FEATURES OF SYNTHESIS OF REVERSE OPERATOR OF STATIC STRUCTURALLY REDUNDANT MEASURING SYSTEM

Abstract

Background. The relevance of the topic of work is due to the need to find an accurate assessment of the inverse function of converting adaptive and intelligent measuring instruments during their calibration and measurement. The purpose of the work is to consider the characteristics of the synthesis of the reverse operator of the static structural excess measuring system when conducting preliminary metrological tests with a given accuracy when exposing the measuring system to various kinds of destabilizing factors. Materials and methods. The necessary and sufficient conditions of synthesis of the inverse operator of the static structure-redundant measuring system in explicit form are considered. Results. It is shown that the synthesis of the inverse operator of the static structure-redundant measuring system with a given accuracy in the process of preliminary metrological tests is a quasi-optimal procedure compared to the synthesis of the direct operator due to uncertainty and «non-standard» area of its definition. A quasioptimal procedure for identifying the inverse operator of a structurally redundant measurement system is proposed, which allows, using a preliminary calculation of the introduced quasi-optimal coefficient for a particular type of measurement system, to solve the problem of minimizing the costs of metrological tests when constructing the inverse operator of a static structurally redundant measurement system with a given accuracy and fully use methods of optimal experiment theory. Conclusions. Taking into account the quasi-optimality of the procedure for synthesizing the inverse operator of a structurally redundant measuring system using the introduced coefficient allows for a specific type of measuring system to choose a sufficiently effective identification procedure in the sense of minimizing the maximum or average variance of the estimate of the measured value (G- or Q-optimality criteria), as well as to plan metrological tests in the «standard» area in the form of an n-dimensional hypercube.

Keywords

• inverse operator
• structural redundancy
• invariance
• destabilizing factors
• quasi-optimality