Non-parametric orthogonal series identification of Hammerstein systems

DOI10.1080/00207728908910318zbMath0688.93062OpenAlexW2105731272MaRDI QIDQ4207857

Włodzimierz Greblicki

Publication date: 1989

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728908910318

zbMATH Keywords

Hammerstein functionalHermite orthogonal series

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Identification in stochastic control theory (93E12)

Related Items (18)

On identification of block orientated systems by non-parametric techniques ⋮ Recursive identification of continuous-time Hammerstein systems ⋮ Unnamed Item ⋮ Generalized Kernel Regression Estimate for the Identification of Hammerstein Systems ⋮ Identification of non-linear characteristics of a class of block-oriented non-linear systems via Daubechies wavelet-based models ⋮ Hammerstein system identification by non-parametric instrumental variables ⋮ Modelling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm ⋮ A nonparametric kernel-based approach to Hammerstein system identification ⋮ Model selection approaches for non-linear system identification: a review ⋮ Identification of MIMO Hammerstein models using least squares support vector machines ⋮ Parameter identification of a class of Hammerstein plants ⋮ Wiener and Hammerstein uncertain models identification ⋮ On-line wavelet estimation of Hammerstein system nonlinearity ⋮ A model-based PID controller for Hammerstein systems using B-spline neural networks ⋮ System identification based on Hammerstein model ⋮ Neural network approach for identification of Hammerstein systems ⋮ System identification of Wiener systems with B-spline functions using De Boor recursion ⋮ Non-linear system identification using Hammerstein and non-linear feedback models with piecewise linear static maps

Cites Work

• Fourier and Hermite series estimates of regression functions
• Properties of Hermite series estimation of probability density
• On convergence and growth of partial sums of Fourier series
• Non-linear system identification using the Hammerstein model
• An iterative method for the identification of nonlinear systems using a Uryson model
• Identification of a class of non-linear systems†

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