现代制造工程 ›› 2026, Vol. 544 ›› Issue (1): 48-58.doi: 10.16731/j.cnki.1671-3133.2026.01.006

• 机器人技术 • 上一篇    下一篇

基于NDOB的关节机器人时变阻尼PBC与优化符号函数SMC协同控制*

郎需龙, 于海生, 杨庆, 郭庆锟   

  1. 青岛大学自动化学院,青岛 266071
  • 收稿日期:2025-05-12 出版日期:2026-01-18 发布日期:2026-03-17
  • 通讯作者: 于海生,教授,博士生导师,主要研究方向为机器人与电机控制。E-mail:yu.hs@163.com
  • 作者简介:郎需龙,硕士研究生,主要研究方向为机器人控制。
  • 基金资助:
    *国家自然科学基金项目(62273189);青岛大学“系统+”学科集群跨学科联合攻关项目(XT2024201)

NDOB-based cooperative control of manipulators with time-varying damping PBC and optimized sign function SMC

LANG Xulong, YU Haisheng, YANG Qing, GUO Qingkun   

  1. College of Automation, Qingdao University, Qingdao 266071, China
  • Received:2025-05-12 Online:2026-01-18 Published:2026-03-17

摘要: 针对永磁同步电机驱动的关节机器人轨迹跟踪控制中响应速度和准确性无法兼顾的问题,提出了一种基于扰动观测器的能量变换与信号处理相结合的协同控制策略。首先,能量变换控制器采用时变阻尼无源性控制的方法,通过引入时变阻尼注入策略来改善系统存在的高频振荡,以提高系统的稳态控制精度。其次,信号处理控制器采用全局快速终端滑模控制的方法,以提高系统的动态跟踪速度。优化符号函数能有效地降低系统的高频振荡。在此基础上,通过对高斯函数、双曲正切函数、反正切函数和复合分式函数进行综合对比分析,选择高斯函数作为协同函数,并将其应用到协同控制策略中。最后,采用非线性扰动观测器估计系统的集总扰动并用于补偿控制,以提高系统的抗干扰能力。实验对比结果表明,时变阻尼无源性控制能有效降低系统的稳态误差,基于优化符号函数的全局快速终端滑模控制能实现系统的快速响应,协同控制策略能够在降低稳态误差和高频振荡的同时保证关节位置的动态快速跟踪,并且具有良好的抗干扰性和鲁棒性。

关键词: 关节机器人, 无源性控制, 时变阻尼注入, 协同控制, 滑模控制

Abstract: To address the issue of the inability to simultaneously balance response speed and accuracy in trajectory tracking control of manipulators driven by permanent magnet synchronous motors,a disturbance observer-based cooperative control strategy of energy conversion control and signal processing control is proposed. Firstly,the energy conversion controller adopts a time-varying damping Passivity-Based Control (PBC) method. By introducing a time-varying damping injection strategy,the method reduces the high-frequency oscillations of the system and enhances the steady-state control accuracy of the system. Secondly,the signal processing controller adopts a global fast terminal Sliding Mode Control (SMC) method,which can improve the dynamic tracking speed of the system. Meanwhile,the optimized sign function can effectively reduce system high-frequency oscillations. On this basis,through comprehensive comparative analysis of Gaussian function,hyperbolic tangent function,arctangent function,and composite fractional function,Gaussian function is selected as the cooperative function in the cooperative control strategy. Lastly,a nonlinear disturbance observer is used to estimate the lump disturbance of the system and improve the anti-interference ability of the system and apply to compensation control. The experimental comparison results indicate that time-varying damping passivity-based control can effectively reduce the steady-state error of the system,the global fast terminal sliding mode control based on optimized sign function can achieve fast response of the system,and the cooperative control strategy can ensure dynamic fast tracking of joint positions while reducing steady-state errors and high-frequency oscillations,and has good anti-interference and robustness.

Key words: manipulators, Passivity-Based Control(PBC), time-varying damping injection, cooperative control, Sliding Mode Control(SMC)

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