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[project @ 2004-09-22 02:50:35 by jwe]
author jwe
date Wed, 22 Sep 2004 02:50:36 +0000
parents b8105302cfe8
children 4c8a2e4e0717
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5015:6d481b6e349e 5016:bdbee5282954
17 ## Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA. 17 ## Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
18 18
19 ## -*- texinfo -*- 19 ## -*- texinfo -*-
20 ## @deftypefn {Function File} {[@var{a}, @var{b}, @var{c}, @var{d}] =} zp2ss (@var{zer}, @var{pol}, @var{k}) 20 ## @deftypefn {Function File} {[@var{a}, @var{b}, @var{c}, @var{d}] =} zp2ss (@var{zer}, @var{pol}, @var{k})
21 ## Conversion from zero / pole to state space. 21 ## Conversion from zero / pole to state space.
22 ##
22 ## @strong{Inputs} 23 ## @strong{Inputs}
23 ## @table @var 24 ## @table @var
24 ## @item zer 25 ## @item zer
25 ## @itemx pol 26 ## @itemx pol
26 ## vectors of (possibly) complex poles and zeros of a transfer 27 ## Vectors of (possibly) complex poles and zeros of a transfer
27 ## function. Complex values must come in conjugate pairs 28 ## function. Complex values must come in conjugate pairs
28 ## (i.e., x+jy in zer means that x-jy is also in zer) 29 ## (i.e., @math{x+jy} in @var{zer} means that @math{x-jy} is also in @var{zer}).
30 ## The number of zeros must not exceed the number of poles.
29 ## @item k 31 ## @item k
30 ## real scalar (leading coefficient) 32 ## Real scalar (leading coefficient).
31 ## @end table 33 ## @end table
34 ##
32 ## @strong{Outputs} 35 ## @strong{Outputs}
33 ## @var{a}, @var{b}, @var{c}, @var{d} 36 ## @table @var
34 ## The state space system 37 ## @item @var{a}
38 ## @itemx @var{b}
39 ## @itemx @var{c}
40 ## @itemx @var{d}
41 ## The state space system, in the form:
42 ## @iftex
43 ## @tex
44 ## $$ \dot x = Ax + Bu $$
45 ## $$ y = Cx + Du $$
46 ## @end tex
47 ## @end iftex
48 ## @ifinfo
35 ## @example 49 ## @example
36 ## . 50 ## .
37 ## x = Ax + Bu 51 ## x = Ax + Bu
38 ## y = Cx + Du 52 ## y = Cx + Du
39 ## @end example 53 ## @end example
40 ## is obtained from a vector of zeros and a vector of poles via the 54 ## @end ifinfo
41 ## function call @code{[a,b,c,d] = zp2ss(zer,pol,k)}. 55 ## @end table
42 ## The vectors @samp{zer} and
43 ## @samp{pol} may either be row or column vectors. Each zero and pole that
44 ## has an imaginary part must have a conjugate in the list.
45 ## The number of zeros must not exceed the number of poles.
46 ## @samp{k} is @code{zp}-form leading coefficient.
47 ## @end deftypefn 56 ## @end deftypefn
48 57
49 ## Author: David Clem 58 ## Author: David Clem
50 ## Created: August 15, 1994 59 ## Created: August 15, 1994
51 60