UDC 004.724
MULTI-LOOP SUBORDINATE CONROL SYSTEM IN MULTICHANNEL REPRESENTATION
A. A. Voevoda, Dr. in technical sciences, full professor of the Automation Department, NSTU, Novosibirsk, Russia;
orcid.org/0000-0000-0000-000X, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
V. Yu. Filiushov, Postgraduate student of the Automation Department, NSTU, Novosibirsk, Russia;
orcid.org/0000-0000-0000-000X, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The task to embed single channel control object into a more general multichannel case is considered. The aim is to present a single channel multi-loop control system for DC motor with independent excitation as a multi-channel system applying polynomial matrix method. The synthesis problem is not only the correspondence of closed system to the given poles, but also the correspondence of obtained regulator to the one that is calculated according to the principle of subordinate regulation. For this, a subordinate controller is represented in polynomial matrix decomposition, required characteristic polynomial is compiled, and the coefficients of required controller are obtained using Sylvester matrix. Obtaining an equivalent regulator is based on the use of free parameters that do not change the characteristic polynomial, but can be used to set additional zeros, which in the case of a regulator according to the principle of subordinate regulation are canceled with poles, thereby lowering the order of the characteristic polynomial.
Key words: DC electric drive, subordinate regulation, non-square object, polynomial matrix decomposition, multi-loop system, multi-channel system, embedding.