Modelling of Cascade-Connected Systems using Quasi-Orthogonal Functions

Authors

  • D. Antic University of Niš
  • Z. Jovanovic University of Niš
  • V. Nikolic University of Niš
  • M. Milojkovic University of Niš
  • S. Nikolic University of Niš
  • N. Dankovic University of Niš

DOI:

https://doi.org/10.5755/j01.eee.18.10.3051

Keywords:

Genetic algorithms, filters, modelling, transportation system

Abstract

This paper presents a new method for modelling dynamic systems based on quasi-orthogonal functions. First, we defined a new class of Legendre type quasi-orthogonal functions that can be used for signal approximation as well as for modelling, analysis, synthesis, and simulation of dynamic systems, especially systems that suffer from some imperfections. In this paper, functions have been applied in modelling of cascade-connected dynamic system, typical for tire industry. Considered rubber cooling system is a represent of complex, nonlinear, and stochastic systems with imperfections. Developed quasi-orthogonal adjustable models can be used for modelling of arbitrary dynamic systems. Optimal model parameters in the sense of the mean–squared error were obtained using genetic algorithm. For experimental purposes, simplified cascade-connected system with four transporters has been practically realized. The experimental results proved the accuracy, simplicity, and quality of realized quasi-orthogonal model.

DOI: http://dx.doi.org/10.5755/j01.eee.18.10.3051

Downloads

Published

2012-12-10

How to Cite

Antic, D., Jovanovic, Z., Nikolic, V., Milojkovic, M., Nikolic, S., & Dankovic, N. (2012). Modelling of Cascade-Connected Systems using Quasi-Orthogonal Functions. Elektronika Ir Elektrotechnika, 18(10), 3-8. https://doi.org/10.5755/j01.eee.18.10.3051

Issue

Vol. 18 No. 10 (2012)

Section

ELECTRICAL ENGINEERING

License

The copyright for the paper in this journal is retained by the author(s) with the first publication right granted to the journal. The authors agree to the Creative Commons Attribution 4.0 (CC BY 4.0) agreement under which the paper in the Journal is licensed.

By virtue of their appearance in this open access journal, papers are free to use with proper attribution in educational and other non-commercial settings with an acknowledgement of the initial publication in the journal.