The invention relates to an assembly for the positioning and position detection of a deformable load-bearing plate, having a driving parallel kinematics system with a plurality of drive legs, wherein the load-bearing plate forms a constituent part of the driving parallel kinematics system or is fixed rigidly on a platform thereof, a reference parallel kinematics system with a substantially deformation-free reference plate which is formed by the platform of the reference parallel kinematics system or is fixed rigidly thereto and which is positioned underneath the load-bearing plate, and a plurality of reference legs, a sensor assembly which comprises a plurality of leg length measurement devices arranged in the reference legs and also a plurality of distance sensors arranged on the reference plate for point-wise or region-wise detection of the distance of the reference plate from the load-bearing plate, and a position-calculating unit which is connected at the input side to the leg length measurement devices and to the distance sensors and which processes the output signals of the leg length measurement devices and distance sensors to give a position map of the load-bearing plate.
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