Function: bnds2lfr

Purpose

Transforms a matrix with bounds relative to its entries to a lfr-object.

Synopsis

[sys] = bnds2lfr(names,matmax)
[sys] = bnds2lfr(names,matmin,matmax)
[sys] = bnds2lfr(names,matnom,percent,'p')

Description

Let us consider an example. The matrix [a11 a12;a21 a22] is such that a11m < a11 < a11M, a21m < a21 < a21M, a21m < a21 < a21M and a22 fixed. For transformation to a lfr-object, the input arguments must be:

    matmin = [a11m a12m;a21m a22];
    matmax = [a11M a12M;a21M a22];

Input arguments

names String. If for example name = 'Y_', the uncertain parameters will be named 'Y_11','Y_12' and so on.

matmin Real matrix giving elementwise the lower bounds.

matmax Similar for upper bounds. If matmin is omitted, matmin = - matmax (so, all entries of matmax must be > 0).

matnom Nominal real values (used with option percent).

percent Same size as the considered uncertain matrix. It gives elementwise the uncertainty percentages. This argument can also be 1_by_1. option Should be 'p' if percentages are considered.

Output argument

sys Resulting lfr-object.

See also: abcd2lfr, data2lfr.

EXAMPLE 1 (interval of variations)
    matmin = [0.5 2.0 2.9; 3.9 4.7 5.5];
    matmax = [1.5 2.0 3.1; 4.1 5.3 5.5];
    A = bnds2lfr('A_',matmin,matmax); size(A)
    B = bnds2lfr('B_',matmin); size(B)

 EXAMPLE 2 (pencent)
    matnom = [0.5 2.0 2.9; 3.9 4.7 5.5];
    percent = 10;
    A = bnds2lfr('A',matnom,percent,'p'); size(A)

 EXAMPLE 3 (pencent / matrix)
    matnom = [0.5 2.0 2.9; 3.9 4.7 5.5];
    percent = [0 0 10;2 2 0];
    A = bnds2lfr('A_',matnom,percent,'p'); size(A)