机床与液压
機床與液壓
궤상여액압
MACHINE TOOL & HYDRAULICS
2014年
9期
10-12
,共3页
工业机器人%笛卡尔空间%轨迹衔接%多项式插值
工業機器人%笛卡爾空間%軌跡銜接%多項式插值
공업궤기인%적잡이공간%궤적함접%다항식삽치
Industry robot%Cartesian space%Trajectory connection%Polynomial interpolation
在笛卡尔空间下的机器人轨迹规划中,常用一段“小圆弧轨迹”衔接运动过程中的前后两条轨迹,以达到不用把速度降到0就能平稳拐弯的目的。对高速高精度机器人而言,平稳拐弯要求轨迹足够平滑,而小圆弧过渡方法会使关节的加速度轨迹发生跳变而影响轨迹的平滑性。针对这一不足,提出用五次多项式插值的方法平稳衔接两条轨迹,推导了该五次多项式系数矩阵的求解方法。通过仿真验证表明,新方法能使轨迹更加平滑。
在笛卡爾空間下的機器人軌跡規劃中,常用一段“小圓弧軌跡”銜接運動過程中的前後兩條軌跡,以達到不用把速度降到0就能平穩枴彎的目的。對高速高精度機器人而言,平穩枴彎要求軌跡足夠平滑,而小圓弧過渡方法會使關節的加速度軌跡髮生跳變而影響軌跡的平滑性。針對這一不足,提齣用五次多項式插值的方法平穩銜接兩條軌跡,推導瞭該五次多項式繫數矩陣的求解方法。通過倣真驗證錶明,新方法能使軌跡更加平滑。
재적잡이공간하적궤기인궤적규화중,상용일단“소원호궤적”함접운동과정중적전후량조궤적,이체도불용파속도강도0취능평은괴만적목적。대고속고정도궤기인이언,평은괴만요구궤적족구평활,이소원호과도방법회사관절적가속도궤적발생도변이영향궤적적평활성。침대저일불족,제출용오차다항식삽치적방법평은함접량조궤적,추도료해오차다항식계수구진적구해방법。통과방진험증표명,신방법능사궤적경가평활。
In the trajectory planning of industry robot in Cartesian space,a small“arc-curve”is always used to connect two traj-ectories in order to change the moving direction smoothly without decreasing velocity down to zero. It requires trajectory smooth enough to turn the direction during a high-speed and high-precision operation of industry robot. However,the small“arc-curve”would bring mutations to the trajectory of acceleration. To avoid such disadvantage,a new connection method based on 5th-order polynomial inter-polation was proposed,and some derivations which showed how to compute the coefficient matrix of the polynomial were listed. The simulation attests that the new method connects two trajectories more smoothly.