考虑输出约束的机械臂命令滤波反步控制

林孟豪; 张蕾; 李鹏飞; 王晓华; 王文杰

doi:10.7652/xjtuxb202112009

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考虑输出约束的机械臂命令滤波反步控制

更新时间：2025-07-09

- 考虑输出约束的机械臂命令滤波反步控制
- A Backstepping Control Strategy of Command Filtering for Two-Link Flexible Joint Manipulator
- 西安交通大学学报 2021年55卷第12期页码：70-78
- 作者机构：
  
  西安工程大学电子信息学院,西安,710048
- 作者简介：
- 基金信息：
  
  : 2021-05-08。作者简介: 林孟豪(1996—),男,硕士生;张蕾(通信作者),女,博士,副教授。基金项目: 国家自然科学基金资助项目(51607133);陕西省技术创新引导专项基金资助项目(2020TG-011);陕西省重点研发计划资助项目(2019ZDLGY01-08)
- DOI：10.7652/xjtuxb202112009
  中图分类号： TP241
- 网络首发：2021-12-10，
  
  纸质出版：2021
- 稿件说明：
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林孟豪, 张蕾, 李鹏飞, 等. 考虑输出约束的机械臂命令滤波反步控制[J]. 西安交通大学学报, 2021,55(12):70-78.

A Backstepping Control Strategy of Command Filtering for Two-Link Flexible Joint Manipulator[J]. 2021, 55(12): 70-78.
林孟豪, 张蕾, 李鹏飞, 等. 考虑输出约束的机械臂命令滤波反步控制[J]. 西安交通大学学报, 2021,55(12):70-78. DOI： 10.7652/xjtuxb202112009.

A Backstepping Control Strategy of Command Filtering for Two-Link Flexible Joint Manipulator[J]. 2021, 55(12): 70-78. DOI： 10.7652/xjtuxb202112009.

摘要

为了提高双连杆柔性关节机械臂系统的轨迹跟踪响应速度与轨迹跟踪精度

提出一种具有输出约束和误差补偿的双连杆柔性关节机械臂命令滤波反步控制策略(BLF-CFBC)。首先

在反步控制设计中构造对数型障碍李雅普诺夫函数来替代常规的二次型李雅普诺夫函数

使得轨迹跟踪误差被约束在预先设定的误差范围内

从而在加快误差收敛速度的同时保证了轨迹跟踪精度; 其次

采用命令滤波器输出子系统递推过程中所需的控制函数及其导数

以避免基于李雅普诺夫理论的常规反步控制方法中由于对控制变量的反复求导而导致的计算爆炸的问题

从而有效降低了计算维度; 最后

引入误差补偿机制

利用控制变量与滤波器输出之间的误差来构造系统变量

以降低命令滤波器的误差对机械臂跟踪精度的影响。采用Matlab搭建系统模型进行仿真实验

结果表明

所提控制策略与不考虑输出约束和误差补偿的命令滤波反步控制策略(CFBC)相比

双连杆柔性关节机械臂关节1、2的轨迹跟踪响应速度分别提升了20%、30%

轨迹跟踪误差分别降低了4%、3.5%。

Abstract

A backstepping control strategy of command filtering with output constraint and error compensation for two-link flexible joint manipulator(named BLF-CFBC)is proposed to achieve the control goal of improving the tracking response speed and tracking accuracy of the two-link flexible joint manipulator system. Firstly

a logarithmic barrier Lyapunov function is constructed to replace the conventional quadratic Lyapunov function in the backstepping control design

so that the trajectory tracking error is constrained within the preset range and the trajectory tracking accuracy is ensured while the error convergence speed is accelerated. Secondly

the control signal and its derivative are output from the command filter so as to avoid the problem of computational explosion caused by the repeated derivation of control variables in conventional backstepping control method based on Lyapunov theory

thus effectively reducing the calculation dimension. Finally

an error compensation mechanism is introduced to construct system variables by using the errors between the control signal and the output of the filter

so as to reduce the influence of the error of command filter on the tracking accuracy of the manipulator. A two-link flexible joint manipulator system model is built and simulated in Matlab software. Results and a comparison with the command filter backstepping control strategy(CFBC)without considering output constraint and error compensation show that the proposed control strategy increases the trajectory tracking response speed of joint 1 and joint 2 by 20% and 30%

respectively

and the trajectory tracking error reduces by 4% and 3.5%

respectively.

关键词

Keywords

references

HE Wei, HE Xiuyu, ZOU Mingfo, et al. PDE model-based boundary control design for a flexible robotic manipulator with input backlash [J]. IEEE Transactions on Control Systems Technology, 2019, 27(2): 790-797.

CHEN Ti, SHAN Jinjun. Distributed control of multiple flexible manipulators with unknown disturbances and dead-zone input [J]. IEEE Transactions on Industrial Electronics, 2020, 67(11): 9937-9947.

LEE T H, GE S S, WANG Z P. Adaptive robust controller design for multi-link flexible robots [J]. Mechatronics, 2002, 11(8): 951-967.

LEE S H, LEE C W. Hybrid control scheme for robust tracking of two-link flexible manipulator [J]. Journal of Intelligent Robotic Systems, 2002, 34(4): 431-452.

DONG Fangfang, ZHAO Xiaomin, HANG Jiang, et al. Optimal fuzzy adaptive control for uncertain flexible joint manipulator based on D-operation [J]. IET Control Theory Applications, 2018, 12(9): 1286-1298.

杨亮, 陈勇, 刘治. 基于参数不确定机械臂系统的自适应轨迹跟踪控制 [J]. 控制与决策, 2019, 34(11): 2485-2490.

YANG Liang, CHEN Yong, LIU Zhi. Adaptive trajectory tracking control for manipulator with uncertain dynamics and kinematics [J]. Control and Decision, 2019, 34(11): 2485-2490.

刘华山, 金元林, 程新, 等. 力矩输入有界的柔性关节机器人轨迹跟踪控制 [J]. 控制理论与应用, 2019, 36(6): 983-992.

LIU Huashan, JIN Yuanlin, CHENG Xin, et al. Trajectory tracking control for flexible-joint robot manipulators with bounded torque inputs [J]. Control Theory Applications, 2019, 36(6): 983-992.

NA Jing, HUANG Yingbo, WU Xing, et al. Active adaptive estimation and control for vehicle suspensions with prescribed performance [J]. IEEE Transactions on Control Systems Technology, 2018, 11(6): 2063-2077.

WANG Shubo, NA Jing, REN Xuemei, et al. Unknown input observer-based robust adaptive funnel motion control for nonlinear servomechanisms [J]. International Journal of Robust Nonlinear Control, 2018, 28(18): 6163-6179.

徐张宝, 朱忠领, 马大为, 等. 考虑状态约束的液压系统自适应控制 [J]. 西安交通大学学报, 2017, 51(1): 97-102.

XU Zhangbao, ZHU Zhongling, MA Dawei. Adaptive control of hydraulic systems with state constraints [J]. Journal of Xi'an Jiaotong University, 2017, 51(1): 97-102.

HE W, YAN Z, SUN Y, et al. Neural-learning-based control for a constrained robotic manipulator with flexible joints [J]. IEEE Transactions on Neural Networks and Learning Systems, 2018, 29(12): 5993-6003.

陈强, 丁科新, 南余荣. 带有输出约束的柔性关节机械臂预设性能自适应控制 [J]. 控制与决策, 2021, 36(2): 387-394.

CHEN Qiang, DING Kexing, NAN Yurong. Prescribed performance adaptive control of flexible-joint manipulators with output constraints [J]. Control and Decision, 2021, 36(2): 387-39.

AHAND J J, MBEDE J B, MELINGUI A, et al. Robust adaptive command filtered control of a robotic manipulator with uncertain dynamic and joint space constraints [J]. Robotica, 2018, 36(5): 767-786.

SPONG M W. Modeling and control of elastic joint robots [J]. Journal of Dynamic Systems, Measurement, and Control, 1987, 109(4): 310-319.

SUN Wei, SU Shunfeng, XIA Jingwei, et al. Adaptive fuzzy tracking control of flexible-joint robots with full-state constraints [J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018, 49(11): 2201-2209.

LING Song, WANG Huanqing, LIU P X. Adaptive fuzzy tracking control of flexible-joint robots based on command filtering [J]. IEEE Transactions on Industrial Electronics, 2020, 67(5): 4046-4055.

HE Wei, CHEN Yuhao, YIN Zhao. Adaptive neural network control of an uncertain robot with full-state constraints [J]. IEEE Transactions on Cybernetics, 2017, 46(3): 620-629.

HE Wei, DAVID A O, YIN Zhao, et al. Neural network control of a robotic manipulator with input deadzone and output constraint [J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2016, 46(6): 759-770.

吴春, 齐蓉, 陈晓雷. 基于障碍Lyapunov函数的输出有界全局收敛鲁棒控制 [J]. 控制与决策, 2015, 30(3): 448-454.

WU Chun, QI Rong, CHEN Xiaolei. Robust control for output-constrained with global convergence using barrier Lyapunov function [J]. Control and Decision, 2015, 30(3): 448-454.

LI Yong, YANG Chenguang, YAN Weisheng, et al. Admittance-based adaptive cooperative control for multiple manipulators with output constraints [J]. IEEE Transactions on Neural Networks and Learning Systems, 2019, 30(12): 3621-3632.

DONG Wenjie, FARRELL J A, POLYCARPOU M M, et al. Command filtered adaptive backstepping [J]. IEEE Transactions on Control Systems Technology, 2011, 20(3): 566-580.

LONG Teng, LI En, HU Yunqing, YANG Lei, et al. A vibration control method for hybrid-structured flexible manipulator based on sliding mode control and reinforcement learning [J]. IEEE Transactions on Neural Networks and Learning Systems, 2021, 32(2): 841-852.

李鹏飞, 张银河, 张蕾, 等. 考虑误差补偿的柔性关节机械臂命令滤波反步控制 [J]. 控制理论与应用, 2020, 37(8): 1693-1700.

LI Pengfei, ZHAN Yinhe, ZHANG Lei, et al. Command-filtered backstepping control with error compensation for flexible joint manipulator [J]. Control Theory Applications, 2020, 37(8): 1693-1700.

BELKACEM R, MOHAMMED B. Adaptive neural network output feedback control for flexible multi-link robotic manipulators [J]. International Journal of Control, 2019, 92(10): 2324-2338.

UMESH K S, BIDYADHAR S, DIPTI P. Sampled-data extended state observer-based backstepping control of two-link flexible manipulator [J]. Transactions of the Institute of Measurement and Control, 2019, 41(13): 3581-3599.

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