the Geometric Meaning of Accuracy and Repeatability
An industrial robot has many metrology or measurable characteristics, which will have a direct impact on the effectiveness of the robot during the execution of its tasks. The main measurable characteristics are repeatability and accuracy. Roughly speaking, the repeatability of a robot might be defined as its ability to achieve repetition of the same task. On the other hand, accuracy is the difference (i.e. the error) between the requested task and the obtained task (i.e. the task actually achieved by the robot). In robotics, when talking about repeatability and accuracy, their meanings are often confused. So, repeatability is doing the same task over and over again, while accuracy is hitting your target each time.
First, let’s introduce the main characteristics of a robot whose repeatability and accuracy are likely to be important to evaluate: path, position and orientation. These are the factors that you want to assure you are achieving each and every time you set your robot and end-effector in motion. The combination of position and orientation with the robot’s end-effector is called a pose. Furthermore, the pose accuracy generally will have some effect on the path accuracy, which because of its inherent movement is a dynamic characteristic. However, in order to avoid confusion in this short paper, we will focus on static characteristics without considering motion effects. Therefore, only the pose accuracy and repeatability will be discussed. The pose accuracy and repeatability of the robot are divided into the two previously mentioned components: position and orientation. To simplify even further, the following explanations are set forth describing position only, though they can be extended to orientation as well.
The absolute position accuracy is the ability of the robot to reach a specific programmed position with a minimum of error. Note that here we use the word absolute to refer to the fact that the position accuracy is evaluated with respect to a unique reference frame, mainly the work reference frame (or the world reference frame). Often these are arbitrary frames of reference used specifically to measure the variations in position accuracy. To assess the static accuracy of the robot movement, the position measurements are carried out after a complete stop of the end-effector’s movement (regardless of the path taken to reach the desired position) from the previous pose of the end-effector.
Geometrically, the position accuracy of the robot for a given position can be defined as being the distance between the desired position and the centroid position (centroid is the mean position of all the points in all of the coordinate directions) which is actually achieved after repetitive movements of the end-effector toward the original desired position (see the Figure below). Mathematically, absolute accuracy is the compilation of the composed errors for each of the x, y, z cartesian positional errors. Finally, the robot position accuracy for a specific workspace can be described as the maximum composed error available for several positions uniformly distributed inside the predetermined workspace or reference frame.
Post time: Mar-25-2019