本文研究了在环境扰动和执行器饱和影响下,受到状态约束的动力定位(Dynamic Positioning, DP)船的轨迹跟踪问题。首先,针对未知环境扰动的影响,构造了一种基于积分滑模和固定时间控制的连续固定时间扰动观测器(Fixed-time Disturbance Observer, FTDO)。其次,采用带辅助变量的抗饱和补偿器来处理指令控制力和实际控制力之间不一致的问题。再次,基于tan型障碍李雅普诺夫函数(Barrier Lyapunov Function, BLF)和神经网络(Radial Basis Function Neural Network, RBFNN)开发了一种具有状态约束的自适应控制律来跟踪期望轨迹。最后,通过仿真验证了提出的DP船观测器和控制器的有效性。
In this paper, the trajectory tracking problem of dynamic positioning (DP) ship subject to state constraints is studied under the influence of environmental disturbance and actuator saturation. Firstly, a fixed-time disturbance observer (FTDO) based on integral sliding mode and fixed time control is constructed to deal with the influence of unknown environment disturbance. Secondly, an anti-saturation compensator with auxiliary variables is used to deal with the inconsistency between the command control force and the actual control force. Third, based on the tan-type barrier Lyapunov function (BLF) and Radial Basis Function Neural Network (RBFNN) an adaptive control law with state constraints is proposed to track the desired trajectory. Finally, the effectiveness of the proposed DP ship observer and controller is verified by simulation.
2024,46(16): 43-50 收稿日期:2023-07-06
DOI:10.3404/j.issn.1672-7649.2024.16.008
分类号:U675.73
作者简介:范锦宇(1999 – ),男,硕士研究生,研究方向为无人船航行控制
参考文献:
[1] FOSSEN T I. Handbook of marine craft hydrodynamics and motion control[M]. John Wiley & Sons, 2011.
[2] WITKOWSKA A, MIERZCHALSKI R. Adaptive dynamic control allocation for dynamic positioning of marine vessel based on backstepping method and sequential quadratic programming[J]. Ocean Engineering, 2018, 163, 570–582.
[3] LU Y, ZHANG G, SUN Z, et al. Adaptive cooperative formation control of autonomous surface vessels with uncertain dynamics and external disturbances[J]. Ocean Engineering, 2018, 167: 36-44.
[4] LIANG K, LIN X G, CHEN Y, et al. Adaptive sliding mode output feedback control for dynamic positioning ships with input saturation[J]. Ocean Engineering, 2020, 206: 107245.
[5] LIU Yeye, LIN Xiaogong, LIANG Kun. Robust tracking control for dynamic positioning ships subject to dynamic safety constraints[J]. Ocean Engineering, 15 (2), 1–8.
[6] CHU Z, XIANG X, ZHU D, et al. Adaptive trajectory tracking control for remotely operated vehicles considering thruster dynamics and saturation constraints[J]. ISA Trans, 2020, 100, 28–37.
[7] HE W, YIN Z, SUN C Y. Adaptive neural network control of a marine vessel with constraints using the asymmetric barrier Lyapunov function[C]// IEEE Trans. Cybern, 2017, 47 (7), 1641–1651.
[8] HU Q, JIANG B, ZHANG Y. Observer-based output feedback attitude stabilization for spacecraft with finite-time convergence[C]// IEEE Transactions on Control Systems Technology PP, 2017, 1–9.
[9] DU J, HU X, SUN Y. Robust dynamic positioning of ships with disturbances under input saturation[J]. Automatica, 2016, 73, 207–214.
[10] ABDELAAL M, FR?NZLE M, HAHN A. Nonlinear model predictive control for tra-jectory tracking and collision avoidance of underactuated vessels with disturbances[J]. Ocean Engineering, 2018, 160, 168–180.
[11] DU J, HU X, LIU H, et al. Adaptive robust output feedback control for a marine dynamic positioning system based on a high-gain observer[C]// IEEE Trans. Neural Netw. Learn. Syst, 2015, 26 (11): 2775–2786.
[12] YIN Z, HE W, YANG C. G. Tracking control of a marine surface vessel with full-state constraints[J]. Int. J. Syst. Sci, 2017, 48(3): 535–546
[13] ZHENG Z. W, SUN L, XIE L. H. Error-constrained LOS path following of a surface vessel with actuator saturation and faults[C]// IEEE Trans. Syst. Man Cybern. -Syst, 2017, 48(10), 1794–1805 .
[14] WANG D, GE S S, FU M, et al. Bioinspired neurodynamics based formation control for unmanned surface vehicles with line-of-sight range and angle constraints[J]. Neurocomputing, 2021, 425, 127–134.
[15] YANG H, DENG F, HE Y, et al. Robust nonlinear model predictive control for reference tracking of dynamic positioning ships based on nonlinear disturbance observer[J]. Ocean Engineering, 2020, 215, 107885.
[16] ZHENG Z, HUANG Y, XIE L, et al. Adaptive trajectory tracking control of a fully actuated surface vessel with asymmetrically constrained input and output[C]// IEEE Trans. Control Syst. Technol, 2017, 26 (5), 1851–1859.
[17] ZHENG Z. W, FEROSKHAN M. Path following of a surface vessel with prescribed performance in the presence of input saturation and external disturbances, IEEE-ASME Trans[J]. Mechatron, 2017, 22 (6), 2564–2575 .
[18] PARK B S. A simple output-feedback control for trajectory tracking of underactuated surface vessels[J]. Ocean Engineering, 2017, 143, 133–139.
[19] CHEN M, GE S S, REN B. Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints[J]. Automatica, 2011, 47 (3), 452–465.
[20] S?RENSEN A. A survey of dynamic positioning control systems[J]. Annual Reviews in Control, 2011, 35, 123–136.
[21] JOHANSEN T A, FOSSEN T I. Control allocationa survey[J]. Automatica, 2013, 49, 1087–1103.
[22] XU S, WANG X, YANG J, et al. A fuzzy rule-based pid controller for dynamic positioning of vessels in variable environmental disturbances[J]. Journal of Marine Science and Technology, 2020, 914–924.
[23] ZHENG Z, FEROSKHAN M, SUN L. Adaptive fixed-time trajectory tracking control of a stratospheric airship[J]. ISA Transactions, 2018, 76, 134–144.
[24] ZUO Z. Nonsingular fixed-time consensus tracking for second-order multi-agent networks[J]. Automatica, 2015, 54, 305–309.
[25] KAYACAN E, PARK S, RATTI C, et al. Learning-based Nonlinear Model Predictive Control of Reconfigurable Autonomous Robotic Boats: Roboats[C]//2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2019: 8230–8237.
[26] FOSSEN T I. Handbook of marine craft hydrodynamics and motion control[M]. John Wiley & Sons, 2011.306–306
[27] 赵向涛, 阎妍, 于双和, 等. 基于屏障函数的船舶自适应控制[J]. 江苏大学学报(自然科版), 2021, 42(06): 715-720.
[28] HE W, YIN Z, SUN C. Adaptive neural network control of a marine vessel with constraints using the asymmetric barrier Lyapunov function. IEEE Trans[J]. Cybern, 2016, 47 (7), 1641–1651.
[29] WU G, MENG X. Nonlinear disturbance observer based robust backstepping control for a flexible air-breathing hypersonic vehicle[J]. Aerospace Science and Technology, 2016, 54, 174–182.