Wave-induced ship motions profoundly impact and even threaten the operational effectiveness of ship-mounted equipment. To compensate for the wave-induced ship motions in heave, roll, and pitch directions, this paper proposes an innovative drive scheme and stabilization control algorithm for a ship-mounted 3-SPS/U parallel platform, while accounting for model and parameter uncertainties. Specifically, a dual-valve parallel hydraulic system is employed to drive the platform, enhancing its driving capability and engineering applicability. Furthermore, using the Kane’s method, a comprehensive non-inertial dynamics model is established in the task space, accounting for the influence of inertial forces on the platform. Based on it, by constructing a detailed mechanical-hydraulic model, a novel observer-based adaptive robust scheme is designed using the backstepping method. Specifically, the high-performance nonlinear observer is designed to simplify and solve the complex multi-parameter uncertainties problem in the multi-input non-inertial dynamics model, and the adaptive robust controller is designed to handle the unknown proportional valve dead-zone problem and other nonlinearities, ensuring precise control. The stability of the system is verified through the Lyapunov method, with co-simulation results corroborating the superior compensation performance of the proposed methodology.
CaiYZhengSLiuW, et al. (2021a) Adaptive robust dual-loop control scheme of ship-mounted Stewart platforms for wave compensation. Mechanism and Machine Theory164: 104406.
2.
CaiYZhengSLiuW, et al. (2021b) Sliding-mode control of ship-mounted Stewart platforms for wave compensation using velocity feedforward. Ocean Engineering236: 109477.
3.
FossenT (2011) Handbook of Marine Craft Hydrodynamics and Motion Control. Chichester: John Wiley & Sons.
4.
FromPJDuindamVGravdahlJT, et al. (2009) Modeling and motion planning for mechanisms on a non-inertial base. In: 2009 IEEE international conference on robotics and automation, Kobe, Japan, pp. 3320–3326. New York: IEEE.
5.
HeJFJiangHZCongDC, et al. (2007) A survey on control of parallel manipulator. Key Engineering Materials339: 307–313.
6.
HeYWuYLiW (2022) Sliding mode control for offshore parallel antenna platform with large orientation workspace. ISA Transactions128: 90–108.
7.
HelianBChenZYaoB, et al. (2021) Accurate motion control of a direct-drive hydraulic system with an adaptive nonlinear pump flow compensation. IEEE/ASME Transactions on Mechatronics26(5): 2593–2603.
8.
HuHZhangQFangJ, et al. (2024) Practical adaptive robust tracking control of the dual-valve parallel electro-hydraulic servo system with reduced-order model. Transactions of the Institute of Measurement and Control46(3): 501–512.
9.
JaouenFVan Den BergJVan Der SchaafH, et al. (2012) How does Barge-Master compensate for the barge motions: Experimental and numerical study. In: Volume 1: Offshore technology, Rio de Janeiro, Brazil, 1 July, pp. 35–46. New York: American Society of Mechanical Engineers.
10.
Lan-yongZAnCYi-xuanD, et al. (2015) Multivariable fuzzy genetic controller for stabilized platform. In: 2015 34th Chinese Control Conference (CCC), Hangzhou, China, July, pp. 783–788. New York: IEEE.
11.
LiuSPengGGaoH (2019) Dynamic modeling and terminal sliding mode control of a 3-DOF redundantly actuated parallel platform. Mechatronics60: 26–33.
12.
LiuWDuJLiJ, et al. (2022) Stabilization control of 3-DOF parallel vessel-borne platform with dynamic uncertainties and unknown disturbances. Applied Ocean Research126: 103271.
13.
LuBFangYSunN, et al. (2018) Antiswing control of offshore boom cranes with ship roll disturbances. IEEE Transactions on Control Systems Technology26(2): 740–747.
14.
MerrittH (1967) Hydraulic Control Systems. New York: John Wiley & Sons.
15.
QianYFangYLuB (2019) Adaptive robust tracking control for an offshore ship-mounted crane subject to unmatched sea wave disturbances. Mechanical Systems and Signal Processing114: 556–570.
16.
QiangHJinSFengX, et al. (2020) Model predictive control of a shipborne hydraulic parallel stabilized platform based on ship motion prediction. IEEE Access8: 181880–181892.
17.
QuJXiaYShiY, et al. (2020) Modified ADRC for inertial stabilized platform with corrected disturbance compensation and improved speed observer. IEEE Access8: 157703–157716.
18.
SaidLShengLFaroukN, et al. (2012) Modeling, design and control of a ship carried 3 DOF stabilized platform. Research Journal of Applied Sciences, Engineering and Technology4(19): 3843–3851.
19.
SongJWangY-KNiuY, et al. (2022) Periodic event-triggered terminal sliding mode speed control for networked PMSM system: A GA-optimized extended state observer approach. IEEE/ASME Transactions on Mechatronics27(5): 4153–4164.
20.
SongJZhouSNiuY, et al. (2023) Antidisturbance control for hidden Markovian jump systems: Asynchronous disturbance observer approach. IEEE Transactions on Automatic Control68(11): 6982–6989.
21.
TianWZhangXLvD, et al. (2022) Sliding mode control strategy of 3-UPS/S shipborne stable platform with LSTM neural network prediction. Ocean Engineering265: 112497.
22.
WangCZhaoTZhangJ, et al. (2022) A novel motion planning algorithm for a three DoF foldable parallel compensation platform based on prediction and B-spline. Ocean Engineering266: 112876.
23.
WangLGouFLuW, et al. (2020) Non-inertial system dynamic modeling of 3UPS/S ship stability platform. Journal of Mechanical Engineering56: 20–29.
24.
WangTWeiJZhangQ, et al. (2023a) Disturbance observer-based nonlinear motion control of the parallel platform for wave compensation. In: ASME/BATH 2023 symposium on fluid power and motion control, Sarasota, FL, 16 October, p. V001T01A043. New York: American Society of Mechanical Engineers.
25.
WangTZhangQFangJ, et al. (2023b) Harmonic and synchronous compound control of a dual-valve controlled single-rod electro-hydraulic actuator. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering237: 1838–1852.
26.
WangTZhangQFangJ, et al. (2024) Active fault-tolerant control for the dual-valve hydraulic system with unknown dead-zone. ISA Transactions145: 399–411.
27.
XinHRuiWYongchaoL, et al. (2015) Dynamic matrix control for dynamic positioning system of ships. In: 2015 34th Chinese Control Conference (CCC), Kunming, China, July, pp. 1008–1013. New York: IEEE.
28.
XuBSuQZhangJ, et al. (2017) Analysis and compensation for the cascade dead-zones in the proportional control valve. ISA Transactions66: 393–403.
29.
ZhangMGuanYZhaoW (2019) Adaptive super-twisting sliding mode control for stabilization platform of laser seeker based on extended state observer. Optik199: 163337.
30.
ZhaoTWangCLiuX, et al. (2016) Stiffness and singularity analysis of foldable parallel mechanism for ship-based stabilized platform. Robotica34(4): 913–924.
31.
ZhaoYGaoF (2009) Dynamic formulation and performance evaluation of the redundant parallel manipulator. Robotics and Computer-Integrated Manufacturing25(4–5): 770–781.
32.
ZhouJWenCZhangY (2006) Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity. IEEE Transactions on Automatic Control51(3): 504–511.
