectory tracking control of an autonomous underwater vehicle [J]. Intelligent Service Robotics, 2019, 12(1): 87-102.
[18] QIAO L, YI BW,WU D F, et al. Design of three exponentially convergent robust controllers for the trajectory tracking of autonomous underwater vehicles [J].Ocean Engineering, 2017, 134: 157-172.
[19] KARKOUB M, WU H M, HWANG C L. Nonlinear trajectory-tracking control of an autonomous underwater vehicle [J]. Ocean Engineering, 2017, 145: 188-198.
[20] LIANG X, QU X R, HOU Y H, et al. Threedimensional trajectory tracking control of an underactuated autonomous underwater vehicle based on ocean current observer [J]. International Journal of Advanced Robotic Systems, 2018: 1-9.
[21] CUI R X, ZHANG X, CUI D. Adaptive sliding-mode attitude control for autonomous underwater vehicles with input nonlinearities [J]. Ocean Engineering, 2016,123: 45-54.
[22] YU C Y, XIANG X B, LAPIERRE L, et al. Nonlinear guidance and fuzzy control for three-dimensional path following of an underactuated autonomous underwater vehicle [J]. Ocean Engineering, 2017, 146: 457-467.
[23] CHU Z Z, XIANG X B, ZHU D Q, et al. Adaptive fuzzy sliding mode diving control for autonomous underwater vehicle with input constraint [J]. International Journal of Fuzzy Systems, 2018, 20(5): 1460-1469.
