tssf.m

Script to simulate a digital full-state-feedback tracking system.

%TSSF	Script to simulate a digital full-state-feedback tracking system.
%	Such tracking systems can be be designed using the function DTS.
%
% INPUTS:
%
% phi,gamma,c   ZOH equivalent plant model.
% phia,gammaa   State-space model for additional dynamics.
% f             feedthrough from disturbance to plant output
% fm            feedthrough from disturbance to state-variable measurements
% e             Input vector (matrix for multivariable) for disturbances
% g             Feedforward gain (vector of gains for multivariable plant).
%               Can only be used if number of inputs equals number of outputs
% x0            Initial state of the Plant.
% T             Sampling interval.
% L1,L2         Partition of feedback gains calculated for the design system.
% ftime         Simulate from 0 to ftime seconds.
% ref,dist      Matrices containing reference inputs and disturbances. 
%               These  signals can be generated using the SIGGEN function.
%
% OUTPUTS: 
%
% y         Matrix of plant outputs 
% x         Matrix of state vectors, column 1 is x0.
% u         Matrix of inputs to the plant.
% t1        Time axis vector for plotting.  Use TSSFP to plot results.
%
% If any of the following variables do not exist in the workspace, this script
% sets them equal to zero: e, f, g, dist

%	R.J. Vaccaro 10/93,11/98

[j_,inp_]=size(gamma);
[M_,N_]=size(c);
if exist('e')~=1,e=zeros(j_,inp_);end
if exist('f')~=1,f=zeros(M_,inp_);end
if exist('fm')~=1,fm=zeros(j_,inp_);end
if exist('g')~=1,g=zeros(inp_,inp_);end
if exist('dist')~=1,dist=0*ref;end
clear u x xa y ym
kf_=ceil(ftime/T);
t1=T*[0:kf_-1];
clear xa x u;
x(:,1)=x0;
xa(:,1)=zeros(max(size(gammaa)),1);
u(:,1)=-L1*(x0+fm*dist(:,1))+L2*xa(:,1);
if inp_==M_
  u(:,1)=u(:,1)+g*ref(:,1);
end
ym(:,1)=x0+fm*dist(:,1);
y(:,1)=c*x0+f*dist(:,1);
for k_=1:kf_-1
   x(:,k_+1)=phi*x(:,k_)+gamma*u(:,k_)+e*dist(:,k_);
   xa(:,k_+1)=phia*xa(:,k_)+gammaa*(ref(:,k_)-y(:,k_));
   ym(:,k_+1)=x(:,k_+1)+fm*dist(:,k_+1);
   u(:,k_+1)=-L1*ym(:,k_+1)+L2*xa(:,k_+1);
   y(:,k_+1)=c*x(:,k_+1)+f*dist(:,k_+1);
if inp_ ==M_
   u(:,k_+1)=u(:,k_+1)+g*ref(:,k_);
end
end
fprintf('TSSF simulation complete.  Use TSSFP to plot results.\n')

clear j_ inp_ kkk_  M_ N_ k_ kf_


%___________________________ END OF TSSF.M _______________________________