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Sba: Controle & Automação Sociedade Brasileira de Automatica
Print version ISSN 0103-1759
CAMPELLO, Ricardo J. G. B.; OLIVEIRA, Gustavo H. C. and AMARAL, Wagner C.. Identificação e controle de processos via desenvolvimentos em séries ortonormais. Parte A: identificação. Sba Controle & Automação [online]. 2007, vol.18, n.3, pp.301-321. ISSN 0103-1759. http://dx.doi.org/10.1590/S0103-17592007000300004.
In this paper, an overview about the identification of dynamic systems using orthonormal basis function models, such as those based on Laguerre and Kautz functions, is presented. The mathematical foundations of these models as well as their advantages and limitations are discussed within the contexts of linear, robust, and nonlinear identification. The discussions comprise a broad bibliographical survey on the subject and a comparative analysis involving some specific model realizations, namely, linear, Volterra, fuzzy, and neural models within the orthonormal basis function framework. Theoretical and practical issues regarding the identification of these models are also presented and illustrated by means of two case studies related to a polymerization process.
Keywords : Modeling; Orthonormal Basis Functions; Laguerre; Kautz; GOBFs; Linear Identification; Robust Identification; Nonlinear Identification; Volterra Models; Fuzzy Models; Neural Networks.