Stochastic error propagation in robot arms

Static error propagation in positioning robot arms has been extensively analyzed based on linearized error propagation models. These models are used for robot design and calibration. Most results were calculated using normally distributed errors in the different robot joints and links. In reality not all joints and links errors are normally distributed, and a mix of suitable symmetric and nonsymmetric probability distributions should be used in the error propagation model. The paper presents the general model for propagating errors with different distributions applicable to any system whose model can be linearized. Numerical examples are given for a general beta distribution of errors, and for a mix of symmetric and nonsymmetric distributions. Within the work-volume, the different configurations that a robot arm may attain during its life span can be expressed by a probability distribution. The paper includes the analysis of the effect of this distribution on the position error of the end-effector.

[1]  Sanjay G. Dhande,et al.  Analysis and Synthesis of Mechanical Error in Linkages—A Stochastic Approach , 1973 .

[2]  E. B. Magrab,et al.  A General Procedure to Evaluate Robot Positioning Errors , 1987 .

[3]  Laurent Foulloy,et al.  Improving the precision of a robot , 1984, ICRA.

[4]  Chi-Haur Wu,et al.  A Kinematic CAD Tool for the Design and Control of a Robot Manipulator , 1984 .

[5]  J. Chen,et al.  Positioning error analysis for robot manipulators with all rotary joints , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[6]  William K. Veitschegger,et al.  Robot accuracy analysis based on kinematics , 1986, IEEE J. Robotics Autom..

[7]  Kenneth J. Waldron,et al.  Numerical plotting of surfaces of positioning accuracy of manipulators , 1981 .

[8]  C. O. Huey,et al.  Mapping of Positioning Error of Robot Manipulators , 1984 .

[9]  Shaheen Ahmad,et al.  Analysis of robot drive train errors, their static effects, and their compensations , 1988, IEEE J. Robotics Autom..

[10]  William K. Veitschegger,et al.  Robot calibration and compensation , 1988, IEEE J. Robotics Autom..

[11]  Arthur C. Sanderson,et al.  Arm signature identification , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[12]  Steven Dubowsky,et al.  A Parameter Identification Study of Kinematic Errors in Planar Mechanisms , 1975 .

[13]  Samad Hayati,et al.  Improving the absolute positioning accuracy of robot manipulators , 1985, J. Field Robotics.

[14]  Jeff S. Shamma,et al.  A Method for Inverse Robot Calibration , 1987 .

[15]  C. S. George Lee,et al.  Robot Arm Kinematics, Dynamics, and Control , 1982, Computer.