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Repeat dynamic measurement data processing method based on grey system theory

A gray system theory and dynamic measurement technology, applied in the direction of measuring devices, complex mathematical operations, instruments, etc., can solve problems such as uncertain measurement results, inability to obtain all measurement system characteristics, and errors

Inactive Publication Date: 2009-04-01
BEIHANG UNIV
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Problems solved by technology

Due to the certain error of the measuring instrument itself as a standard quantity, coupled with the influence of the measurement environment, the characteristics of the measurement system cannot be fully obtained, and the measurement results are uncertain to a certain extent.

Method used

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  • Repeat dynamic measurement data processing method based on grey system theory
  • Repeat dynamic measurement data processing method based on grey system theory
  • Repeat dynamic measurement data processing method based on grey system theory

Examples

Experimental program
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Embodiment Construction

[0073] Carry out dynamic measurement on a standard sinusoidal voltage signal x=10sin(2πt)V, repeat 4 times, as shown in Figure 3, carry out sampling discretization (sampling 128 points per cycle), get 4 times of dynamic measurement data and standard The measurement is shown in Table 1, and the gray method introduced in this paper is used to process the dynamic measurement data as follows.

[0074] Table 1 Sampling data of four repeated dynamic measurements (voltage / V)

[0075]

[0076] According to step 2, for the incoming dynamic measurement data sequence {y h (k), k=1,...,n; h=1,...,m} The measured values ​​at each time sampling point are averaged. have to: y ^ ( 1 ) = 1 4 ...

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Abstract

The invention provides a repeated dynamic measurement data processing method based on a grey system theory, comprising the steps as follows: 1. a signal x(t) to be measured is measured by a dynamic measurement system; according to detailed measurement function operation, discrete sampling is carried out to sampling points at all time; and the dynamic measurement data sequence is obtained after the error correcting data of the corresponding measurement system is accumulated; 2. in a repeated dynamic measurement data processing system, the entered dynamic measurement data sequence and values on sampling points at all time are averaged; 3. the dynamic measurement average value is calculated according to an orthogonal polynomial high-order data fitting principle, thus working out a dynamic measurement expected function y(t) fitting curve model; 4. the measured values on the sampling points at all time are accumulatively added according to the grey system theory, and an grey estimation technique used for uncertainty is used for working out the uncertainty of the dynamic measurement standard on the sampling points at all time; curve fitting is carried out, thus obtaining the dynamic measurement uncertainty function mathematic model u(t); and 5. dynamic measurement expected function fitting curve model in the step 3 and the dynamical measurement uncertainty function model are combined.

Description

(1) Technical field [0001] The invention relates to a method for processing repetitive dynamic measurement data based on gray system theory, and belongs to the technical field of measurement and measurement. (2) Background technology [0002] With the development of science and technology, in the field of engineering technology, when measuring parameters such as displacement, vibration, velocity, acceleration, stress and strain, and pressure, as well as measuring various parameters in optics, acoustics, thermodynamics, and electricity, more and more attention is paid to dynamic testing. and its data processing. The dynamic test data contains a large amount of information about the measured physical quantity, the measuring instruments used, and the interference added by the external environment. Correctly analyzing and processing the dynamic test data can obtain a lot of useful information reflecting the laws of objective things. [0003] Compared with static measurement, dy...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01D3/02G06F17/10
Inventor 王中宇葛乐矣
Owner BEIHANG UNIV
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