### Abstract

Original language | English |
---|---|

Title of host publication | International Conference on CONTROL 2010 |

Publisher | IET |

Pages | 530-535 |

ISBN (Print) | e-ISBN 978-1-84600-038-6 |

DOIs | |

Publication status | Published - 2010 |

### Fingerprint

### Keywords

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

### Cite this

*International Conference on CONTROL 2010*(pp. 530-535). IET. https://doi.org/10.1049/ic.2010.0338

**Design and analysis of non-uniform rate digital controllers.** / Khan, Samir; Goodall, Roger M.; Dixon, Roger.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*International Conference on CONTROL 2010.*IET, pp. 530-535. https://doi.org/10.1049/ic.2010.0338

}

TY - CHAP

T1 - Design and analysis of non-uniform rate digital controllers

AU - Khan, Samir

AU - Goodall, Roger M.

AU - Dixon, Roger

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - non-uniform sampling

KW - Fourier analysis

KW - delta operator

KW - digital control

U2 - 10.1049/ic.2010.0338

DO - 10.1049/ic.2010.0338

M3 - Chapter

SN - e-ISBN 978-1-84600-038-6

SP - 530

EP - 535

BT - International Conference on CONTROL 2010

PB - IET

ER -