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.

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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 Article

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