Open AccessOn some restrictions in parametric synthesis of PID controllers
Author(s) -
Goerun Ayazyan,
Elena Tausheva
Publication year - 2020
Publication title -
vestnik astrahanskogo gosudarstvennogo tehničeskogo universiteta. seriâ: upravlenie, vyčislitelʹnaâ tehnika i informatika
Language(s) - English
Resource type - Journals
eISSN - 2224-9761
pISSN - 2072-9502
DOI - 10.24143/2072-9502-2020-2-7-18
Subject(s) - pid controller , control theory (sociology) , parametric statistics , stability (learning theory) , controller (irrigation) , integer (computer science) , cusp (singularity) , margin (machine learning) , limiting , mathematics , boundary (topology) , computer science , control engineering , control (management) , engineering , mathematical analysis , statistics , geometry , temperature control , mechanical engineering , agronomy , artificial intelligence , machine learning , biology , programming language
The article highlights solving the problem of parametric synthesis of PID Controllers of integer and fractional orders. The methods of synthesis for the given margins and indices of the relative stability of PID Controllers of integral and fractional orders have been developed. There have been developed algorithms for calculating the limiting values of the controller differential gain, at which the boundary of the region of a given stability margin has a cusp. Applying the criterion for low-frequency disturbance compensation helps to define the limiting values of the relative stability margin and indices. To implement the proposed algorithms there have been developed the software in the environment of the Maple package of symbolic calculations. Application of the developed algorithms allows to narrow the search area for the PID Controllers optimal parameters.