Share:


Parametric Complexity Reduction of Discrete-Time Linear Systems Having a Slow Initial Onset or Delay

    Abdelkader Krifa Affiliation
    ; Kais Bouzrara Affiliation

Abstract

This paper is concerned with an optimal expansion of linear discrete time systems on Meixner functions. Many orthogonal functions have been widely used to reduce the model parameter number such as Laguerre functions, Kautz functions and orthogonal basis functions. However, when the system has a slow initial onset or delay, Meixner functions, which have a slow start, are more suitable in terms of providing a more accurate approximation to the system. The optimal approximation of Meixner model is ensured once the pole characterizing the Meixner functions is set to its optimal value. In this paper, a new recursive representation of Meixner model is proposed. Further we propose, from input/output measurements, an iterative pole optimization algorithm of the Meixner pole functions. The method consists in applying the Newton-Raphson’s technique in which their elements are expressed analytically by using the derivative of the Meixner functions. Simulation results show the effectiveness of the proposed optimal modeling method.

Keyword : parametric complexity reduction, Meixner functions, pole optimization, recursive representation

How to Cite
Krifa, A., & Bouzrara, K. (2016). Parametric Complexity Reduction of Discrete-Time Linear Systems Having a Slow Initial Onset or Delay. Mathematical Modelling and Analysis, 21(5), 668-684. https://doi.org/10.3846/13926292.2016.1208119
Published in Issue
Sep 20, 2016
Abstract Views
311
PDF Downloads
206
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.