Analysis and Parameter Identification of Time-delay Systems using the Chebyshev Wavelets

Authors

  • S. H. Nasehi Department of Electrical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
  • M. Samavat Department of Electrical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
  • M. A. Vali Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

DOI:

https://doi.org/10.26713/jims.v4i1.67

Keywords:

Time-delay systems, Chebyshev wavelets, System Analysis, System identification, Delay matrix

Abstract

A delay matrix $T_d$ is derived and used along with the Chebyshev matrix of integration in a new algorithm for analysis and parameter identification of time-delay systems. The method reduces the problem to a set of algebraic equations. In addition, the Chebyshev wavelets are more successful in analyzing and identifying time-delay systems when compared with the other algorithms (polynomial series). The examples support this claim.

Downloads

Download data is not yet available.

Downloads

CITATION

How to Cite

Nasehi, S. H., Samavat, M., & Vali, M. A. (2012). Analysis and Parameter Identification of Time-delay Systems using the Chebyshev Wavelets. Journal of Informatics and Mathematical Sciences, 4(1), 51–64. https://doi.org/10.26713/jims.v4i1.67

Issue

Vol. 4 No. 1 (2012)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.