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基于轮廓误差补偿的机械臂自适应非奇异终端滑模控制
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国家自然科学基金项目(51905115;61806058);广州市教育局高校科研项目(202032821)


Adaptive Non-singular Terminal Sliding Mode Control of Robot Based on Contour Error Compensation
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    摘要:

    针对机械臂外部干扰、执行器故障等不确定因素对末端轮廓跟踪精度的影响,提出一种基于交叉耦合的自适应非奇异终端滑模控制方法。基于机械臂动力学模型,采用Lyapunov函数设计系统的非奇异终端滑模控制律;为解决滑模控制器设计过程依赖于不确定性上界这一局限性,引入自适应技术估计系统集总不确定性,有效抑制滑模控制的高频抖振现象;根据有限时间稳定性理论证明闭环控制系统的有限时间稳定。结合交叉耦合控制技术与抛物线过渡轨迹规划技术,设计交叉耦合轮廓补偿与参考位置预补偿相互协调的统一框架;提高机械臂各关节间的协调性,以更好地削弱系统不确定性对末端轮廓跟踪精度的影响。结果表明:所设计的控制器能够在机械臂系统存在不确定性因素下实现末端轮廓精确跟踪,并能有效抑制系统抖振现象。

    Abstract:

    Aiming at the influence of uncertain factors such as external disturbances of manipulator and actuator faults on the tracking accuracy of the end contour,an adaptive non-singular terminal sliding mode control method based on cross-coupling was investigated.Based on the robot dynamics model,the non-singular terminal sliding mode controller (NTSMC) of the system was designed by using Lyapunov function;in order to solve the limitation that the design process of sliding mode controller depends on the uncertainty upper bound,an adaptive technique was introduced to estimate the lumped uncertainty of the system,and the chattering phenomenon of sliding mode controller was effectively suppressed;based on the finite time stability theory,the finite time stability of the closed-loop control system was proved.Combining the cross-coupling control technology with the parabolic transition trajectory planning technology,a unified framework of cross-coupling contour compensation and reference position pre-compensation was designed;the influence of system uncertainty on contour tracking accuracy of the end-effector was better reduced by improving the coordination between the various joints of robotic manipulator.The results show that by using the proposed controller,the end-contour of the manipulator can be accurately tracked and the chattering phenomenon of the system can be effectively suppressed.

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朱大昌,杜宝林,盘意华,崔翱东.基于轮廓误差补偿的机械臂自适应非奇异终端滑模控制[J].机床与液压,2022,50(8):172-180.
ZHU Dachang, DU Baolin, PAN Yihua, CUI Aodong. Adaptive Non-singular Terminal Sliding Mode Control of Robot Based on Contour Error Compensation[J]. Machine Tool & Hydraulics,2022,50(8):172-180

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  • 在线发布日期: 2023-02-22
  • 出版日期: 2022-04-28