Controllability and observability of linear electrical circuits

Tadeusz Kaczorek

Abstract

The controllability and observability of linear electrical circuits composed of resistors, coils, capacitors and voltage (current) sources are addressed. It is shown that: 1) the linear electrical circuits are uncontrollable and unobservable if and only if their parameters satisfy some special conditions, 2) the uncontrollable pair (A,B) (unobservable pair (A,C)) of the electrical circuit can be decomposed into controllable (observable) and uncontrollable (unobservable) parts, 3) the transfer matrices of the uncontrollable electrical circuit are zero. The considerations are illustrated by examples of linear circuits.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Politechnika Bialostocka]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
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Journal seriesPrzegląd Elektrotechniczny, ISSN 0033-2097, (A 15 pkt)
Issue year2011
Vol87
No9A
Pages248-254
Publication size in sheets0.5
Keywords in Englishcontrollability; observability; decomposition; electrical circuits; transfer matrix
ASJC Classification2208 Electrical and Electronic Engineering
LanguageEnglish
Score (nominal)15
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2014 = 0.454; WoS Impact Factor: 2011 = 0.244 (2)
Citation count*14 (2015-01-25)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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