Abstract: A robot teaching machine according to the present invention includes a guiding tool having a first angle sensor, a coordinate detector having a plurality of rotating portions and a second angle sensor for detecting a rotational angle of each of the rotating portions, a first motion transfer member for detecting a distance between the guiding tool and the coordinate detector that are connected with each other, a second motion transfer member for connecting the guiding tool and the coordinate detector and detecting an attitude of the guiding tool, and a coordinate converter for deriving a three-dimensional position and an attitude of the guiding tool from values detected by the first and the second angle sensors, respectively. The first motion transfer member and the second motion transfer member independently work for providing precise guiding data.

Abstract: A robot controller for having a workpiece held by a robot and having the workpiece machined by moving it relative to a stationary tool. The robot controller can control the velocity of relative motion, against the tool, of a machining point on the workpiece. At each teaching point, a transformation matrix is calculated to convert a position matrix of the flange center as teaching data (i.e., 4.times.4 matrix giving position and attitude in homogeneous coordinates) into a position matrix of the tool tip. Between two adjacent teaching points, interpolation points are set according to a specified velocity. Transformation matrices applicable to the two teaching points are put to interpolation calculations to provide a transformation matrix at each interpolation point. An inverse matrix of the transformation matrix at each interpolation point is applied to the position matrix for the tool tip. This allows the position matrix for the flange center keyed to each interpolation point to be calculated.