The device for control objects identification: Getting temporal dynamic characteristics

V. I. Goncharov, V. A. Onufriev, E. S. Perebeynosova

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

Abstract

The authors consider the problem of numerical inversion of Laplace transform using its values of the Laplace-image defined on the positive real half-axis of the complex plane. The main distinction of the proposed path associated with the method of forming these values. This path is based on a special case of the direct formula of the Laplace transform, when complex variable degenerates into a real variable. As a result, they continue getting image-function, but these functions have an important feature for numerical problems - they have a real argument. The presence of a continuous-time function allows implementing her sampling more reasonably, for example, taking into account the properties of the differentiating features. One more attractive possibility - generalization sampling, conversion and interpolation algorithms for transfer functions with irrational and transcendental expressions. The paper presents the necessary information about obtaining of real functions images and their usage in problems of the Laplace transform inversion. The method is based on the representation of function originals as a segment of series on the exponential Chebyshev polynomials. An example is given.

Original languageEnglish
Title of host publicationAdvanced Materials Research
PublisherTrans Tech Publications Ltd
Pages631-638
Number of pages8
Volume1006-1007
ISBN (Print)9783038352075
DOIs
Publication statusPublished - 2014
Event4th International Conference on Advanced Engineering Materials and Technology, AEMT 2014 - Xiamen, China
Duration: 14 Jun 201415 Jun 2014

Publication series

NameAdvanced Materials Research
Volume1006-1007
ISSN (Print)10226680
ISSN (Electronic)16628985

Other

Other4th International Conference on Advanced Engineering Materials and Technology, AEMT 2014
CountryChina
CityXiamen
Period14.6.1415.6.14

Keywords

  • Automatic control systems
  • Chebyshev polynomials
  • Inverse laplace transform
  • Laplace transform
  • Real interpolation method

ASJC Scopus subject areas

  • Engineering(all)

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