Title :
On the series expansion approach to the identification of Hammerstein systems
Author :
Pawlak, Miroslaw
Author_Institution :
Dept. of Electr. Eng., Manitoba Univ., Winnipeg, Man., Canada
fDate :
6/1/1991 12:00:00 AM
Abstract :
A polynomial identification algorithm for recovering a nonlinearity in the Hammerstein system is proposed. The estimate employs the Legendre orthogonal system with adaptively selected number of terms. The global consistency along with rates of convergence are established. No assumptions concerning continuity of the nonlinearity or its functional form are made. A data-driven method using the cross-validation technique for selecting the number of terms in the estimate is presented
Keywords :
control nonlinearities; convergence of numerical methods; identification; nonlinear systems; series (mathematics); Hammerstein systems; Legendre orthogonal system; convergence; cross-validation; data-driven method; identification; nonlinearity; polynomial; series expansion; Convergence; Density functional theory; Kernel; Nonlinear distortion; Polynomials; Process control; Signal processing; Signal processing algorithms; Smoothing methods; System identification;
Journal_Title :
Automatic Control, IEEE Transactions on
