A three-dimensional stabilization problem for underactuated autonomous underwater vehicles (AUVs)
is addressed in this paper. A novel coordinate transformation form consisting of state modifications and input
transformations is introduced such that the whole system is divided into two decoupled one-order subsystems.
Some switching functions are presented to further decouple the underactuated dynamics and to produce persis tently exciting (PE) signals for those underactuated states. Based on the aforementioned results, a quite simple
control law is designed to achieve global three-dimensional asymptotic convergence of all states of underactuated
AUVs. Comparative simulations are carried out to validate the effectiveness and performance of the proposed
control scheme.
FANG Haolin (房浩霖), ZHANG Jiawen (张家闻), LI Jiawang∗ (李家旺)
. Switched Three-Dimensional Decoupling Stabilization of
Underactuated Autonomous Underwater Vehicles[J]. Journal of Shanghai Jiaotong University(Science), 2022
, 27(3)
: 383
-392
.
DOI: 10.1007/s12204-022-2446-1
[1] FOSSEN T I. Handbook of marine craft hydrodynamics and motion control [M]. Chichester: John Wiley & Sons, Ltd, 2011.
[2] BROCKETT R W. Differential geometric control theory [M]. Boston, MA: Birkh?user, 1983.
[3] PETTERSEN K Y, EGELAND O. Exponential stabilization of an underactuated surface vessel [J]. Modeling, Identification and Control: A Norwegian Research Bulletin, 1997, 18(3): 239-248.
[4] MAZENC F, PETTERSEN K, NIJMEIJER H. Global uniform asymptotic stabilization of an underactuated surface vessel [J]. IEEE Transactions on Automatic Control, 2002, 47(10): 1759-1762.
[5] DONG W J, GUO Y. Global time-varying stabilization of underactuated surface vessel [J]. IEEE Transactions on Automatic Control, 2005, 50(6): 859-864.
[6] MA B L. Global κ-exponential asymptotic stabilization of underactuated surface vessels [J]. Systems & Control Letters, 2009, 58(3): 194-201.
[7] XIE W J, MA B L, FERNANDO T, et al. A simple robust control for global asymptotic position stabilization of underactuated surface vessels [J]. International Journal of Robust and Nonlinear Control, 2017, 27(18): 5028-5043.
[8] DI Q, ZHOU J Y, F ANG K, et al. Global stabilization of underactuated asymmetric AUVs with unknown model parameters [J]. Acta Armamentarii, 2020, 41(5): 950-957 (in Chinese).
[9] AGUIAR A P, HESPANHA J P, PASCOAL A M. Switched seesaw control for the stabilization of underactuated vehicles [J]. Automatica, 2007, 43(12): 19972008.
[10] PANAGOU D, KYRIAKOPOULOS K J. Dynamic positioning for an underactuated marine vehicle using hybrid control [J]. International Journal of Control, 2014, 87(2): 264-280.
[11] DONG Z P, W AN L, LI Y M, et al. Point stabilization for an underactuated AUV in the presence of ocean currents [J]. International Journal of Advanced Robotic Systems, 2015, 12(7): 100.
[12] LIN X G, NIE J, JIAO Y Z, et al. Adaptive fuzzy output feedback stabilization control for the underactuated surface vessel [J]. Applied Ocean Research, 2018, 74: 40-48.
[13] PETTERSEN K Y, EGELAND O. Time-varying exponential stabilization of the position and attitude of an underactuated autonomous underwater vehicle [J]. IEEE Transactions on Automatic Control, 1999, 44(1): 112-115.
[14] WU Q, LI Y. Stabilization design of underactuated AUV based on quaternion [J]. CAAI Transactions on Intelligent Systems, 2014, 9(2): 186-191 (in Chinese).
[15] LI H P, YAN W S. Model predictive stabilization of constrained underactuated autonomous underwater vehicles with guaranteed feasibility and stability [J]. IEEE/ASME Transactions on Mechatronics, 2017, 22(3): 1185-1194.
[16] LI Y M, LI Y, WU Q. Design for three-dimensional stabilization control of underactuated autonomous underwater vehicles [J]. Ocean Engineering, 2018, 150: 327-336.
[17] NIU H J, GENG Z Y. Stabilisation of a relative equilibrium of an underactuated AUV on SE(3) [J]. International Journal of Control, 2019, 92(8): 1883-1902.
[18] NIU H J, GENG Z Y. Stabilization of a relative equilibrium for an underactuated AUV with disturbances rejection [J]. IEEE Access, 2019, 7: 5834-5845.
[19] HUANG H T, ZHOU J Y, DI Q, et al. Threedimensional trajectory tracking control of underactuated autonomous underwater vehicles with input saturation [J]. Journal of Shanghai Jiao Tong University (Science), 2020, 25(4): 470-477.
[20] F ANG K, F ANG H L, ZHANG J W, et al. Neural adaptive output feedback tracking control of underactuated AUVs [J]. Ocean Engineering, 2021, 234: 109211.
[21] BHAT S P, BERNSTEIN D S. Continuous finite-time stabilization of the translational and rotational double integrators [J]. IEEE Transactions on Automatic Control, 1998, 43(5): 678-682.