Symbolic implementation of the new elementary operation approach for MIMO multidimensional realization

Author

Yan Shi ; Xu Li ; Sun Lijun ; Zhao Dongdong

Author_Institution

Sch. of Inf. Sci. & Eng., Lanzhou Univ., Lanzhou, China

fYear

2014

fDate

28-30 July 2014

Firstpage

6758

Lastpage

6763

Abstract

This paper extends the symbolic implementation of the new elementary operation approach (NEOA) to the multi-input and multi-output (MIMO) multidimensional (n-D) case, which is applicable to the causal transfer matrix with symbolic as well as numerical coefficients. Compared with the existing LFR Toolbox, the new developed package can generate the Roesser state-space model with a lower order, and the construction is direct without any pre- or post-processing. Moreover, the new version package supports the new symbolic engine MuPAD, which has been integrated in MATLAB since version 7.7. Symbolic examples will be given to illustrate effectiveness and facilities of the developed package.

Keywords

MIMO systems; matrix algebra; multidimensional systems; state-space methods; MIMO multidimensional realization; Matlab; MuPAD; NEOA; Roesser state-space model; causal transfer matrix; multiple input multiple output; new elementary operation approach; numerical coefficients; symbolic engine; symbolic implementation; MATLAB; MIMO; Matrix converters; Matrix decomposition; Polynomials; State-space methods; Vectors; Linear Fractional Representation; Multidimensional Systems; Roesser State-Space Model; Symbolic Implementation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6896112

Filename

6896112