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Vibration suppression method for space-flexible manipulator using fuzzy compensation sliding mode controller |
SHANG Dongyang1, LI Xiaopeng1, YIN Meng2, LI Fanjie1, ZHOU Sainan1 |
1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China;
2. Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China |
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Abstract Space-flexible manipulators can be installed on the space station to assist astronauts in on-orbit maintenance, spacecraft rendezvous as well as docking, and space junk capture. Because of its slender structure, the space-flexible manipulator will vibrate in the process of moving, which will affect the operation's precision and flight safety. In order to reduce the vibration of space-flexible manipulators, fuzzy compensation sliding mode control strategy is proposed to control the rotating motion of space-flexible manipulators. The vibration is weakened indirectly by improving the rotation control precision of space-flexible manipulators. In this paper, the deformation of space-flexible manipulators is described based on the assumption mode method. The Lagrange principle is used to establish dynamic equations coupled with modal and angle which considers the two-dimensional deformation. Then, the universal approximation characteristic of fuzzy rules is used to identify and compensate for the uncertain components of dynamic models including flexible nonlinear terms and external disturbances. Then, according to the Lyapunov function, the control law and adaptive law of fuzzy compensation sliding mode control strategy are designed to ensure the closed-loop stability of space-flexible manipulators. Finally, the simulation and physical prototype control experiments of space-flexible manipulators are carried out. The experimental results show that the fuzzy compensation sliding mode control strategy can effectively improve the rotation control precision of space-flexible manipulators and indirectly reduce the vibration amplitude. Compared with the traditional sliding mode control strategy, the proposed control strategy can reduce the mean value of the absolute value of the angular tracking error by 17.86% and the standard deviation of the lateral acceleration by 31.91%.
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Received: 11 May 2023
Published: 15 April 2024
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[1] WANG Y C, DING X L, TANG Z X, et al. A Novel Analytical Inverse Kinematics Method for SSRMS-Type Space Manipulators Based on the POE Formula and the Paden-Kahan Subproblem[J]. International Journal of Aerospace Engineering, 2021, 2021: 6690696.
[2] HIRZINGER G, LANDZETTEL K, BRUNNER B, et al. DLR's Robotics Technologies for On-Orbit Servicing. Advanced Robotics[J]. Advanced Robotics, 2004, 18(2): 139-174.
[3] YOSHIDA K. ETS-VII Flight Experiments for Space Robot Dynamics and Control-Theories an Laboratory Test Beds Ten Years Ago, Now in Orbit[J]. International Journal of Robotics Research, 2003, 22(5): 321–335.
[4] 朱晓俊,王学谦,马云萱,等. 绳驱超冗余空间柔性机械臂遥操作系统设计与实验研究[J]. 机器人, 2022, 44(01): 9-18.
ZHU Xiaojun, WANG Xueqian, MA Yunxuan, et al. Design and Experimental Research on the Teleoperation System of Rope Driven Super Redundant Space Flexible Manipulator[J]. Robots, 2022, 44(01): 9-18.
[5] 娄军强,魏燕定,杨依领,等. 空间柔性机械臂弯扭耦合振动的主动控制研究[J]. 振动工程学报, 2014, 27(03): 400-407.
LOU Junqiang, WEI Yanding, YANG Yiling, et al. Research on Active Control of Coupled Bending and Torsional Vibration of Space Flexible Manipulators[J]. Journal of Vibration Engineering, 2014, 27(03): 400-407.
[6] TANG Y X, TIAN Q, HU H Y. Efficient modeling and order reduction of new 3D beam elements with warping via absolute nodal coordinate formulation[J]. Nonlinear Dynamics, 2022, 109(4): 2319-2354.
[7] SHANG D Y, LI X P, YIN M, et al. Vibration suppression method for flexible link underwater manipulator considering torsional flexibility based on adaptive PI controller with nonlinear disturbance observer[J]. Ocean Engineering, 2023, 274:114111.
[8] SHANG D Y, LI X P, YIN M, et al. Transmission characteristics analysis and disturbance compensation control strategy for two-inertia system with a flexible link[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2023, 45(5):270.
[9] 周俊,饶柱石,塔娜. 欧拉-伯努利梁运动场的正交性及其能量传导特性分析[J]. 力学学报, 2015, 47(01): 135-146.
ZHOU Jun, RAO Zhushi, Ta Na. Analysis of orthogonality of Euler Bernoulli beam motion field and its energy transmission characteristics[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(01): 135-146.
[10] 杨柳, 杨绍普, 杨月婷. 非线性铁木辛柯梁饱和吸振[J]. 振动与冲击, 2017, 36(04): 47-51.
YANG Liu, YANG Shaopu, Ya Yueting. Nonlinear Timoshenko beam saturated vibration absorption[J]. Journal of Vibration and Shock, 2017, 36 (04): 47-51.
[11] SHANG D Y, LI X P, YIN M, et al. Vibration Suppression Method Based on PI Fuzzy Controller Containing Disturbance Observe for Dual-flexible Manipulator with an Axially Translating Arm[J]. International Journal of Control, Automation and Systems, 2022, 20(5): 1682-1694.
[12] ZHAN B, JIN M H, LIU J. Extended-state-observer-based adaptive control of flexible-joint space manipulators with system uncertainties[J]. Advances in Space Research, 2022, 69(8): 3088-3102.
[13] LU X, JIA, Y. Adaptive coordinated control of uncertain free-floating space manipulators with prescribed control performance[J]. Nonlinear dynamics, 2019, 97(2).
[14] KHALOOZADEH H, REZA H M. Real-time regulated sliding mode controller design of multiple manipulator space free-flying robot[J]. Journal of Mechanical Science and Technology, 2010, 24(6): 1337-1351.
[15] MA B L, HUO W. Adaptive control of space robot system with an attitude controlled base[C] IEEE International Conference on Robotics & Automation. IEEE, 1993.
[16] SHANG D Y, LI X P, YIN M, et al. Control Method of Flexible Manipulator Servo System Based on a Combination of RBF Neural Network and Pole Placement Strategy[J]. Mathematics, 2021, 9(8): 896.
[17] 尚东阳,李小彭,尹猛,等. 基于干扰观测器的含有柔性关节的柔性机械臂抑振策略[J]. 振动与冲击, 2022, 41(24): 125-133.
SHANG Dongyang, LI Xiaopeng, YIN Meng, et al. A Vibration Suppression Strategy for Flexible Manipulators with Flexible Joints Based on Interference Observer[J]. Journal of Vibration and Shock, 2022, 41 (24): 125-133.
[18] 李小彭,尚东阳,陈仁桢,等. 基于机械臂位姿变换的柔性负载伺服驱动系统控制策略[J]. 机械工程学报, 2020, 56(21): 56-69.
LI Xiaopeng, SHANG Dongyang, CHEN Renzhen, et al. Control Strategy for Flexible Load Servo Drive System Based on Robot Arm Pose Transformation[J]. Journal of Mechanical Engineering, 2020, 56(21): 56-69.
[19] ABE A. Trajectory Planning for Residual Vibration Suppression of a Two-Link Rigid-Flexible Manipulator Considering Large Deformation[J]. Mechanism and Machine Theory, 2009, 44(9): 1627-1639.
[20] DAMAREN C, SHARF I. Simulation of Flexible-Link Manipulators With Inertial and Geometric Nonlinearities[J]. Journal of Dynamic Systems Measurement & Control, 1995, 117(1): 74-87. |
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