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Cybernetics And Systems Analysis
International Theoretical Science Journal
Volume 56 >>> № 6 NOVEMBER — DECEMBER 2020
UDC 517.9
L.A. Vlasenko1, A.G. Rutkas2, V.V. Semenets3, A.A. Chikrii4


1 Kharkiv National University of Radio Electronics, Kharkiv

 lara@rutrus.com

2 Kharkiv National University of Radio Electronics, Kharkiv

 anatoly@rutrus.com

3 Kharkiv National University of Radio Electronics, Kharkiv

 valery.semenets@nure.ua

4 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

 chik@insyg.kiev.ua

ON THE DECOMPOSITION OF DESCRIPTOR CONTROL SYSTEMS

Abstract. We establish the conditions to decompose a complicated descriptor control system into simpler subsystems. The system state and input are described by equations not solved with respect to the derivative of the state. We consider two types of decompositions: sequential and parallel decompositions. The decomposition conditions are formulated in terms of the existence of invariant pairs of subspaces for operator pencils consisting of system coefficients. The results are illustrated on an example of a descriptor system that describes transient states in a radio-engineering filter. We carry out the cascade parallel decomposition of forth-order filter into the simplest first-order filters, each containing one inertial element.

Keywords: descriptor control system, characteristic operator pencil, sequential decomposition, parallel decomposition, cascade-parallel decomposition of radio-engineering filter.



FULL TEXT

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