Open AccessControl de presión, modelado matemático y sintonización de controladores por el método de Ziegler-Nichols
Author(s) -
Francisco Alejandro Martínez-Marín,
Gabriel Garciabada-Silva,
Aldo Aarón Hernández-Cervantes
Publication year - 2020
Publication title -
revista de ingeniería industrial
Language(s) - English
Resource type - Journals
ISSN - 2523-0344
DOI - 10.35429/jie.2020.13.4.8.12
Subject(s) - laplace transform , pid controller , mathematics , domain (mathematical analysis) , matlab , controller (irrigation) , laplace's equation , calculus (dental) , control theory (sociology) , mathematical analysis , physics , computer science , control (management) , differential equation , artificial intelligence , thermodynamics , temperature control , medicine , dentistry , biology , agronomy , operating system
Obtaining the parameters of a PID controller is done through several steps, mathematical modeling is the first of them, where it is verified that the number of unknowns is equal to the number of equations. Using the Laplace transforms, one passes from the time domain to the Laplace domain. By the Ziegler-Nichols method, and substituting iw for s in the characteristic equation of the process, the frequency domain is passed and the ultimate gain is established and with which it is possible to deduce the values of a proportional, derivative and integral controller. The final gain obtained in an analytical way can be verified by means of the graphs of the place of the roots, which can be easily generated by means of programs in Matlab, but this is beyond the scope of this article.