LFRT version 2.0 for Matlab: functions

TOOLBOXES TUTORIAL

Links to help files

These help files are expected to give an idea of the potentialities of the toolbox. Some of them contain an illustrative example but more detailed examples are available on the tutorial page.

abcd2lfr actualval aeblkchk bnds2lfr data2lfr
dcgain diff distlfr eig eig_fb
eval feedback get gmorton lf2lfr
lfr lfr2abcd lfr2mu lfr2mubnd lfr2mussv
lfr2mustab lfr2rob lfrdata lfrs min_max
minlfr minlfr1 normalizelfr ns_rad plotlfr
reduclfr rf2lfr rlfr set starplfr
sym2lfr symtreed udistlfr unnormalize uplft
wp_rad

Lists of the Matlab LFRT functions ordered by topics

lfr-object generation
lfrcore function of the toolbox
lfrsrealize elementary real or complex lfr-objects.
rlfrgenerates random lfrs
bnds2lfrfrom min/max bounds to lfr-object
sym2lfrfrom symbolic to lfr-object
symtreedelementary structured tree decomposition
data2lfrinterpolation on an lfr basis
aeblkchkcheck well-definedness of lfr-object.

Conversions
lfrconvert various objects to lfr-objects
abcd2lfrfrom state-space to input-output form
lfr2abcdconverse
lf2lfrrealize lfr-object from left fractional factorization.
rf2lfrrealize lfr-object from right fractional factorization.
lfr2robtransforms to standard Matlab uncertain objects

lfr realization
sym2lfrsymbolic expression converted to lfr-object
symtreedelementary structured tree decomposition
lfrdataretrieves realization matrices from an lfr-object
gmortongeneralized Morton realization
diffdifferenciation

Order reduction
minlfrreduction based on n-D Kalman decomposition
minlfr1sequencial 1-D odrer reduction
reduclfrapproximation based on the above tools
symtreedelementary structured tree decomposition

Gridding and interpolation
data2lfrinterpolation on an lfr basis
plotlfrplots entries of an lfr-object on a gridding

Operations on the matrix Delta
evalevaluates an lfr from values in the workspace
uplftcloses (partially) the delta-loop
normalizelfrnormalizes parametric blocks in lfr-object
unnormalizeconverse
actualvalcomputes actual parameter values from normalized ones
starplfrstar product
getget fields of an lfr-object.
setchange block-names, block-bounds or object-fields.

Dynamic systems
feedbackcloses the feedback loop
dcgaindc-gain of a dynamic lfr-object
eignominal poles of a dynamic lfr-object
eig_fbclosed-loop poles of a dynamic lfr-object

Mu analysis
lfr2mustabfrom lfr-object to input arguments of mustab
lfr2mubndfrom lfr-object to input arguments of mubnd
lfr2mufrom lfr-object to input arguments of mu
lfr2mussvfrom lfr-object to input arguments of mussv
ns_radnon-singularity radius
wp_radwell-posedness radius
min_maxmin and max values of a 1-by-1 real lfr-object

Distances
distlfrcalculates a lower bound of the distance between two lfrs
udistlfrupper bound of the distance (some restrictions apply)

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