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Citation:
 Hongmin Niu,Shiquan Zhao,Cristina I. Muresan,et al.Enhanced Fractional-Order Nonsingular Terminal Sliding Mode Control for Fully Submerged Hydrofoil Craft with Actuator Saturation[J].Journal of Marine Science and Application,2025,(6):1264-1278.[doi:10.1007/s11804-025-00639-y]
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Enhanced Fractional-Order Nonsingular Terminal Sliding Mode Control for Fully Submerged Hydrofoil Craft with Actuator Saturation

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Title:
Enhanced Fractional-Order Nonsingular Terminal Sliding Mode Control for Fully Submerged Hydrofoil Craft with Actuator Saturation
Author(s):
Hongmin Niu1 Shiquan Zhao2 Cristina I. Muresan3 Clara Mihaela Ionescu45
Affilations:
Author(s):
Hongmin Niu1 Shiquan Zhao2 Cristina I. Muresan3 Clara Mihaela Ionescu45
1. School of Electronics and Control Engineering, Chang’an University, Xi’an, 710064, China;
2. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China;
3. Department of Automation, Technical University of Cluj-Napoca, Cluj-Napoca, 400114, Romania;
4. Research Group on Dynamical Systems and Control, Faculty of Engineering and Architecture, Ghent University, Gent, 9052, Belgium;
5. Flanders Make Core Lab Engineering in Machineries, Intelligence, Robotics and Electromechanics, Gent, 9052, Belgium
Keywords:
Fully submerged hydrofoil craftLongitudinal motion controlFractional-order terminal sliding mode controlDisturbance observerSaturation compensation
分类号:
-
DOI:
10.1007/s11804-025-00639-y
Abstract:
This study introduces an enhanced adaptive fractional-order nonsingular terminal sliding mode controller (AFONTSMC) tailored for stabilizing a fully submerged hydrofoil craft (FSHC) under external disturbances, model uncertainties, and actuator saturation. A novel nonlinear disturbance observer modified by fractional-order calculus is proposed for flexible and less conservative estimation of lumped disturbances. An enhanced adaptive fractional-order nonsingular sliding mode scheme augmented by disturbance estimation is also introduced to improve disturbance rejection. This controller design only necessitates surpassing the estimation error rather than adhering strictly to the disturbance upper bound. Additionally, an adaptive fast-reaching law with a hyperbolic tangent function is incorporated to enhance the responsiveness and convergence rates of the controller, thereby reducing chattering. Furthermore, an auxiliary actuator compensator is developed to address saturation effects. The resultant closed system of the FSHC with the designed controller is globally asymptotically stable.

References:

[1] Alipour M, Malekzadeh M, Ariaei A (2022) Practical fractional-order nonsingular terminal sliding mode control of spacecraft. ISA Transactions 128: 162-173. DOI: 10.1016/j.isatra.2021.10.022
[2] Chak YC, Varatharajoo R, Razoumny Y (2017) Disturbance observer-based fuzzy control for flexible spacecraft combined attitude & sun tracking system. Acta Astronautica 133: 302-310. DOI: 10.1016/j.actaastro.2016.12.028
[3] Chen M, Ge SS, Choo YS (2009) Neural network tracking control of ocean surface vessels with input saturation. IEEE International Conference on Automation and Logistics (ICAL), Shenyang, China, 85-89. DOI: 10.1109/ICAL.2009.5262972
[4] Chen M, Ge SS, Ren BB (2011) Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica 47(3): 452-465. DOI: 10.1016/j.automatica.2011.01.025
[5] Deng YJ, Zhang XK, Im N, Liang CL (2020) Compound learning tracking control of a switched fully-submerged hydrofoil craft. Ocean Engineering 219: 108260. DOI: 10.1016/j.oceaneng.2020.108260
[6] Elmokadem T, Zribi M, Youcef-Toumi K (2016) Terminal sliding mode control for the trajectory tracking of underactuated autonomous underwater vehicles. Ocean Engineering 129: 613-625. DOI: 10.1016/j.oceaneng.2016.10.032
[7] Fossen TI (1994) Guidance and control of ocean vehicles. Wiley, New York, USA
[8] He HK, Wang N, Huang DZ, Han B (2024) Active vision-based finite-time trajectory-tracking control of an unmanned surface vehicle without direct position measurements. IEEE Transactions on Intelligent Transportation Systems 25(9): 12151-12162. DOI: 10.1109/TITS.2024.3364770
[9] Hu CD, Wu DF, Liao YX, Hu X (2021) Sliding mode control unified with the uncertainty and disturbance estimator for dynamically positioned vessels subjected to uncertainties and unknown disturbances. Applied Ocean Research 109: 102564. DOI: 10.1016/j.apor.2021.102564
[10] Hu TS, Lin ZL, Chen BM (2002) An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica 38(2): 351-359. DOI: 10.1016/S0005-1098(01)00209-6
[11] Hua CC, Chen JN, Guan XP (2019) Fractional-order sliding mode control of uncertain QUAVs with time-varying state constraints. Nonlinear Dynamics 95(2): 1347-1360. DOI: 10.1007/s11071-018-4632-0
[12] Ionescu C, Muresan C (2015) Sliding mode control for a class of subsystems with fractional order varying trajectory dynamics. Fractional Calculus and Applied Analysis 18(6): 1441-1451. DOI: 10.1515/fca-2015-0083
[13] Ionescu CM, Dulf EH, Ghita M, Muresan CI (2020) Robust controller design: Recent emerging concepts for control of mechatronic systems. Journal of the Franklin Institute-Engineering and Applied Mathematics 357(12): 7818-7844. DOI: 10.1016/j.jfranklin.2020.05.046
[14] Kim SH, Yamato H (2002) A study on longitudinal control system for fully-submerged hydrofoil based on optimal preview servo system. Proceedings of ISOPE Pacific/Asia Offshore Mechanics Symposium, Daejeon, Korea, 159-164
[15] Kim SH, Yamato H (2004) An experimental study of the longitudinal motion control of a fully submerged hydrofoil model in following seas. Ocean Engineering 31(5): 523-537. DOI: 10.1016/j.oceaneng.2003.10.003
[16] Labbadi M, Defoort M, Incremona GP, Djemai M (2023) Fractional-order integral terminal sliding-mode control for perturbed nonlinear systems with application to quadrotors. International Journal of Robust and Nonlinear Control 33(17): 10278-10303. DOI: 10.1002/rnc.6608
[17] Li HY, Yu JY, Hilton C, Liu HH (2013) Adaptive sliding-mode control for nonlinear active suspension vehicle systems using T - S fuzzy approach. IEEE Transactions on Industrial Electronics 60(8): 3328-3338. DOI: 10.1109/TIE.2012.2202354
[18] Li WH, Sun YQ, Chen HQ, Wang G (2016) Model predictive controller design for ship dynamic positioning system based on state-space equations. Journal of Marine Science & Technology 22(3): 426-431. DOI: 10.1007/s00773-016-0425-7
[19] Liu HD, Fu YX, Li B (2022) Study of the LQRY-SMC control method for the longitudinal motion of fully submerged hydrofoil crafts. Journal of Marine Science and Engineering 10(10): 1390. DOI: 10.3390/jmse10101390
[20] Liu S, Niu HM, Zhang LY, Guo XJ (2019a) Adaptive compound second order terminal sliding mode control for the longitudinal attitude control of the fully submerged hydrofoil vessel. 12 12: 1-13. DOI: 10.1177/1687814019895637
[21] Liu S, Niu HM, Zhang LY, Xu CK (2019b) Modified adaptive complementary sliding mode control for the longitudinal motion stabilization of the fully-submerged hydrofoil craft. International Journal of Naval Architecture and Ocean Engineering 11(1): 584-596. DOI: 10.1016/j.ijnaoe.2018.10.003
[22] Liu S, Xu CK, Zhang LY (2017) Robust course keeping control of a fully submerged hydrofoil vessel with actuator dynamics: A singular perturbation approach. Mathematical Problems in Engineering 2017: 1-14. DOI: 10.1155/2017/6402012
[23] Lungu MH (2020) Control of double gimbal control moment gyro systems using the backstepping control method and a nonlinear disturbance observer. Acta Astronautica 180: 639-649. DOI: 10.1016/j.actaastro.2020.10.040
[24] Melicio R, Mendes VMF, Catalao JPS (2010) Fractional-order control and simulation of wind energy systems with PMSG/full-power converter topology. Energy Conversion & Management 51(6): 1250-1258. DOI: 10.1016/j.enconman.2009.12.036
[25] Mohammadi A, Tavakoli M, Marquez HJ, Hashemzadeh F (2013) Nonlinear disturbance observer design for robotic manipulators. Control Engineering Practice 21(3): 253-267. DOI: 10.1016/J.CONENGPRAC.2012.10.008
[26] Mujumdar A, Tamhane B, Kurode S (2015) Observer-based sliding mode control for a class of noncommensurate fractional-order systems. IEEE/ASME Transactions on Mechatronics 20(5): 2504-2512. DOI10.1109/TMECH.2014.2386914
[27] Ni JK, Liu L, Liu CX, Hu XY (2017) Fractional order fixed-time nonsingular terminal sliding mode synchronization and control of fractional order chaotic systems. Nonlinear Dynamics 89(3): 2065-2083
[28] Niu HM, Liu S (2024) Combined cubature kalman and smooth variable structure filtering based on multi-kernel maximum correntropy criterion for the fully submerged hydrofoil craft. Applied Sciences-Basel. 14(9): DOI: 10.3390/app14093952
[29] Ren JS, Yang YS (2005) Controller design of hydrofoil catamaran with dynamical output-feedback H scheme. Journal of Traffic and Transportation Engineering 5(1): 45-48
[30] Ren JS, Yang YS, Zheng YF, Li TS (2005) Fuzzy model-based robust controller design for hydrofoil catamaran. American Control Conference 2005: 4339-4344
[31] Saqib NU, Rehan M, Hussain M, Zheng ZW (2019) Observer-based anti-windup compensator design for nonlinear systems. Journal of the Franklin Institute 356(18): 11364-11384. DOI: 10.1016/j.jfranklin.2019.01.056
[32] Sun GH, Ma ZQ (2017) Practical tracking control of linear motor with adaptive fractional order terminal sliding mode control. IEEE/ASME Transactions on Mechatronics 22(6): 2643-2653. DOI: 10.1109/TMECH.2017.2766279
[33] Sun GH, Wu LG, Liu JX (2018) Practical tracking control of linear motor via fractional-order sliding mode. Automatica 94: 221-235. DOI: 10.1016/j.automatica.2018.02.011
[34] Tarbouriech S, Turner M (2009) Anti-windup design: an overview of some recent advances and open problems. IET Control Theory and Applications 3(1): 1-19. DOI: 10.1049/iet-cta:20070435
[35] Tran MD, Kang HJ (2016) Adaptive terminal sliding mode control of uncertain robotic manipulators based on local approximation of a dynamic system. Neurocomputing 228: 231-240. DOI: 10.1016/j.neucom.2016.09.089
[36] Tyan F, Bernstein DS (2010) Anti-windup compensator synthesis for systems with saturation actuators. International Journal of Robust & Nonlinear Control 5: 521-537
[37] Wang N, Song JL, Dong Q (2024) Structural design of a wave-adaptive unmanned quadramaran with independent suspension. IEEE Transactions on Intelligent Transportation Systems 25(9): 12395-12406. DOI: 10.1109/TITS.2024.3375278
[38] Wang N, Zhang YH, Ahn CK, Xu QY (2022) Autonomous pilot of unmanned surface vehicles: bridging path planning and tracking. IEEE Transactions on Vehicular Technology 71(3): 2358-2374. DOI: 10.1109/TVT.2021.3136670
[39] Wang YJ, Zhao R, Zuo ZQ, Guan SY, Li HC (2021) Event-triggered dynamic anti-windup augmentation for saturated systems. International Journal of Systems Science 51(1): 196-216. DOI: 10.1080/00207721.2020.1823519
[40] Wang YY, Luo GS, Gu LY, Li XD (2016) Fractional-order nonsingular terminal sliding mode control of hydraulic manipulators using time delay estimation. Journal of Vibration and Control 22(19): 3998-4011. DOI: 10.1177/1077546315569518
[41] Wu GX, Ding Y, Tahsin T, Atilla I (2023) Adaptive neural network and extended state observer-based non-singular terminal sliding modetracking control for an underactuated USV with unknown uncertainties. Applied Ocean Research 135: 103560. DOI: 10.1016/j.apor.2023.103560
[42] Wu XR, Huang YY (2021) Adaptive fractional-order non-singular terminal sliding mode control based on fuzzy wavelet neural networks for omnidirectional mobile robot manipulator. ISA Transactions 121: 258-267. DOI: 10.1016/j.isatra.2021.03.035
[43] Yang YN, Yan Y (2016) Neural network approximation-based nonsingular terminal sliding mode control for trajectory tracking of robotic airships. Aerospace Science and Technology 54: 192-197. DOI: 10.1016/j.ast.2016.04.021
[44] Yin C, Chen YQ, Zhong SM (2014) Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems. Automatica 50(12): 3173-3181. DOI: 10.1016/j.automatica.2014.10.027
[45] Yu ZQ, Zhang YM, Jiang B, Fu J, Jin Y, Chai TY (2020) Composite adaptive disturbance observer-based decentralized fractional-order fault-tolerant control of networked UAVs. IEEE Transactions on Systems Man Cybernetics-Systems 52(2): 799-813. DOI: 10.1109/TSMC.2020.3010678
[46] Zhang XK (2016) Robust control of longitudinal motion for hydrofoils based on nonlinear feedback. Navigation of China 39(1): 60-63, 73

Memo

Memo:
Received date:2024-5-24;Accepted date:2024-11-23。<br>Foundation item:Supported by Natural Science Basic Research Program of Shaanxi under Grant No. 2023-JC-QN-0751, No. 2023-JC-QN-0778; Fundamental Research Funds for the Central Universities, CHD under Grant No. 300102324102; the National Natural Science Foundation of China under Grant Nos. 72471035, 52271313; Fundamental Research Funds for the Central Universities under Grant No. XK2040021004025.<br>Corresponding author:Hongmin Niu,E-mail:niuhongmin@chd.edu.cn
Last Update: 2025-12-26