Code covered by the BSD License

# MATLAB and Simulink Files

### Katie Singleton (view profile)

MATLAB and Simulink files for textbook Nise/Controls 6e.

ch13p4.m
```% Nise, N.S.
% Control Systems Engineering, 5th ed.
% John Wiley & Sons, Hoboken, NJ, 07030
%
% Control Systems Engineering Toolbox Version 5.0
% Copyright  2008 by John Wiley & Sons, Inc.
%
% (ch13p4): We also can use MATLAB to convert G(z) to G(s) when G(s) is not in
% cascade with a z.o.h. First, we create a sampled LTI transfer function, as
% discussed in ch13p3. The command F = d2c(H,'zoh') transforms H(z) to F(s)
% in cascade with a z.o.h., where H(z) = ((z-1)/z)*z{F(s)/s}.
% If we consider F(s) = sG(s), the command solves for sG(s) given H(z).
% Finally, sG(s)/s = G(s) yields the final result. In summary, form H(z), where
% H(z) = ((z-1)/z)*G(z). Use F = d2c(H,'zoh') to find F(s) = sG(s).
% Divide the result by s and obtain G(s). We convert G(z) = z/(z-0.3) into G(s).
% You will enter T, the sampling interval, through the keyboard.

'(ch13p4)'                          % Display label.
T=input('Type T ');                 % Input sampling interval.
numgz=[1 0];                        % Define numerator of G(z).
dengz=[1 -.3];                      % Define denominator of G(z).
'G(z)'                              % Display label.
Gz=tf(numgz,dengz,T)                % Create and display G(z).
Hz=Gz*tf([1 -1],[1 0],T);           % Create H(z)=((z-1)/z)*G(z).
Hz=minreal(Hz);                     % Cancel common poles and zeros.
Fs=d2c(Hz,'zoh');                   % Convert from H(z) to F(s)=sG(s).
Gs=Fs*tf(1,[1 0]);                  % Create G(s)=F(s)(1/s).
'G(s)'                              % Display label.
Gs=minreal(Gs)                      % Cancel common poles and zeros.
```

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