Research On The Theory And Application Technology Of Grey Model For Error Correction Of The Dynamic Measurement

This paper systematically presents the Grey model theory about dynamic measuring errors Correction and its application, initially establishes the errors correction theory & technique of standard signal inserting which are based on the Grey systematic theory and study the unknown Specific property exploits a new way for the dynamic measuring error correction. The paper also produces the real-time error correction Grey theory & method. The basic idea Is: using the standard value inserting the dynamic measuring errors which involve systematical errors and random errors, constructing the original error model which is revised at the same time and follows the variable law of the dynamic measuring errors, establishing a more suitable error model. In brief, the paper presents the following creative results: The dynamic measuring process use the Grey forecast controlling finds the error variation rule, calculates the parameter feedback value, forecast the next point error and at last realizes the standard signal inserting recursive arithmetic. By analysising the Grey model mechanism, we think the Grey model weaken the affection of the randomicity, but strengthen the affection of the regularity. Adopted the equal-dimension-new-information Grey model, the test not only ensures the error data dynamic and real-time, but also let the forecast reflect the error tendency. This paper confine the time sequence analysis method with the Grey?systematical theory to study the dynamic measuring correction technique, establishes one-formed laminated model. This method effectively describes the characteristic of errors, but heavens the computer load, affects the measuring speed. On the basic of Grey plane and area, the paper produces using the Grey area, which the predicted value maybe close to, control the abnormal value during the computer controlling the dynamic measurement. Because of the Grey modeling based on the present systematical token quantity, it doesn't use the method that using the static measurement eliminates the abnormal value, but uses the method of rejecting abnormality supplement to meet the modeling demands. This method not only breaks the classic method, disengages checklist operation, simplifies the abnormal value process, but also practices real-time self-controlling during the measurement. Owing to the precision of the predicted value and the randomicity of the original data and the systematical character of transmitting errors, the paper uses an assessment method to the errors, which is based on the average-square-root-estimate theory, links the Grey systematical method and uses the diffuse manner & degree of the errors. This method more comprehensively reflects the dynamic character of the errors. A dynamic measuring installation of length grating is successively designed. It uses zero-sign grating as standard dot and separates the systematical error from random errors. On the basis of the installation and the analysis of test results, the subject proves the feasibility and correctness of the model theory and the dynamic error correction method. The paper also inquires into the Grey modeling and forecast which are based on NN. Because of the NN model merit such as simulated simultaneity, latitudinal tolerance, self- association and so on, it is feasible in dynamic modeling, forecasting and controlling.