Publication result detail

System Modelling Using Generalized Orthonormal Base Functions

VÁCLAVEK, P.

Original Title

System Modelling Using Generalized Orthonormal Base Functions

English Title

System Modelling Using Generalized Orthonormal Base Functions

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

This work deals with design of the algorithm for model construction and parameters estimation in frequency domain using a set of orthonormal base functions. The article presents the algorithm that uses two measured points of frequency response of linear dynamic system with continuous time to construct rough second order model with time delay. The next part of the work goes into the task of modelling dynamic systems with discrete time using orthonormal base functions and into parameters estimation based on measurement of the series of frequency response points. Properties of orthonormal bases allow us to induce simpler formula for least squares method. Method originally developed for identification of systems with discrete time is also used for continuous time systems where bilinear transform is used as an interconnection between continuous time and discrete time domain. The work also deals with frequency response points measurement. The simple method based on relay feedback with auxiliary time delay has been developed. This method uses method of harmonic linearization to compute points of frequency response at given frequencies.

English abstract

This work deals with design of the algorithm for model construction and parameters estimation in frequency domain using a set of orthonormal base functions. The article presents the algorithm that uses two measured points of frequency response of linear dynamic system with continuous time to construct rough second order model with time delay. The next part of the work goes into the task of modelling dynamic systems with discrete time using orthonormal base functions and into parameters estimation based on measurement of the series of frequency response points. Properties of orthonormal bases allow us to induce simpler formula for least squares method. Method originally developed for identification of systems with discrete time is also used for continuous time systems where bilinear transform is used as an interconnection between continuous time and discrete time domain. The work also deals with frequency response points measurement. The simple method based on relay feedback with auxiliary time delay has been developed. This method uses method of harmonic linearization to compute points of frequency response at given frequencies.

Keywords

orthonormal bases, least squares method, Laguere functions, system modelling, parameters estimation, frequency domain

Key words in English

orthonormal bases, least squares method, Laguere functions, system modelling, parameters estimation, frequency domain

Authors

VÁCLAVEK, P.

Released

15.09.2004

ISBN

1726-9687

Periodical

DAAAM International Scientific Book

Volume

2004

Number

9

State

Republic of Austria

Pages from

611

Pages to

625

Pages count

15

BibTex

@article{BUT42196,
  author="Pavel {Václavek}",
  title="System Modelling Using Generalized Orthonormal Base Functions",
  journal="DAAAM International Scientific Book",
  year="2004",
  volume="2004",
  number="9",
  pages="611--625",
  issn="1726-9687"
}