Design and analysis of non-uniform rate digital controllers

Mohammad S. Khan, Roger M. Goodall, Roger Dixon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 publicationUKACC International Conference on CONTROL 2010
EditorsKeith J. Burnham, Vincent E. Ersanilli
PublisherIET
Pages530-535
Number of pages6
ISBN (Print)9781846000386
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventUKACC International Conference on CONTROL 2010 - Coventry, United Kingdom
Duration: 7 Sep 201010 Sep 2010
https://www.worldcat.org/title/ukacc-international-conference-on-control-2010-proceedings-7-10-september-2010-coventry-england/oclc/860758050

Conference

ConferenceUKACC International Conference on CONTROL 2010
Abbreviated titleCONTROL 2010
CountryUnited Kingdom
CityCoventry
Period7/09/1010/09/10
Internet address

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Cite this

Khan, M. S., Goodall, R. M., & Dixon, R. (2010). Design and analysis of non-uniform rate digital controllers. In K. J. Burnham, & V. E. Ersanilli (Eds.), UKACC International Conference on CONTROL 2010 (pp. 530-535). [0338] IET. https://doi.org/10.1049/ic.2010.0338