reinf3_3.m

来自「离散控制系统设计的MATLAB 代码」· M 代码 · 共 39 行

%%%%%%%%%%% Reinforcement Problem 3.3 %%%%%%%%%%%
%   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                 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%    ---- Interchanging two systems ----
%
clear
disp('Reinforcement Problem 3.3')
Ts = 1;
G1 = tf(0.02*[2 1.4],[1 -1.7 0.72],Ts)   % G1 in TF form
pp = 0.9*exp(j*pi/5)
pG2 = [pp; conj(pp); -0.8]          % poles of G2 as column vector
G2 = zpk(-0.2,pG2,0.5,Ts)           % G2 in ZPK form
%---- reverse order of connection from Ex 3.1 ----
T = G1*G2                       % series combination in ZPK form
k = [0:Ts:50];                  % discrete time sequence
y = step(T,k);                  % step response 
figure
stem(k,y,':','filled'); grid    % plot response
title('Step response for Reinforcement Problem 3.3')
xlabel('Discrete time k')

%----- compute poles & zeros of G1, G2, & T ----
[zG1,pG1,kG1] = zpkdata(G1,'v');    % zeros, poles, & gain of G1(z)
[zG2,pG2,kG2] = zpkdata(G2,'v');    % zeros, poles, & gain of G2(z)
[zT,pT,kT] = zpkdata(T,'v');        % zeros, poles, & gain of T(z)
%---- display all zeros in polar form
[magzG1,thetazG1] = xy2p(zG1)
[magzG2,thetazG2] = xy2p(zG2)
[magzT,thetazT] = xy2p(zT)
%---- display all poles in polar form
[magpG1,thetapG1] = xy2p(pG1)
[magpG2,thetapG2] = xy2p(pG2)
[magpT,thetapT] = xy2p(pT)
%%%%%%%%%%