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

S. H. Nasehi, M. Samavat, M. A. Vali


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.


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

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eISSN 0975-5748; pISSN 0974-875X