Open AccessDetermination of the Optimal Values of the Parameters of the PI Controller by Minimum Integral Quadratic Criterion Taking Into Account the Values Transient Damping Coefficient
Author(s) -
Badri Gvasalia
Publication year - 2021
Publication title -
šromebi - sak'art'velos tek'nikuri universiteti
Language(s) - English
Resource type - Journals
ISSN - 1512-0996
DOI - 10.36073/1512-0996-2021-1-75-97
Subject(s) - transient (computer programming) , quadratic equation , mathematics , controller (irrigation) , quadratic programming , function (biology) , process (computing) , control theory (sociology) , nonlinear system , pid controller , mathematical optimization , computer science , control (management) , control engineering , engineering , artificial intelligence , geometry , temperature control , physics , quantum mechanics , evolutionary biology , agronomy , biology , operating system
The problem of determining the optimal the values of the parameters of the PI controller by the quadratic integral criterion taking into account the coefficient of attenuation of the transition process. The problem is presented as a nonlinear mathematical problem programming. Finding the global minimum of the objective function carried out by random search, and to determine the parameters of the PI controller used the expanded amplitude-phase frequency response of the system. An attempt is made to provide designers with an effective tool for solving the above problem. The given graphs and tables facilitate the selection of parameters. To compile a computer program, the visual programming system VBA (Visual Basic for Application) is used. Concrete examples are given.