Design and analysis of non-uniform rate digital controllers

Samir Khan, Roger M. Goodall, Roger Dixon

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)
3 Downloads (Pure)

Abstract

Various applications in digital systems require the involvement of concepts from signal processing and filtering. These specific problems often need the linear dynamic systems to have a transfer function that can specify the behavioural characteristics of the system. When operating in the digital domain, such functions can effectively be used to approximate the same characteristics over the frequency range of importance as any given continuous-time transfer function. In the case with uniform sampling, linear systems theory can directly provide an answer to determine the frequency response. However, when the element of randomness is added to the sample rate of the discrete controller, the common analysis technique of substituting z=ejw will not give the correct result. This paper therefore places an emphasis on the Fourier analysis and highlights a technique to compute the magnitude and phase of a non-uniform rate transfer function at various frequencies in the time domain.
Original languageEnglish
Title of host publicationInternational Conference on CONTROL 2010
PublisherIET
Pages530-535
ISBN (Print)e-ISBN 978-1-84600-038-6
DOIs
Publication statusPublished - 2010

Keywords

  • non-uniform sampling
  • Fourier analysis
  • delta operator
  • digital control

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    Khan, S., Goodall, R. M., & Dixon, R. (2010). Design and analysis of non-uniform rate digital controllers. In International Conference on CONTROL 2010 (pp. 530-535). IET. https://doi.org/10.1049/ic.2010.0338