机械臂非奇异快速终端滑模迭代学习轨迹跟踪控制研究

陈涛; 李晓娟; 刘建璇; 王立忠

doi:10.7652/xjtuxb202501012

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机械臂非奇异快速终端滑模迭代学习轨迹跟踪控制研究

更新时间：2026-01-06

- 机械臂非奇异快速终端滑模迭代学习轨迹跟踪控制研究
- Research on Trajectory Tracking Control of Non-Singular Fast Terminal Sliding Mode Iterative Learning for Robot Manipulators
- 西安交通大学学报 2025年59卷第1期页码：125-135
- 作者机构：
  
  新疆大学机械工程学院， 830047，乌鲁木齐
- 作者简介：
  
  陈涛（1994—），男，博士生；
  王立忠（通信作者），男，教授，博士生导师。
- 基金信息：
  
  国家自然科学基金资助项目(52265003);新疆维吾尔自治区天山雪松青年拔尖人才资助项目(20227SYCCX0061)
- DOI：10.7652/xjtuxb202501012
  中图分类号： TP241
- 收稿：2024-07-15，
  
  网络首发：2024-09-25，
  
  纸质出版：2025-01-10
- 稿件说明：
移动端阅览
陈涛, 李晓娟, 刘建璇, 等. 机械臂非奇异快速终端滑模迭代学习轨迹跟踪控制研究[J]. 西安交通大学学报, 2025,59(1):125-135.

CHEN Tao, LI Xiaojuan, LIU Jianxuan, et al. Research on Trajectory Tracking Control of Non-Singular Fast Terminal Sliding Mode Iterative Learning for Robot Manipulators[J]. Journal of Xi’an Jiaotong University, 2025, 59(1): 125-135.
陈涛, 李晓娟, 刘建璇, 等. 机械臂非奇异快速终端滑模迭代学习轨迹跟踪控制研究[J]. 西安交通大学学报, 2025,59(1):125-135. DOI： 10.7652/xjtuxb202501012.

CHEN Tao, LI Xiaojuan, LIU Jianxuan, et al. Research on Trajectory Tracking Control of Non-Singular Fast Terminal Sliding Mode Iterative Learning for Robot Manipulators[J]. Journal of Xi’an Jiaotong University, 2025, 59(1): 125-135. DOI： 10.7652/xjtuxb202501012.

摘要

针对机械臂建模参数精准性与扰动不确定性的精确轨迹跟踪控制问题，提出了一种非奇异快速终端滑模控制与迭代学习控制相融合的控制方法。首先，为保证跟踪误差的收敛速度，避免收敛中的奇异性问题，设计采用饱和函数趋近律的非奇异快速终端滑模控制器。其次，为进一步提高轨迹跟踪精度，设计误差迭代学习控制器，并对所设计的控制器进行了收敛性分析。最后，在Simulink软件中搭建所提方法的控制系统，进行迭代控制与对比控制仿真实验，并同步开展机械臂跟踪控制真机实验。结果表明：在迭代实验中，关节最大平均稳态误差提升了72%；在对比实验中，与比例微分（PD）型迭代学习控制和PD型线性滑模控制相比，最大平均稳态误差分别提升了97%、51%，最大响应调整时间分别减少70%、50%；在真机实验中，机械臂跟踪误差稳定在[－0.05，0.05] rad区间内。实验结果充分验证了所提控制方法的正确性与有效性，为解决机械臂轨迹跟踪中的不确定性问题提供了一种有效的控制方案。

Abstract

In response to the challenge of precise trajectory tracking control for robot manipulators

influenced by the accuracy of modeling parameters and disturbance uncertainties

a novel control approach that combines non-singular fast terminal sliding mode control with iterative learning control is presented. First

to ensure the convergence speed of tracking errors and prevent singularity issues during convergence

a non-singular fast terminal sliding mode controller employing the law of approach to saturation is designed. Second

to further improve trajectory tracking accuracy

an error iterative learning controller is developed

and the convergence of these controllers is analyzed. Finally

the control system based on the proposed method is implemented in Simulink for iterative and comparative control simulation experiments. Additionally

real-machine experiments for robot manipulator tracking control are carried out. The experimental results show that: in the iterative experiment

the maximum average steady-state error in joints increases by 72%; in the comparative experiment

compared to PD-type iterative learning control and PD-type linear sliding mode control

the maximum average steady-state error rises by 97% and 51%

respectively

while the maximum response adjustment time decreases by 70% and 50%

respectively; in the real-machine experiment

the robot manipulator tracking error stabilizes within the range of [－0.05

0.05] rad. These findings thoroughly validate the effectiveness and accuracy of the proposed control method

offering an effective control solution for addressing uncertainties in robot manipulator trajectory tracking.

关键词

Keywords

references

BI Z M , LUO Chaomin , MIAO Zhonghua , et al . Safety assurance mechanisms of collaborative robotic systems in manufacturing [J ] . Robotics and Computer-Integrated Manufacturing , 2021 , 67 : 102022 .

杨淑华 , 谢晓波 , 邴振凯 , 等 . 基于HER-TD3算法的青皮核桃采摘机械臂路径规划 [J ] . 农业机械学报 , 2024 , 55 ( 4 ): 113 - 123 .

YANG Shuhua , XIE Xiaobo , BING Zhenkai , et al . Path planning of green walnut picking robotic arm based on HER-TD3 algorithm [J ] . Transactions of the Chinese Society for Agricultural Machinery , 2024 , 55 ( 4 ): 113 - 123 .

张文彬 , 沙连森 , 史文青 , 等 . 融合远心运动机构与串联机械臂的穿刺手术机器人系统研究 [J ] . 西安交通大学学报 , 2023 , 57 ( 7 ): 1 - 8 .

ZHANG Wenbin , SHA Liansen , SHI Wenqing , et al . Research on puncture surgery assisting robot system integrating remote center of motion mechanism and serial manipulator [J ] . Journal of Xi'an Jiaotong University , 2023 , 57 ( 7 ): 1 - 8 .

QIAO Lei , ZHAO Min , WU Chao , et al . Adaptive PID control of robotic manipulators without equality/inequality constraints on control gains [J ] . International Journal of Robust and Nonlinear Control , 2022 , 32 ( 18 ): 9742 - 9760 .

TUSSET A M , PEREIRA A E B , BALTHAZAR J M , et al . Positioning control of robotic manipulators subject to excitation from non-ideal sources [J ] . Robotics , 2023 , 12 ( 2 ): 51 .

YANG Xiaohang , ZHAO Zhiyuan , LI Yuntao , et al . Adaptive neural network control of manipulators with uncertain kinematics and dynamics [J ] . Engineering Applications of Artificial Intelligence , 2024 , 133 ( Part A ): 107935 .

梁相龙 , 姚建勇 . 带有输出约束的液压机械臂自适应神经网络力跟踪控制 [J/OL ] . 控制理论与应用 ( 2023-12-14 ) [ 2024-07-02 ] . http://kns.cnki.net/kcms/detail/44.1240.TP.20231213.1540.034.html http://kns.cnki.net/kcms/detail/44.1240.TP.20231213.1540.034.html .

LIANG Xianglong , YAO Jianyong . Adaptive neural network force tracking control of hydraulic manipulators with output constraints [J/OL ] . Control Theory & Applications ( 2023-12-14 ) [ 2024-07-02 ] . http://kns.cnki.net/kcms/detail/44.1240.TP.20231213.1540.034.html http://kns.cnki.net/kcms/detail/44.1240.TP.20231213.1540.034.html .

付雯 , 温浩 , 黄俊珲 , 等 . 基于非线性动力学模型补偿的水下机械臂自适应滑模控制 [J ] . 清华大学学报(自然科学版) , 2023 , 63 ( 7 ): 1068 - 1077 .

FU Wen , WEN Hao , HUANG Junhui , et al . Adaptive sliding mode control of underwater manipulator based on nonlinear dynamics model compensation [J ] . Journal of Tsinghua University (Science and Technology) , 2023 , 63 ( 7 ): 1068 - 1077 .

王宏志 , 王婷婷 , 兰淼淼 , 等 . 基于位置跟踪的机械臂多电机新型滑模控制策略 [J ] . 吉林大学学报(工学版) , 2024 , 54 ( 5 ): 1443 - 1458 .

WANG Hongzhi , WANG Tingting , LAN Miaomiao , et al . A novel sliding mode control strategy of multi-motor for robot arm based on position tracking [J ] . Journal of Jilin University (Engineering and Technology Edition) , 2024 , 54 ( 5 ): 1443 - 1458 .

YANG Lin , LI Yanan , HUANG Deqing , et al . Spatial iterative learning control for robotic path learning [J ] . IEEE Transactions on Cybernetics , 2022 , 52 ( 7 ): 5789 - 5798 .

陈强 , 陈凯杰 , 施卉辉 , 等 . 机械臂变长度误差跟踪迭代学习控制 [J ] . 自动化学报 , 2023 , 49 ( 12 ): 2594 - 2604 .

CHEN Qiang , CHEN Kaijie , SHI Huihui , et al . Error-tracking iterative learning control for robot manipulators with iteration varying lengths [J ] . Acta Automatica Sinica , 2023 , 49 ( 12 ): 2594 - 2604 .

VAN M , SUN Yuzhu , MCLLVANNA S , et al . Adaptive fuzzy fault tolerant control for robot manipulators with fixed-time convergence [J ] . IEEE Transactions on Fuzzy Systems , 2023 , 31 ( 9 ): 3210 - 3219 .

尚东阳 , 李小彭 , 尹猛 , 等 . 采用模糊补偿滑模控制器的空间柔性机械臂振动抑制方法 [J ] . 振动与冲击 , 2024 , 43 ( 7 ): 175 - 185 .

SHANG Dongyang , LI Xiaopeng , YIN Meng , et al . Vibration suppression method for space-flexible manipulator using fuzzy compensation sliding mode controller [J ] . Journal of Vibration and Shock , 2024 , 43 ( 7 ): 175 - 185 .

ZHOU Weixiang , WANG Yueying , LIANG Yinzheng . Sliding mode control for networked control systems: a brief survey [J ] . ISA Transactions , 2022 , 124 : 249 - 259 .

ZHOU Yujian , SHE Jinhua , WANG Feng , et al . Disturbance rejection for Stewart platform based on integration of equivalent-input-disturbance and sliding-mode control methods [J ] . IEEE/ASME Transactions on Mechatronics , 2023 , 28 ( 4 ): 2364 - 2374 .

王宏 , 郑天奇 , 纪俐 , 等 . 基于T-S模糊补偿的六轴机械臂的滑模鲁棒控制 [J ] . 东北大学学报(自然科学版) , 2018 , 39 ( 3 ): 378 - 382 .

WANG Hong , ZHENG Tianqi , JI Li , et al . Six-axis manipulator's sliding mode robust control based on T-S fuzzy compensation [J ] . Journal of Northeastern University (Natural Science) , 2018 , 39 ( 3 ): 378 - 382 .

DONG Hanlin , YANG Xuebo , GAO Huijun , et al . Practical terminal sliding-mode control and its applications in servo systems [J ] . IEEE Transactions on Industrial Electronics , 2023 , 70 ( 1 ): 752 - 761 .

SUN Hongfei , WANG Haoping , TIAN Yang . Model-free non-singular fast terminal sliding mode controller using extended sliding mode observer for series elastic actuator-based robotic arm [C ] // 2023 International Conference Automatics and Informatics (ICAI) . Piscataway, NJ, USA : IEEE , 2023 : 295 - 300 .

CRUZ-ORTIZ D , CHAIREZ I , POZNYAK A . Non-singular terminal sliding-mode control for a manipulator robot using a barrier Lyapunov function [J ] . ISA Transactions , 2022 , 121 : 268 - 283 .

GUO Keyou , SHI Peipeng , WANG Pengshuo , et al . Non-singular terminal sliding mode controller with nonlinear disturbance observer for robotic manipulator [J ] . Electronics , 2023 , 12 ( 4 ): 849 .

贾华 , 刘延俊 , 王雨 , 等 . 六轴机械臂神经网络自适应终端滑模控制 [J ] . 西安交通大学学报 , 2022 , 56 ( 11 ): 21 - 30 .

JIA Hua , LIU Yanjun , WANG Yu , et al . Adaptive-neural-network-based terminal sliding mode control for six-axis robotic manipulators [J ] . Journal of Xi'an Jiaotong University , 2022 , 56 ( 11 ): 21 - 30 .

殷春武 , 甘婷 , 楚天乐 , 等 . 基于时变终端滑模的任意迭代初态抑制控制 [J ] . 控制理论与应用 , 2023 , 40 ( 6 ): 1105 - 1112 .

YIN Chunwu , GAN Ting , CHU Tianle , et al . Arbitrary iterative initial value suppression control based on time-varying terminal sliding mode [J ] . Control Theory & Applications , 2023 , 40 ( 6 ): 1105 - 1112 .

WU Shaohua , WU Aiguo , DONG Na , et al . Adaptive iterative learning control of robotic manipulator with second-order terminal sliding mode method [C ] // 2018 13th World Congress on Intelligent Control and Automation (WCICA) . Piscataway, NJ, USA : IEEE , 2018 : 1488 - 1493 .

张程琳 , 桑文闯 , 孙宁 , 等 . 多自由度机器人自适应滑模迭代学习跟踪控制 [J ] . 控制与决策 , 2024 , 39 ( 6 ): 1819 - 1828 .

ZHANG Chenglin , SANG Wenchuang , SUN Ning , et al . Adaptive sliding mode iterative learning tracking control of multi-degree-of-freedom robots [J ] . Control and Decision , 2024 , 39 ( 6 ): 1819 - 1828 .

刘金琨 . 机器人控制系统的设计与MATLAB仿真：基本设计方法 [M ] . 北京 : 清华大学出版社 , 2016 .

朱玉强 , 刘振 , 朱全民 , 等 . 不确定机械臂系统的模糊滑模有限时间容错控制 [J/OL ] . 控制理论与应用 . ( 2024-06-11 ) [ 2024-07-02 ] . http://kns.cnki.net/kcms/detail/44.1240.TP.20240607.1011.012.html http://kns.cnki.net/kcms/detail/44.1240.TP.20240607.1011.012.html .

ZHU Yuqiang , LIU Zhen , ZHU Quanmin , et al . Fuzzy sliding mode finite-time fault-tolerant control for uncertain manipulator systems [J/OL ] . Control Theory & Applications . ( 2024-06-11 ) [ 2024-07-02 ] . http://kns.cnki.net/kcms/detail/44.1240.TP.20240607.1011.012.html http://kns.cnki.net/kcms/detail/44.1240.TP.20240607.1011.012.html .

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