Mapping error of linear dynamic systems caused by reduced-order model

Author

Layer, Edward

Author_Institution

Fac. of Electr. & Comput. Eng., Cracoe Univ. of Technol., Poland

Volume

50

Issue

3

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

792

Lastpage

800

Abstract

This paper presents a theory and its practical application for the determination of the mapping error of the linear time invariant dynamic system by a simplified model. This mapping is expressed by means of the integral-square-error criterion. A special calculation algorithm showing how to compute the maximum value of this criterion is discussed and presented in detail. This paper also shows a method of a synthesis of a special class of simplified models, which near the beginning of the time interval, map the models of a higher order with the error approaching zero. The particular transformations, presented in a matrix notation, are defined. The theory presented is illustrated with a numerical example

Keywords

eigenvalues and eigenfunctions; error analysis; linear systems; mean square error methods; modelling; polynomial matrices; reduced order systems; transient response; impulse response; integral-square-error criterion; linear dynamic systems; mapping error; matrix transformations; model synthesis; reduced-order model; simplified model; time invariant dynamic system; Computational modeling; Computer errors; Computer simulation; Differential equations; Eigenvalues and eigenfunctions; Helium; Mathematical model; Reduced order systems; Signal mapping; Signal synthesis;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.930456

Filename

930456