The problem of determining the imaging error of the generalized criteria management
Abstract
The problem of determining the imaging error of the generalized criteria management
Incoming article date: 06.10.2017In the article we have considered the actual problem of determining the error in visualization of generalized control criteria. It is indicated that the most common nonlinear interaction of parameters in technical systems is the multiplicative interaction of measured physical quantities. Based on the fact that the physical elements of the processor measuring channel have linear dynamic characteristics, it is concluded that the application of nonlinear transformations for quantitative estimates of the properties of monitoring systems requires linearization, the errors of which undoubtedly affect the accuracy of the final mathematical model and its magnitude may be is estimated and attributed to the methodological error of visualization. The process of linearization is considered for the example of the multiplicative interaction P of measured physical quantities. As a result of the analysis of the properties of many industrial control objects under the conditions of steady-state technological processes, it was found that they are characterized by small fluctuations with respect to the mathematical expectation (no more than 10%), which makes it possible to apply the obtained mathematical models of errors arising in the process of linearizing the measurement equations for control criteria, for design and research works.
Keywords: control objects, measuring system, programmable logic controllers, visualization error, mathematical expectation, adaptive control, linearized measurement equation, measurement error