Design and analysis of non-uniform rate digital controllers

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

Authors

Colleges, School and Institutes

External organisations

  • Loughborough University

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.

Details

Original languageEnglish
Title of host publicationUKACC International Conference on CONTROL 2010
Publication statusPublished - 1 Dec 2010
EventUKACC International Conference on CONTROL 2010 - Coventry, United Kingdom
Duration: 7 Sep 201010 Sep 2010

Conference

ConferenceUKACC International Conference on CONTROL 2010
CountryUnited Kingdom
CityCoventry
Period7/09/1010/09/10

Keywords

  • Delta operator, Digital control, Fourier analysis, Non-uniform sampling

ASJC Scopus subject areas