Inaccuracies Revealed During the Analysis of Propagation of Measurement Uncertainty Through a Closed-Loop Fractional-Order Control System

摘要

The purpose of an automatic control is to provide the best quality of the output signal of a controlled object. This quality is dependent on the type and tuning parameters of the used controller and on the properties of a transducer measuring the output signal. In this work, it was considered how the imperfections of the transducer propagate by the fractional-order (FO) control system. It was revealed that the assumed approximation method of FO derivation changes the trajectory of the output signal and also has an influence on the steady-state value. In turn, the measurement uncertainty estimation should take into account the analysis of the occurrence of oscillations, arising from drifts of imperfect components, that may exceed the permissible errors of the measuring transducer.