ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

On a Сonnection Вetween Continuous and Discrete Models of Linear Dynamical Systems

Author(s):

Yuri Petrovich Dranitsa

The Murmansk State Technical University,
Russia, Murmansk

axday@mail.ru

Andrei Yurevich Dranitsa

Closed Joint-Stock Company "Lanit",
Russia, Moscow

axeon@inbox.ru

Olga Vasilevna Alekseevskaya

Closed Joint-Stock Company "Lanit",
Russia, Moscow

axeon@inbox.ru

Abstract:

The task of an approximation of a continuous model according to obtained discrete data in its connection with Laplas transformation and z-conversion has been considered.

We found that the connection between ordinary differential equations and difference equations has analogy with inverse agreed z-conversion when transferring from complex z-plane to s-plane.

A comparative analysis classical techniques and the offered method of the transition from continuous to discrete model (and vice versa) has been performed.

Full text (pdf)