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Cluster analysis of NARMAX models for signal-dependent systems

Cluster analysis of NARMAX models for signal-dependent systems

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  • Author(s): L.A. Aguirre 1  and  C.R.F. Jácome 2
    • View affiliations
    • Affiliations: 1: Departamento de Engenharia Eletrônica, Centro de Pesquisa e Desenvolvimento em Engenharia Elétrica, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
      2: Departamento de Engenharia Eletrônica, Centro de Pesquisa e Desenvolvimento em Engenharia Elétrica, Federação das Indústrias do Estado de Minas Gerais (FIEMG), Belo Horizonte, Brazil
  • Source: Volume 145, Issue 4, July 1998, p. 409 – 414
    DOI:  10.1049/ip-cta:19982112 , Print ISSN 1350-2379, Online ISSN 1359-7035
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The structure of NARMAX models is described. No new algorithm for structure selection is proposed, but rather the paper investigates how different model structures are produced by a large class of nonlinearities in the system which generates the data. The concept of term clusters is used to understand how different types of terms are required to model nonlinear systems. A term cluster generating mechanism is suggested, this can be used not only to understand how certain types of terms appear in NARMAX models but also, in the case of prior knowledge, such a mechanism can serve as an aid to select the structure of nonlinear models. The results are quite general and can be applied to polynomial, rational and extended-set NARMAX representations.

Inspec keywords: identification; pattern recognition; polynomials; nonlinear systems; autoregressive moving average processes

Other keywords: nonlinear systems; cluster analysis; signal-dependent systems; rational representations; NARMAX models; term clusters; polynomial representations; extended-set NARMAX representations; nonlinearities

Subjects: Other topics in statistics; Pattern recognition; Simulation, modelling and identification; Information theory; Algebra

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