Determination of state, input, and output matrices of linear dynamic systems from their block diagrams

Research output: Contribution to journalArticle

Abstract

An approach to description of linear stationary systems by two matrices is proposed - a matrix of parameters in which blocks consist of state, input, and output matrices of the system, and a matrix of dimensions of its state, control, perturbation, and output spaces. Rules are given how to transform these matrices for standard circuit types including sequential, parallel, and feedback connections of both static and dynamic elements. These rules can be used to formalize simulation procedures for complex dynamic systems and to determine their basic properties including stability, controllability and observability. If information is given on element connections in the system, then construction of its state, input, and output matrices can be completely automated.

Original languageEnglish
Pages (from-to)42-46
Number of pages5
JournalAvtomatika i Telemekhanika
Issue number1
Publication statusPublished - Jan 1991

Fingerprint

Dynamical systems
Observability
Controllability
Linear systems
Feedback
Networks (circuits)

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

@article{da558f80ce1440a68bb8ddc309478fdd,
title = "Determination of state, input, and output matrices of linear dynamic systems from their block diagrams",
abstract = "An approach to description of linear stationary systems by two matrices is proposed - a matrix of parameters in which blocks consist of state, input, and output matrices of the system, and a matrix of dimensions of its state, control, perturbation, and output spaces. Rules are given how to transform these matrices for standard circuit types including sequential, parallel, and feedback connections of both static and dynamic elements. These rules can be used to formalize simulation procedures for complex dynamic systems and to determine their basic properties including stability, controllability and observability. If information is given on element connections in the system, then construction of its state, input, and output matrices can be completely automated.",
author = "Malyshenko, {A. M.}",
year = "1991",
month = "1",
language = "English",
pages = "42--46",
journal = "Avtomatika i Telemekhanika",
issn = "0005-2310",
publisher = "Izdatel'stvo Nauka",
number = "1",

}

TY - JOUR

T1 - Determination of state, input, and output matrices of linear dynamic systems from their block diagrams

AU - Malyshenko, A. M.

PY - 1991/1

Y1 - 1991/1

N2 - An approach to description of linear stationary systems by two matrices is proposed - a matrix of parameters in which blocks consist of state, input, and output matrices of the system, and a matrix of dimensions of its state, control, perturbation, and output spaces. Rules are given how to transform these matrices for standard circuit types including sequential, parallel, and feedback connections of both static and dynamic elements. These rules can be used to formalize simulation procedures for complex dynamic systems and to determine their basic properties including stability, controllability and observability. If information is given on element connections in the system, then construction of its state, input, and output matrices can be completely automated.

AB - An approach to description of linear stationary systems by two matrices is proposed - a matrix of parameters in which blocks consist of state, input, and output matrices of the system, and a matrix of dimensions of its state, control, perturbation, and output spaces. Rules are given how to transform these matrices for standard circuit types including sequential, parallel, and feedback connections of both static and dynamic elements. These rules can be used to formalize simulation procedures for complex dynamic systems and to determine their basic properties including stability, controllability and observability. If information is given on element connections in the system, then construction of its state, input, and output matrices can be completely automated.

UR - http://www.scopus.com/inward/record.url?scp=0025926381&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025926381&partnerID=8YFLogxK

M3 - Article

SP - 42

EP - 46

JO - Avtomatika i Telemekhanika

JF - Avtomatika i Telemekhanika

SN - 0005-2310

IS - 1

ER -