考虑频域整形的工业机器人Double S轨迹规划方法

Double S trajectory planning method for industrial robots with frequency-domain shaping

  • 摘要: 工业机器人高速作业时关节柔性引起的残余振动严重制约生产效率。传统输入整形技术虽能抑振,但其固有的卷积操作会引入固定时延,并导致整形后轨迹的时间反演计算复杂度过高。为此,提出一种考虑频域整形的改进Double S轨迹规划算法。该方法建立轨迹参数与频谱零点的映射,将抑振转化为参数优化问题。通过推导7个临界位移条件,构建了8种模式的自适应策略,利用脉冲抵消原理突破短距抑振时间限制,并保证全量程时间连续性。ER35-1800机器人实验表明,该方法较标准规划最大位置稳定时间缩短了45.8%,最大位置超调量降低了64%。

     

    Abstract: Residual vibration induced by joint flexibility during high-speed operations of industrial robots significantly constrains production efficiency. While traditional input shaping techniques are effective for vibration suppression, their inherent convolution operations introduce fixed time delays and result in excessive computational complexity for the inverse calculation of shaped trajectories. To address these issues, an improved Double S trajectory planning algorithm that incorporates frequency-domain shaping is proposed. The method establishes a mapping between trajectory parameters and spectral zeros, thereby transforming vibration suppression into a parameter optimization problem. By deriving seven critical displacement conditions, an adaptive strategy comprising eight modes is constructed. This approach utilizes the impulse cancellation principle to overcome time constraints in short-distance vibration suppression while ensuring full-range time continuity. Experimental results on an ER35-1800 robot demonstrate that, compared with standard planning, the proposed method reduces the maximum position settling time by 45.8% and the maximum position overshoot by 64%.

     

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