reinf3_9.m

离散控制系统设计的MATLAB 代码

%%%%%%%%%%% Reinforcement Problem 3.9 %%%%%%%%%%%
%   Discrete-Time Control Problems using        %
%       MATLAB and the Control System Toolbox   %
%   by J.H. Chow, D.K. Frederick, & N.W. Chbat  %
%         Brooks/Cole Publishing Company        %
%                September 2002                 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%   ---- Stable zero-pole cancellation ----
%
clear
disp('Reinforcement Problem 3.9')
Ts = 1;                              % unity sampling period
H1 = tf(1,[1 -0.1 -0.02],Ts)         % H1 in TF form
H2 = tf([2 -1],[1 0.1 -0.06],Ts)     % H2(z) in TF form
T = H1 + H2                          % parallel combination in TF form 
figure
[y,k] = step(T);                     % step reponse of T(z)
stem(k,y,':','filled');grid          % plot with stem option
title('Step response for Reinforcement Problem 3.9')
xlabel('Discrete time k')

%----- compute poles & zeros of H1, H2, & T ----
[zH1,pH1,kH1] = zpkdata(H1,'v');      % zeros, poles, and gain of H1(z)
[zH2,pH2,kH2] = zpkdata(H2,'v');      % zeros, poles, and gain of H2(z)
[zT,pT,kT] = zpkdata(T,'v');          % zeros, poles, and gain of T(z)
[magzT,thetazT] = xy2p(zT)            % zeros of T(z) in polar form
[magpT,thetapT] = xy2p(pT)            % poles of T(z) in polar form
%%%%%%%%%%