Open AccessPolynomial matrix synthesis method of a subordinate control system
Author(s) -
Aleksandr Voevoda,
V Filiushov
Publication year - 2021
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 - 10.1088/1742-6596/2131/3/032022
Subject(s) - polynomial , matrix (chemical analysis) , regulator , representation (politics) , computer science , control theory (sociology) , channel (broadcasting) , polynomial matrix , control (management) , mathematics , matrix polynomial , artificial intelligence , mathematical analysis , computer network , biochemistry , chemistry , materials science , politics , political science , law , composite material , gene
The main difference between controlsyn thesis approaches is the various mathematical representation of a plant or system model. The aim of the work is to represent a single channel control plant model by a multichannel one and to obtain an identical design result for a single channel multiloop synthesis method by a multichannel one. For these purposes, direct current motor model is used as an example of a single channel plant. Classical approach to design control system for that kind of plant is to describe it as a serial connected transfer functions and design a multiloop system in accordance with subordinate concept. Polynomial matrix synthesis method with Sylvester matrix is utilized to make identical subordinate regulator. By several transformations, polynomial matrix description was obtained, that describe the plant as one input and three output model and subordinate regulator as a three input and one output model. Arbitrary parameters of regulator were introduced for extended null placement.