Chapter 5 Utilities
Xmath Model Reduction Module 5-4 ni.com
After this last transformation, and with
it follows that
and
By combining the transformation yielding the real ordered Schur form for
A with the transformation defined using X, the overall transformation T is
readily identified. In case all eigenvalues of A are stable or all are unstable,
this is flagged, and T = I.
stable( ) can be combined with a reduction algorithm such as
redschur( ) or balmoore( ) to reduce the order of a system with some
unstable and some stable poles. One uses stable( ) to separate the stable
and unstable parts, and then, for example, reduces the stable part with
redschur( ); the reduced stable part is added to the original unstable part
to provide the desired system reduction.
Related Functions
sylvester(), schur(), redschur(), balmoore()
compare( )[respdiff] = compare(Sys,SysRed,FTvec,{Fmin,Fmax,npts,radians,type})
The compare( ) function provides a number of different graphical tests
which can be used to compare two state-space system implementations.
compare( ) can be used as a tool for evaluating a reduced-order system
by comparing it with the original full-order system from which it was
obtained. However, it can be used for more general comparisons as well,
such as examining the results of different discretization or identification
techniques.
BBS
BU
=CC
SCU
[]=
SysS ASASCSD;[, ]=
SysU AUBUCU0;[, ]=