Algoritmo para el cálculo de la transformada Z inversa utilizando DERIVE // Algorithm for the calculation of the transformed inverse Z using the mathematical assistant DERIVE.

Authors

  • D. Galán Martínez Instituto Superior Politécnico José A. Echeverría (ISPJAE) Calle 127 s/n, CUJAE, Marianao 15, Ciudad Habana, Cuba. Teléfono: 53 7-20 2267, Fax: 53 7-27 7129.
  • R. Brito González Instituto Superior Politécnico José A. Echeverría (ISPJAE) Calle 127 s/n, CUJAE, Marianao 15, Ciudad Habana, Cuba. Teléfono: 53 7-20 2267, Fax: 53 7-27 7129.

Abstract

Una de las herramientas matemáticas más utilizadas en ingeniería en el estudio de los denominados sistemas de control de
datos muestreados es la transformada Z. La transformada Z como método operacional puede ser utilizada en la resolución
de ecuaciones en diferencias finitas; las cuales formulan la dinámica de los sistemas de control de datos muestreados. Esta
transformada juega un papel similar que el de la transformada de Laplace en el análisis de los sistemas de control de tiempo
continuo.
El presente trabajo tiene como objetivo la confección de un programa para computadora digital, utilizando el asistente
matemático DERIVE, para la determinación de la transformada Z inversa de una función algebraica racional, las cuales
modelan matemáticamente los sistemas de control de datos muestreados lineales que aparecen con mucha frecuencia en el
estudio de los procesos de ingeniería.


Palabras claves: Algoritmo, transformada Z, DERIVE, función algebraica racional, modelo matemático.

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Abstract
One of the mathematical tools more used in engineering in the study of the denominated systems of data control samples is
the transformed Z. The transformed Z like as an operational method can be used in the resolution of equations in finite
differences; which formulate the dynamics of the systems of data control samples. This transformed plays a similar paper
that the Laplace transformed in the analysis of the systems of control in continuous time.
The present work has as objective the confection of a program for digital computer, using the mathematical assistant
DERIVES, for the determination of the Z inverse transformed of a rational algebraic function, which model mathematically
the systems of lineal data control samples that appear very frecuently in the study of the engineering processes


Key words: algorithm, Z inverse transformed, Derives, Digital computer program, Rational algebraic
function, mathematical model.

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How to Cite

1.
Galán Martínez D, Brito González R. Algoritmo para el cálculo de la transformada Z inversa utilizando DERIVE // Algorithm for the calculation of the transformed inverse Z using the mathematical assistant DERIVE. Ing. Mec. [Internet]. 2000 Jul. 1 [cited 2025 Sep. 13];3(3):19-23. Available from: https://ingenieriamecanica.cujae.edu.cu/index.php/revistaim/article/view/357

Issue

Vol. 3 No. 3 (2000): july-september

Section

Original article

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