When transmitting information and control signals to electrical, electromechanical and mechatronic systems are require reduction to the lowest possible levels of noise interference. For this is substantiated in the general formulation of the one-dimensional problem of determining the sensitivity of a linear stationary optimal Wiener filtration. It is proposed to use the method of local approximation of the spectral densities for the quantitative determination of indicators of sensitivity converting electrical signals from the means of measurement. In relation to the different models produced recommendations on the advisability of accounting the characteristics of the signal deviations from nominal, deviations from the optimal structures and parameters for their implementation and configuration of the filters themselves.
Abstract. Increased productivity of Coordinate Measuring Machines, while providing given level of accuracy, is complex and actual problem of robotics and metrology. Therefore, this article provides a set of mathematical models that allow for prediction of values for performance and accuracy of advanced Coordinate Measuring Machines based on system dynamics method. The analysis of scientific literature and statistical data of exploitation CMMs Global Performance (DEA, Italy), CMM-750 (Lapik, Russia), FARO Arm 9 (FARO Technologies, USA) has identified 25 major factors of the process control and their mutual impact. Of the 16 basic factors are internal system parameters, 6 input actions and 3 external factors. As a result of the system analysis of the research object identifies the main characteristics of coordinate measuring machines that affect performance and measurement accuracy. We have done a general graph of causal relationships between modeled characteristics, on the basis of which is made up and numerically solved a system of nonlinear differential equations. In developing this system of equations is used in statistical data describing the cause-effect relationship between the internal model parameters and environmental factors. These solutions make it possible to practically interpret developed models and methods of system dynamics used in solving the problem.
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