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ssrand(1) Scilab Function ssrand(1)
NAME
ssrand - random system generator
CALLING SEQUENCE
sl=ssrand(nout,nin,nstate)
[sl,U]=ssrand(nout,nin,nstate,flag)
PARAMETERS
nout : integer (number of output)
nin : integer (number of input)
nstate : integer (dimension of state-space)
flag : list made of one character string and one or several integers
sl : list (syslin list)
U square (nstate x nstate) nonsingular matrix
DESCRIPTION
sl=ssrand(nout,nin,nstate) returns a random strictly proper (D=0) state-
space system of size [nout,nint] represented by a syslin list and with
nstate state variables.
[sl,U]=ssrand(nout,nin,nstate,flag) returns a test linear system with given
properties specified by flag. flag can be one of the following:
flag=list('co',dim_cont_subs)
flag=list('uo',dim_unobs_subs)
flag=list('ncno',dim_cno,dim_ncno,dim_co,dim_nco)
flag=list('st',dim_cont_subs,dim_stab_subs,dim_stab0)
flag=list('dt',dim_inst_unob,dim_instb0,dim_unobs)
flag=list('on',nr,ng,ng0,nv,rk)
flag=list('ui',nw,nwu,nwui,nwuis,rk)
The complete description of the Sys is given in the code of the ssrand
function (in SCIDIR/macros/util). For example with
flag=list('co',dim_cont_subs) a non-controllable system is return and
dim_cont_subs is the dimension of the controllable subspace of Sys. The
character strings 'co','uo','ncno','st','dt','on','ui' stand for "controll-
able", "unobservable", "non-controllable-non-observable",
"stabilizable","detectable","output-nulling","unknown-input".
EXAMPLE
//flag=list('st',dim_cont_subs,dim_stab_subs,dim_stab0)
//dim_cont_subs<=dim_stab_subs<=dim_stab0
//pair (A,B) U-similar to:
// [*,*,*,*; [*;
// [0,s,*,*; [0;
//A= [0,0,i,*; B=[0;
// [0,0,0,u] [0]
//
// (A11,B1) controllable s=stable matrix i=neutral matrix u=unstable matrix
[Sl,U]=ssrand(2,3,8,list('st',2,5,5));
w=ss2ss(Sl,inv(U)); //undo the random change of basis => form as above
[n,nc,u,sl]=st_ility(Sl);n,nc
SEE ALSO:
syslin
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