Choice of free parameters in expansions of discrete-time volterra models using Kautz functions

da Rosa, Alex, Amaral, Wagner C., and Campello, Ricardo J.G.B. (2005) Choice of free parameters in expansions of discrete-time volterra models using Kautz functions. In: IFAC Proceedings (38) pp. 761-766. From: 16th IFAC World Congress, 3-8 July 2005, Prague, Czech Republic.

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Abstract

The present paper involves the approximation of nonlinear systems using Wiener/Volterra models with Kautz orthonormal functions. It focuses on the problem of selecting the free complex pole which characterizes these functions. The problem is solved by minimizing an upper bound of the error arising from the truncated approximation of Volterra kernels using Kautz functions. An analytical solution for the optimal choice of one of the parameters related to the Kautz pole is thus obtained, with the results valid for any-order Wiener/Volterra models. An example illustrates the application of the mathematical results derived.

Item ID: 46802
Item Type: Conference Item (Presentation)
ISBN: 978-0-08-045108-4
Keywords: Kautz functions, nonlinear systems, optimization, Volterra series
Date Deposited: 10 May 2017 01:53
FoR Codes: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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