Identification of multiple-input single-output Hammerstein models using Bezier curves and Bernstein polynomials

Bezier curves and surfaces based on modified Bernstein polynomials

. Parametric curves are represented using these modified Bernstein basis and the concept of total positivity is applied to investigate the shape properties of the curve. We get Bézier curve defined on [0, 1] when we set the parameter α, β to the value 0. We also present a de Casteljau algorithm to compute Bernstein Bézier curves and surfaces with shifted knots. The new curves have some properti...

Bezier curves based on Lupas (p, q)-analogue of Bernstein polynomials in CAGD

In this paper, we use the blending functions of Lupaş type (rational) (p, q)-Bernstein operators based on (p, q)-integers for construction of Lupaş (p, q)-Bézier curves (rational curves) and surfaces (rational surfaces) with shape parameters. We study the nature of degree elevation and degree reduction for Lupaş (p, q)-Bézier Bernstein functions. Parametric curves are represented using Lupaş (p...

Blind identification of single-input multiple-output pole-zero systems

In this paper we present a technique for the blind identi cation of single-input multiple-output (SIMO) pole-zero (PZ) systems using only the second order statistics of the system output data. The system input is treated as an unknown deterministic sequence, and hence, restrictive i.i.d. assumptions on the input sequence are not required. We estimate the poles and zeros of the channels in two s...

Identification of Multiple Input-multiple Output Non-linear System Cement Rotary Kiln using Stochastic Gradient-based Rough-neural Network

Because of the existing interactions among the variables of a multiple input-multiple output (MIMO) nonlinear system, its identification is a difficult task, particularly in the presence of uncertainties. Cement rotary kiln (CRK) is a MIMO nonlinear system in the cement factory with a complicated mechanism and uncertain disturbances. The identification of CRK is very important for different pur...

Asymptotic Properties of Identification of Hammerstein Models with Input Saturation