A new elementary operation approach to multidimensional realization and LFR uncertainty modeling

Author

Xu, Li ; Yan, Shi

Author_Institution

Dept. of Electron. & Inf. Syst., Akita Prefectural Univ., Akita

fYear

2008

fDate

20-22 Aug. 2008

Firstpage

2890

Lastpage

2894

Abstract

In this paper, a new elementary operation approach is proposed to the problem of multidimensional (n-D) Roesser state-space model realization or linear fractional representation (LFR) uncertainty modeling. The new approach can overcome the difficulties encountered by Galkowskipsilas method and always generates a standard or regular Roesser state-space model or LFR realization for a given causal n-D transfer function. Non-trivial examples will be presented to illustrate the basic ideas as well as the effectiveness of the proposed approach.

Keywords

state-space methods; transfer functions; uncertain systems; LFR uncertainty modeling; causal n-D transfer function; elementary operation approach; linear fractional representation; multidimensional Roesser state-space model realization; multidimensional realization; Application software; Electronic mail; Information systems; Multidimensional systems; Polynomials; Robust control; Robustness; Transfer functions; Uncertain systems; Uncertainty; Roesser model; linear fractional representation; n-D systems; state-space realization; uncertainty modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference, 2008

Conference_Location

Tokyo

Print_ISBN

978-4-907764-30-2

Electronic_ISBN

978-4-907764-29-6

Type

conf

DOI

10.1109/SICE.2008.4655157

Filename

4655157