DOI:
https://doi.org/10.14483/22484728.18425Publicado:
2019-03-13Número:
Vol. 2 Núm. 1 (2019): Edición especialSección:
Visión ActualLaplace transform and its applications into dynamic systems: a review
Transformada de Laplace y sus aplicaciones en sistemas dinámicos: una revisión
Palabras clave:
Señales, Transformada de Laplace, Ecuaciones diferenciales, Sistemas Dinámicos, Sistemas de Control, Reactor multipropósito (es).Palabras clave:
Signals, Laplace Transform, Differential Equations, Dynamic Systems, Control Systems, Multipurpose reactor (en).Descargas
Resumen (en)
This paper presents a review of Laplace Transform (LT) applications in the analysis of linear dynamic systems. Is presented the importance of the transforms; the definition of the Transform; theorems and properties with applications and finally, the use of LT for the calculation of: steady state error, transfer functions, ordinary differential equations solution, frequency responses, signal analysis and block diagrams. The modeling and operational analysis with LT of a multipurpose reactor is proposed as a didactic situation for academic purposes.
Resumen (es)
Este artículo presenta una revisión sobre las aplicaciones de la transformada de Laplace (TL) en el análisis de sistemas dinámicos lineales. Se presenta la importancia de la transformada; la definición de la transformada; los teoremas y propiedades con aplicaciones y por último, aplicaciones del uso de la TL para el cálculo de: error de estado estacionario, funciones de transferencia, solución de ecuaciones diferenciales ordinarias, respuestas en frecuencia, análisis de señales y diagramas de bloques. Se propone, como situación didáctica para propósitos académicos, el modelamiento y análisis operacional con TL de un reactor multipropósito.
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