Discrete control: Theoretical background

Discrete control
z-transform
Frequency domain
Stability
Aperiodicity
Fourier transform
White noise
Variance ratio
2023
.Conference presentation
Research Methods Center: Operations Analytics Event, University of Exeter Business School, April 17th-19th, UK.
Author

S.M. Disney

Published

April 18, 2023

Abstract

An overview of discrete linear control theory is given. Topics covered include: Dynamical systems and difference equations. The z-transform. The time and the frequency domain. Test responses - Impulse, step, ramp, parabolic. Initial value theorem and final value theorem. The poles and zeros of the transfer function. Stability. Aperiodicity. The Fourier transform and the frequency response. White noise variance ratio analysis