Generalization of Studies of the Interval Criterion of Steady-State Value in the Measuring Chain with Structural Uncertainty

Abstract

The time limit of the transient process (TP) in the measuring circuit (MC) is determined by known criteria. These criteria use a first-order dynamic link model. Typically, this model is a priori model for the measurement problems discussed above. In on-line mode, the interval criterion (IC) is used. There is a limitation in the form of a critical value of the time constant (TC) to apply the criterion. Previously, it was found that such a restriction exists for the MC model in the form of a dynamic link of the second order. The functional dependence of the critical value on the parameter in the form of the ratio of the second-order dynamic link TC model was found. This restriction on the use of IC develops the fact that there is such a restriction for MC with a first-order model. It is advisable to analyze the performance of the IC for the third-order MC model. These models are widely used in the simulation of measuring channels. Thus, it is possible to generalize such studies. In this study we used a model with transfer function presented in terms of the diagram Vyshnegradsky with parameters and B. In this paper, the IC is analyzed for the area of the aperiodic regime of the MC. The simulation results showed that the functional dependence of the critical value on the parameters is presented as a complex surface. For the bisector of the diagram at A and B>8, the critical value is stabilized and set at the level characteristic of the first order model. Based on the information about the behavior of the critical value of the interval criterion for MC with structural uncertainty, it is possible to construct robust algorithms that implement IC. The time limit of the transient process (TP) in the measuring circuit (MC) is determined by known criteria. These criteria use a first-order dynamic coupling model. Typically, this model is apriori model for the measurement problems discussed above.