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A fast identification algorithm for systems with delayed inputs

Author

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  • Kaouther Ibn Taarit
  • Lotfi Belkoura
  • Mekki Ksouri
  • Jean-Pierre Richard

Abstract

A fast identification algorithm is proposed for systems with delayed inputs. It is based on a non-asymptotic distributional estimation technique initiated in the framework of systems without delay. Such a technique leads to simple realisation schemes, involving integrators, multipliers and piecewise polynomial or exponential time functions. Thus, it allows for a real-time implementation. In order to introduce a generalisation to systems with input delay, three simple examples are presented here. The first illustration is a first-order model with delayed input and noise. Then, a second-order system driven through a transmission line is considered. A third example shows a possible link between simultaneous identification and generalised eigenvalue problems.

Suggested Citation

  • Kaouther Ibn Taarit & Lotfi Belkoura & Mekki Ksouri & Jean-Pierre Richard, 2011. "A fast identification algorithm for systems with delayed inputs," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 449-456.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:449-456
    DOI: 10.1080/00207720903572448
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