The identification of nonlinear biological systems: Wiener and Hammerstein cascade models
Biological Cybernetics
Identification and stochastic adaptive control
Identification and stochastic adaptive control
Adaptive control of Weiner type nonlinear systems
Automatica (Journal of IFAC)
Recursive prediction error identification using the nonlinear Wiener model
Automatica (Journal of IFAC) - Special section on fault detection, supervision and safety for technical processes
Identification of certain time-varying nonlinear Wiener andHammerstein systems
IEEE Transactions on Signal Processing
Frequency identification of nonparametric Wiener systems containing backlash nonlinearities
Automatica (Journal of IFAC)
Consistent identification of Wiener systems: A machine learning viewpoint
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
The paper concerns identification of the Wiener system consisting of a linear subsystem followed by a static nonlinearity f(.) with no invertibility and structure assumption. Recursive estimates are given for coefficients of the linear subsystem and for the value f(v) at any fixed v. The main contribution of the paper consists in establishing convergence with probability one of the proposed algorithms to the true values. This probably is the first strong consistency result for this kind of Wiener systems. A numerical example is given, which justifies the theoretical analysis.