Open AccessInterval-parametric synthesis of a robust controller on a base of characteristic polynomial with desired stability in a sector
Author(s) -
Sergey An. Gayvoronskiy,
Tatiana Ezangina,
Ivan Khozhaev
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1490/1/012064
Subject(s) - controller (irrigation) , kharitonov's theorem , control theory (sociology) , base (topology) , mathematics , polynomial , parametric statistics , polytope , interval (graph theory) , stable polynomial , stability (learning theory) , degree of a polynomial , degree (music) , computer science , matrix polynomial , control (management) , discrete mathematics , mathematical analysis , square free polynomial , combinatorics , physics , statistics , artificial intelligence , machine learning , acoustics , agronomy , biology
In the paper a characteristic polynomial of a linear control system which coefficients include interval parameters of a control object and adjustable parameters of a controller is considered. In order to find polytope of controller parameters providing desired sector stability of a polynomial, values of polynomial coefficients limits are found on a base of desired oscillability degree of a system. On a base of these calculations a controller synthesis method is developed. Application example of the method proposed is also provided.