A constructive procedure for multidimensional realization and LFR uncertainty modelling

Author

Xu, Li ; Fan, Huijin ; Lin, Zhiping ; Xiao, Yegui ; Anazawa, Yoshihisa

Author_Institution

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

fYear

2005

fDate

23-26 May 2005

Firstpage

2044

Abstract

A constructive procedure is proposed for multidimensional (nD) realization and linear fractional representation uncertainty modelling. The new realization procedure works on an nD rational matrix directly without transforming it to some nD polynomial matrices first. It is computationally more efficient and may lead to a lower order realization than existing algorithms. Furthermore, the new method is applicable to nD systems with either numerical or symbolic coefficients. Illustrative examples are presented to show the effectiveness and advantages of the proposed procedure.

Keywords

multidimensional systems; reduced order systems; robust control; transfer function matrices; uncertain systems; LFR uncertainty modelling; linear fractional representation; lower order realization; multidimensional realization constructive procedure; nD rational matrix; nD system theory; numerical coefficients; robust control theory; symbolic coefficients; transfer matrix; uncertain system robustness analysis; Engineering management; Information management; Management information systems; Matrix decomposition; Multidimensional systems; Polynomials; Robustness; Technology management; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on

Print_ISBN

0-7803-8834-8

Type

conf

DOI

10.1109/ISCAS.2005.1465019

Filename

1465019