Abstract
The problem of diving control for an underactuated unmanned undersea vehicle (UUV) considering the presence of parameters perturbations and wave disturbances was addressesed. The vertical motion of an UUV was divided into two noninteracting subsystems for surge velocity control and diving. To stabilize the vertical motion system, the surge velocity and the depth control controllers were proposed using backstepping technology and an integral-fast terminal sliding mode control (IFTSMC). It is proven that the proposed control scheme can guarantee that all the error signals in the whole closed-loop system globally converge to the sliding surface in finite time and asymptotically converge to the origin along the sliding surface. With a unified control parameters for different motion states, a series of numerical simulation results illustrate the effectiveness of the above designed control scheme, which also shows strong robustness against parameters perturbations and wave disturbances.
Similar content being viewed by others
References
FOSSEN T I. Guidance and control of ocean vehicles [M]. 1st ed. New York, USA: John Wiley and Sons Ltd, 1994: 1–56.
FOSSEN T I. Marine control systems: guidance, navigation, and control of ships, rigs and underwater vehicles [M]. Tiller, Norway: Marine Cybernetics, 2002: 1–48.
FOSSEN T I. Handbook of marine craft hydrodynamics and motion control [M]. 1st ed. New York, USA: John Wiley and Sons Ltd, 2011: 133–186.
ANTONELLI G. Underwater robots: Motion and force control of vehicle-manipulator systems [M]. Berlin, Germany: Springer Verlag, 2010: 1–44.
DO K D, PAN J. Control of ships and underwater vehicles: Design for underactuated and nonlinear marine systems [M]. London, UK: Springer Verlag, 2012: 295–338.
YUH J. Design and control of autonomous underwater robots: A survey [J]. Autonomous Robots, 2000, 8(1):7–24.
BROCKETT R W. Asymptotic stability and feedback stabilization: Differential geometric control theory [M]. Boston, USA: Birkhauser, 1983: 181–191.
YOUNG S H. Forces and moments acting on a submersible moving beneath the free surface or near a wall [R]. Alexandria, Va: David W. Taylor Naval Ship Research and Development Center, 1987.
OLLER E D. Forces and moments due to unsteady motion of an underwater vehicle [D]. Cambridge, Massachusetts: Massachusetts Institute of Technology, 2003.
MA Cheng, LIAN Lian. Maneuvering control and simulation technology of underwater vehicle [M]. Beijing, China: National Defense Industry Press, 2009: 29–33. (in Chinese)
UENO M, TSUKADA Y, SAWADA H. A prototype of submersible surface ship and its hydrodynamic characteristics [J]. Ocean Engineering, 2011, 38(14/15): 1686–1695.
YUE Chun-feng, GUO Shu-xiang, SHI Li-wei. Hydrodynamic analysis of the spherical underwater robot SUR-II [J]. International Journal of Advanced Robotic Systems, 2013, 10: 1–12.
NEWMAN J N. Marine hydrodynamics [M]. Cambridge, Massachusetts, USA: Massachusetts Institute of Technology Press, 1977: 1–7.
MANDZUKA S. Mathematical model of a submarine dynamics at the periscope depth [J]. Journal of System Simulation, 1998, 46(2): 129–137.
MOREIRA L, SOARES C G. H 2 and H ∞ designs for diving and course control of an autonomous underwater vehicle in presence of waves [J]. IEEE Journal of Oceanic Engineering, 2008, 33(2): 69–88.
CRISTI R, PAPOULIAS F A, HEALEY A J. Adaptive sliding mode control of autonomous underwater vehicles in the dive plane [J]. IEEE Journal of Oceanic Engineering, 1990, 15(3): 152–160.
SILVESTRE C, PASCOAL A. Depth control of the INFANTE AUV using gain-scheduled reduced order output feedback [C]// Proceedings of the 16th IFAC World Congress. Czech Republic: IFAC, 2005: 91–96.
SILVESTRE C, PASCOAL A. Depth control of the INFANTE AUV using gain-scheduled reduced order output feedback [J]. Control Engineering Practice, 2007, 15(7): 883–895.
FENG Z, ALLEN R. Reduced Order H ∞ control of an autonomous underwater vehicle [J]. Control Engineering Practice, 2004, 12(12): 1511–1520.
LAPIERRE L. Robust diving control of an AUV [J]. Ocean Engineering, 2009, 36(1): 92–104.
NAIK M S, SINGH S N. State-dependent Riccati equation-based robust dive plane control of AUV with control constraints [J]. Ocean Engineering, 2007, 34(11/12): 1711–1723.
LI Ji-hong, LEE P M. Design of an adaptive nonlinear controller for depth control of an autonomous underwater vehicle [J]. Ocean Engineering, 2005, 32(17/18): 2165–2181.
JIA He-ming, ZHANG Li-jun, BIAN Xin-qian, YAN Zhe-ping, CHENG Xiang-qin, ZHOU Jia-jia. A nonlinear bottom-following controller for underactuated autonomous underactuated vehicles [J]. Journal of Central South University, 2012, 19(5): 1240–1248.
WANG Yao-yao, GU Lin-yi, GAO Ming, JIA Xian-jun, LIU Jun, ZHOU Dong-hui. Depth control of remotely operated vehicles using nonsingular fast terminal sliding mode control method [C]// Proceedings of OCEANS 2013 MTS/IEEE San Diego Conference: An Ocean in Common. San Diego, USA: IEEE, 2013: 1–6.
LAKHEKAR G V, SAUNDARMA L. Novel adaptive fuzzy sliding mode controller for depth control of an underwater vehicles [C]// Proceedings of IEEE International Conference on Fuzzy Systems 2013. Hyderabad, India: IEEE, 2013: 1–7.
UTKIN V I. Variable structure systems with sliding modes [J]. IEEE Transactions on Automatic Control, 1977, 22(2): 212–222.
UTKIN V I. Sliding mode control design principles and applications to electric drives [J]. IEEE Transactions on Industrial Electronics, 1993, 40(1): 23–36.
EDWARDS C, SPURGEON S K. Sliding mode control: Theory and applications [M]. New York, USA: Taylor & Francis, 1998: 1–18.
ZHANG Niao-na. Terminal sliding mode control theory and applications [M]. Beijing, China: Science Press, 2011: 1–14. (in Chinese)
ZAK M. Terminal attractors for addressable memory in neural networks [J]. Physics Letters A, 1988, 133(1/2): 18–22.
YU Xing-huo, MAN Zhi-hong. Fast terminal sliding-mode control design for nonlinear dynamical systems [J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2002, 49(2): 261–264.
FENG Yong, YU Xing-huo, MAN Zhi-hong. Non-singular terminal sliding-mode control of rigid manipulators [J]. Automatica, 2002, 38(12): 2159–2167.
YANG Jun, LI Shi-hua, YU Xing-huo. Sliding mode control for systems with mismatched uncertainties via a disturbance observer [J]. IEEE Transactions on Industrial Electronics, 2013, 60(1): 160–169.
YANG Jun, LI Shi-hua, SU Jin-ya, YU Xing-huo. Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances [J]. Automatica, 2013, 49(7): 2287–2291.
YANG Jun, SU Jin-ya, LI Shi-hua, YU Xing-huo. High-order mismatched disturbance compensation for motion control systems via a continuous dynamic sliding-mode approach [J]. IEEE Transactions on Industrial Informatics, 2014, 10(1): 604–614.
PETTERSEZN 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.
PIERSON W J, MOSKOWITZ L. A proposed spectral form for fully developed wind seas based on the similarity theory of S. A. Kitaigorodsku [R]. Mississippi, USA: Naval Oceanographic Office, US, 1969.
ABKOWITZ M A, MURDEY D C, GERRITSMA J, TASAI F, GOODRICH G J, WERMTER R, MATHEWS S T, YAMANOUCHI Y. Report of the seakeeping committee [C]// Proceedings of the 12th International Towing Tank Conference. Rome, Italy: ITTC, 1969: 813–821.
LICEAGA-CASTRO E, van der MOLEN G M. Submarine H ∞ depth control under wave disturbances [J]. IEEE Transactions on Control Systems Technology, 1995, 3(3): 338–346.
FALTINSEN O M. Sea loads on ships and offshore structures [M]. Cambridge, UK: Cambridge University Press, 1993: 131–256.
HUANG Xiang-qiang, LIN Wei, YANG Bo. Global finite-time stabilization of a class of uncertain nonlinear systems [J]. Automatica, 2005, 41(5): 881–888.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Projects (51179038, 51309067) supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Yan, Zp., Yu, Hm. & Hou, Sp. Diving control of underactuated unmanned undersea vehicle using integral-fast terminal sliding mode control. J. Cent. South Univ. 23, 1085–1094 (2016). https://doi.org/10.1007/s11771-016-0358-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-016-0358-7