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Comment:Use exact solution - slow but accurate
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SHA3-256: 8f3d43426612ec50ba6beb8cc98e1827dfd3901f9f079ac26bc9928ffa15fbba
User & Date: gawthrop@users.sourceforge.net on 2005-03-04 09:19:53
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Context
2005-03-15
12:04:15
New labg.fig rep - pretty LaTeX figures. check-in: 8741109857 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
2005-03-04
09:19:53
Use exact solution - slow but accurate check-in: 8f3d434266 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
2005-02-21
17:39:25
Fixed vector junctions. check-in: d148584101 user: geraint@users.sourceforge.net tags: origin/master, trunk
Changes
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Modified mttroot/mtt/bin/trans/m/sm2ir.m from [cdcd279f9b] to [4fd52f72ba]. 

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function [Y,X] = sm2ir(A,B,C,D,T,u0,x0);
% sm2ir - Constrained-state matrix to impulse response.
%
%     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
%     %%%%% Model Transformation Tools %%%%%
%     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% Matlab function  sm2ir
% [Y,X] = sm2ir(A,B,C,D,T,u0,x0);
% A,B,C,D,E - (constrained) state matrices
% T vector of time points
% u0 input gain vector: u = u0*unit impulse.


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


[Ny,Nu] = size(D);
[Ny,Nx] = size(C);

if max(max(abs(D)))~=0


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function [Y,X] = sm2ir(A,B,C,D,T,u0,x0);
% sm2ir - state matrix to impulse response.
%
%     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
%     %%%%% Model Transformation Tools %%%%%
%     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% Matlab function  sm2ir
% [Y,X] = sm2ir(A,B,C,D,T,u0,x0);
% A,B,C,D,E - (constrained) state matrices
% T vector of time points
% u0 input gain vector: u = u0*unit impulse.


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.3  1996/12/05 10:17:34  peterg
% %% Put in version control history.
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


[Ny,Nu] = size(D);
[Ny,Nx] = size(C);

if max(max(abs(D)))~=0
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one = eye(Nx);

Y = zeros(N,Ny);
X = zeros(N,Nx);

dt = T(2)-T(1);% Assumes fixed interval
expAdt = expm(A*dt); % Compute matrix exponential
expAt = one;
i = 0;
x = (B*u0+x0);
for t = T'
  i=i+1;
  if Nx>0
    % expAt = expm(A*t);
    x = expAdt*x;

    X(i,:) = x';
    if Ny>0
      y = C*x;
      Y(i,:) = y';
    end;
  end;
end;














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one = eye(Nx);

Y = zeros(N,Ny);
X = zeros(N,Nx);

dt = T(2)-T(1);% Assumes fixed interval
##expAdt = expm(A*dt); % Compute matrix exponential
##expAt = one;
i = 0;
x = (B*u0+x0);
for t = T'
  i=i+1;
  if Nx>0
    ##expAt = expm(A*t);
    ##x = expAdt*x;
     x = expm(A*t)*(B*u0+x0);
    X(i,:) = x';
    if Ny>0
      y = C*x;
      Y(i,:) = y';
    end;
  end;
end;

MTT: Model Transformation Tools
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