ESTIMASI PARAMETER MODEL FUNGSI ALIH ORDE 4 PADA ROL PENGUMPAN SISTEM TRANSPORTASI WEB MATERIAL BERBASIS FORGETTING FACTOR DENGAN MATLAB 7.04

Abstract

Web Materials Transport system appears in variety of industrial applications such as paper and plastics industries. The main part of web transport system is unwind roll section. The dynamic model for unwind roll section is derived from the Newton’s laws, the Hooke’s law and conservations of mass principle. This model gives a relationship between web tension output and torque input. Futhermore this relationship is expressed in transfer function form. This transfer function contains a phisical time-varying parameter namely the radius of the unwind roll. Usually before designing control system, a model parameter estimation is needed. This on-line estimation problem is investigated in this paper using RLS (recursive least square) method with forgetting factor. The estimation needs data in the form of discrete and the initial value covariance matrix diagonal (P).  This research uses discrete ZOH method with sampling period T = 0.4 sec; 0.35 sec; 0.3 sec; 0.25 sec; 0.2 sec for convert transfer function from s-domain to z-domain. Parameters estimation with mean square error (MSE) in the range  2x10^-5 ≤ MSE ≤ 3x10^-5 are obtained using initial value covariance matrix diagonal P in the range 10²  ≤ P ≤ 10⁸ using  forgetting factor 0.95.