Robust Interval Criterion Based on the Dynamics of the Transition Process Increments

Abstract

The task of determining the end point (DEP) of the transient process (TP) in the measuring circuit (MC) during testing of complex objects (CO) is currently relevant. The real MC has a priori parametric uncertainty (PU). It is PU that determines the significant dynamic error (DE) of the first kind when determining the end of the dynamic test mode. For example, estimates of the relative error of DEP TP are known to arise due to the improper application of the interval type criterion (ITC) for CO with a first-order dynamic model. The importance of solving this problem is emphasized by its inclusion in Russian and foreign standards on methods of conducting CO tests in various technologies. Previously, we found the presence of a critical constant criterion (CCC), which is determined by the nominal value of the system parameter (SP) PU. Such a modified interval criterion should ensure acceptable DEP quality. Robust properties are provided due to a specially developed algorithm for the functioning of the ITC. Based on the analysis of the dynamics of the increments of the deterministic TP signal, a criterion for evaluating the quality of automatic monitoring of the duration of the observation interval (DOI) control is developed. Moreover, the evaluation criterion has a quadratic character, which made it possible to apply extreme control methods. A block diagram of the DOI control based on the processing of the TP measurement signal is developed. A digital simulation of the modified interval criterion is performed. The simulation showed the effectiveness of the proposed solution of the DEP TP problem in the possible range of variations of the MC mathematical model. Moreover, the solution is guaranteed to provide DE at the acceptable level.