Spatial positioning error measuring device and measuring method
A technology of error measurement and spatial positioning, which is applied in the field of robotics, can solve the problems of inapplicable robot in-position error real-time measurement, positioning device error measurement, and large positioning error size, etc., to achieve simple structure, high precision, and simple error measurement method Effect
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Embodiment 1
[0040] Such as Figure 1-2 As shown, the spatial positioning error measurement device and its measurement method include X rods, Y rods, Z rods, X rods, Y rods, X rods, Y rods, The Z rods are respectively equipped with high-precision laser ranging sensors for measuring the distance from the origin of the coordinate system to the bottom measurement reference surface 6, the left measurement reference surface 2, and the rear measurement reference surface 10, wherein the bottom measurement reference surface 6 is a horizontal plane , the left measurement reference surface 2 and the rear measurement reference surface 10 are two vertical surfaces perpendicular to each other and perpendicular to the bottom measurement reference surface;
[0041] The X-axis horizontal inclination sensor 7 and the Y-axis horizontal inclination sensor 4 are respectively connected to the X-axis horizontal inclination angle sensor 4 for measuring the horizontal inclination angle of the x and y coordinate a...
Embodiment 2
[0048] The measuring method of space positioning error measuring device, on the basis of embodiment 1, comprises the following steps:
[0049] (1) The transformation relationship between the measurement coordinate system {M} and the world coordinate system {W} is expressed as:
[0050]
[0051] Among them, T x (x M ), T y (y M ), T z (z M ) are respectively the homogeneous matrix of {W} to {M} moving transformation, R z (ψ), R y″ (θ) are the homogeneous matrices of {M} successively rotating and transforming around the z axis, x' axis and y" axis;
[0052]
[0053]
[0054]
[0055] (2) Obtain the angle ψ that the measurement coordinate system {M} rotates around the z-axis through the magnetic field direction sensor 1, that is, ∠bO M b';
[0056] (3) Obtain the angle that the measurement coordinate system {M} rotates around the x' axis through the Y-axis horizontal inclination sensor 4 That is, ∠b″O [k] b';
[0057] (4) Obtain the angle α between the ...
Embodiment 3
[0065] On the basis of Embodiment 2, under ideal conditions, the x, y, z coordinate axes of the measurement coordinate system {M} are orthogonal to the zy, zx, xy planes of the reference world coordinate system and three points a, b, and c respectively. Due to the positioning error of the robot base on the secondary positioning device, the measuring device deflects following the robot base, and the result of the deflection is expressed in Euler angles: the measurement coordinate system rotates around the z axis by ψ, and around the x’ axis Rotate θ around the y" axis to get the final state. The x"', y"', z"' coordinate axes of the final measurement coordinate system {M} are orthogonal to the zy, zx, xy planes of the reference world coordinate system and a" ', b"', c"' three points. Measure the Euler rotation representation of the coordinate system {M} relative to the world coordinate system {W}, that is, formula (1);
[0066] image 3 In the rotation transformation, the angl...
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