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

  • Józef WioraEmail author
  • Alicja Wiora
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 559)


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.


PID controller Steady-state error Oustaloup filter Uncertainty evaluation 



This work was funded by the Polish Ministry of Science and Higher Education (Grant No. 02/010/BK_18/0102).


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Automatic ControlSilesian University of TechnologyGliwicePoland

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