Optimization of Volterra models with asymmetrical kernels based on generalized orthonormal functions

Márcio F. Braga*, Jeremias B. MacHado, Ricardo J.G.B. Campello, Wagner C. Do Amaral

*Kontaktforfatter

Publikation: Kapitel i bog/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

Abstract

An improved approach to determine exact search directions for the optimization of Volterra models based on Generalized Orthonormal Bases of Functions (GOBF) is proposed. The proposed approach extends the work in [7], where a novel, exact technique for optimizing the GOBF parameters (poles) for Volterra models of any order was presented. The proposed extensions take place in two different ways: (i) the formulation here is derived in such a way that each multidimensional kernel of the model is decomposed into a set of independent orthonormal bases (rather than a single, common basis), each of which is parameterized by an individual set of poles intended for representing the dominant dynamic of the kernel along a particular dimension; and (ii) a novel, more computationally efficient method to analytically and recursively calculate the search directions (gradients) for the bases poles is derived. A simulated example is presented to illustrate the performance of the proposed approach. A comparison between the proposed method, which uses asymmetric kernels with multiple orthonormal bases, and the original method, which uses symmetric kernels with a single basis, is presented.

OriginalsprogEngelsk
Titel2011 19th Mediterranean Conference on Control and Automation, MED 2011
ForlagIEEE
Publikationsdato2011
Sider1052-1058
Artikelnummer5983003
ISBN (Trykt)9781457701252
DOI
StatusUdgivet - 2011
Udgivet eksterntJa
Begivenhed2011 19th Mediterranean Conference on Control and Automation, MED 2011 - Corfu, Grækenland
Varighed: 20. jun. 201123. jun. 2011

Konference

Konference2011 19th Mediterranean Conference on Control and Automation, MED 2011
Land/OmrådeGrækenland
ByCorfu
Periode20/06/201123/06/2011
SponsorMediterranean Control Association

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