Elementary operation approach to state-space realizations of 2-D systems

Author

Galkowski, Krzysztof

Author_Institution

Dept. of Robotics & Software Eng., Tech. Univ. of Zielona Gora, Poland

Volume

44

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

120

Lastpage

129

Abstract

In this paper, the method for obtaining various state-space realizations of the Roesser type for an assigned two-variable transfer function is developed. Two-variable elementary polynomial operations are employed. A new version of the general, state-space model is constructed. One also throws some new light on the problem of the mutual connections among the different 2-D state-space models such as the Roesser, the Fornasini-Marchesini, and the general one. Singular as well as standard (nonsingular) models are considered

Keywords

multidimensional systems; multivariable control systems; polynomials; state-space methods; transfer functions; 2D systems; Roesser type; assigned two-variable transfer function; elementary operation approach; elementary polynomial operations; mutual connections; nonsingular models; singular models; state-space realizations; Circuits and systems; Concrete; Displays; Linear systems; MIMO; Polynomials; Robots; State estimation; State-space methods; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.554329

Filename

554329