机械与电子
機械與電子
궤계여전자
MACHINERY & ELECTRONICS
2014年
8期
74-77,78
,共5页
连续点位运动%规划算法%关节空间样条
連續點位運動%規劃算法%關節空間樣條
련속점위운동%규화산법%관절공간양조
continuous point to point mo-tion%planning algorithm%splines in joint space
为了提高工业机器人的运动平稳性和快速性,保证机器人在走曲线时能够准确到达各示教点并且实现平滑过渡,提出一种基于关节空间样条的连续点位运动规划算法。以关节空间的单个轴为例,从一般三阶 S 曲线轨迹出发,为了保证规划得到的加速度不跳变以及样条曲线能够保形,在两个相邻示教点之间插入 n 个中间点,将一段轨迹分为 n+1段,根据该关节起点和终点的位置、速度和加速度以及插入点位置、速度、加速度连续的边界条件,可以得到新的规划轨迹。最后通过实验比较验证,该规划算法能够快速实现过程点的准确到达并且加速度没有跳变、曲线能够保形,具有实际推广价值。
為瞭提高工業機器人的運動平穩性和快速性,保證機器人在走麯線時能夠準確到達各示教點併且實現平滑過渡,提齣一種基于關節空間樣條的連續點位運動規劃算法。以關節空間的單箇軸為例,從一般三階 S 麯線軌跡齣髮,為瞭保證規劃得到的加速度不跳變以及樣條麯線能夠保形,在兩箇相鄰示教點之間插入 n 箇中間點,將一段軌跡分為 n+1段,根據該關節起點和終點的位置、速度和加速度以及插入點位置、速度、加速度連續的邊界條件,可以得到新的規劃軌跡。最後通過實驗比較驗證,該規劃算法能夠快速實現過程點的準確到達併且加速度沒有跳變、麯線能夠保形,具有實際推廣價值。
위료제고공업궤기인적운동평은성화쾌속성,보증궤기인재주곡선시능구준학도체각시교점병차실현평활과도,제출일충기우관절공간양조적련속점위운동규화산법。이관절공간적단개축위례,종일반삼계 S 곡선궤적출발,위료보증규화득도적가속도불도변이급양조곡선능구보형,재량개상린시교점지간삽입 n 개중간점,장일단궤적분위 n+1단,근거해관절기점화종점적위치、속도화가속도이급삽입점위치、속도、가속도련속적변계조건,가이득도신적규화궤적。최후통과실험비교험증,해규화산법능구쾌속실현과정점적준학도체병차가속도몰유도변、곡선능구보형,구유실제추엄개치。
To improve the moving stationarity and rapidity of industrial robots and ensure its reachability to each teaching point and smooth transition,this paper presents a kind of continuous point to point motion planning algorithm based on splines in joint space.Take a single axis in joint space as an example,we can firstly analyzed the general third order S curve trajectory.In order to ensure the planning acceleration have no jump and the curve is conformal,we insertn intermediate points between two adjacent teaching points and therefore a section of the trajectory is divided inton+ 1 segments.According to these boundary condi-tions the position,velocity and acceleration of the start and the end points and their continuity at the inserted points,a new planned trajectory can be ob-tained.Finally,by the experimental verification, this planning algorithm can make the robot quickly and accurately reach the teaching points without acceleration jump and the curve conformal,and can be applied to practical situation.