Vol.9, No 1, 2010 pp. 59 - 67
UDC 517.93 681.523.4

ON IDENTIFICATION OF DISCRETE SYSTEMS
Saša Nikolić, Bratislav Danković, Dragan Antić, Zoran Jovanović
University of Niš, Faculty of Electronic Engineering, Department of Control Systems, Aleksandra Medvedeva 14, 18000 Niš, Serbia
E-mail: sasa.s.nikolic@elfak.ni.ac.rs, bratislav.dankovic@elfak.ni.ac.rs, dragan.antic@elfak.ni.ac.rs, zoran.jovanovic@elfak.ni.ac.rs

Abstract. This paper presents a method for determining coefficients of n-th order difference equations that can represent mathematical models of n-th order discrete dynamical systems. In addition, error estimation in the sense of mean square and min-max error is given. The proposed method has many advantages over other existing identification methods. Theoretical results have been confirmed by experiments.
Key Words: discrete systems, identification, mean square error, hydraulic system.

O IDENTIFIKACIJI DISKRETNIH SISTEMA
U ovom radu je predstavljen metod za određivanje koeficijenata diferencne jednačine n-og reda, koja predstavlja matematički model diskretnog dinamičkog sistema n-og reda. Takođe je data procena greške u smislu srednje kvadratne i min-max greške. Predloženi metod ima mnoge prednosti u odnosu na postojeće metode identifikacije. Teoretski rezultati su potvrđeni eksperimentima.
Ključne reči: diskretni sistemi, identifikacija, srednje kvadratna greška, hidraulički sistem