Campello, Ricardo R.J.G.B., Amaral, W.C., and Favier, G. (2001) Optimal Laguerre series expansion of discrete Volterra models. In: Proceedings of the 2001 European Control Conference. pp. 372-377. From: EEC: 2001 European Control Conference, 4-7 September 2001, Porto, Portugal.

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Abstract

This paper is concerned with the selection of optimal Laguerre bases for the orthonormal series expansion of discrete-time Volterra models. The aim is to minimize the number of functions needed to provide a given approximation accuracy, thus simplifying the modeling and control problems associated with these models. This issue was addressed by Fu and Dumont [8] focusing on linear systems, which are equivalent to a first-order Volterra model. The present work is a generalization of the work mentioned above focusing on second-order models. The main result is an analytic strict global solution for the optimal expansion of the second-order Volterra kernel. An example is provided to illustrate some theoretical aspects of the mathematical results presented in the paper.

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