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ICASSP
2011
IEEE

Identification of MISO nonlinear systems via the semiparametric approach

9 years 3 months ago
Identification of MISO nonlinear systems via the semiparametric approach
In this paper we examine a class of multiple-input, singleoutput (MISO) nonlinear systems of the block-oriented structure. In particular, we focus on MISO Hammerstein systems being the cascade connection of a multivariate nonlinearity with a linear dynamical subsystem. In order to alleviate an apparent curse of dimensionality occurring in the problem of estimating the nonlinearity, we propose to a semi-parametric strategy for identification of the nonlinear system. This is carried out by projecting the d−dimensional input signal onto one dimensional subset which, in turn, is mapped by a univariate nonparametric function to an internal unobserved signal of the system. Such a parsimonious representation allows us to overcome the curse of dimensionality as the accuracy of our identification algorithms is independent of d. We identify the system via the semi-parametric version of the leastsquares. The statistical accuracy of the resulting estimates is obtained via the theory of M− e...
Jiaqing Lv, Miroslaw Pawlak
Added 29 Aug 2011
Updated 29 Aug 2011
Type Journal
Year 2011
Where ICASSP
Authors Jiaqing Lv, Miroslaw Pawlak
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