Abstract
One of the most important tasks in the assembly of large-sized products is the control of structural elements deformations under different types of loading in static and dynamic modes. The best results in solving this problem can be obtained using laser automated measuring systems, such as laser scanners and laser trackers. A mathematical model of multilateration measuring system is constructed and measurement uncertainty equations are obtained. In this case, the error function value, which is the difference between the errors in determining the coordinates of the reference points and the controlled points of the measurement object, should be minimal. This mathematical model will be further used to select the measuring system optimal configuration for multilateration control of the tank in the static loading process.
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