ss2tf.m

本书是电子通信类的本科、研究生辅助教材

function [num, den] = ss2tf(a,b,c,d,iu)
%SS2TF	State-space to transfer function conversion.
%	[NUM,DEN] = SS2TF(A,B,C,D,iu)  calculates the transfer function:
%
%		        NUM(s)          -1
%		H(s) = -------- = C(sI-A) B + D
%		        DEN(s)
%	of the system:
%		.
%		x = Ax + Bu
%		y = Cx + Du
%
%	from the iu'th input.  Vector DEN contains the coefficients of the
%	denominator in descending powers of s.  The numerator coefficients
%	are returned in matrix NUM with as many rows as there are 
%	outputs y.
%
%	See also: TF2SS.

%	J.N. Little 4-21-85
%	Revised 7-25-90 Clay M. Thompson, 10-11-90 A.Grace
%	Copyright (c) 1986-93 by the MathWorks, Inc.

error(nargchk(4,5,nargin));
error(abcdchk(a,b,c,d));

[mc,nu] = size(d);
if nargin==4,
  if (nu<=1)
    iu = 1;
  else
    error('IU must be specified for systems with more than one input.');
  end
end

den = poly(a);
if ~isempty(b), b = b(:,iu); end
if ~isempty(d), d = d(:,iu); end

% System is just a gain or it has only a denominator:
if isempty(b) & isempty(c)
	num = d;
	if isempty(d) & isempty(a)
		den = [];
	end
	return;
end

nc = length(a);
num = ones(mc, nc+1);
for i=1:mc
	num(i,:) = poly(a-b*c(i,:)) + (d(i) - 1) * den;
end