📄 ex2_8.m
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%%%%%%%%%%%%%%%%%% Example 2.8 %%%%%%%%%%%%%%%%%%% 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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ---- Response to a piecewise-constant input ----%cleardisp('Example 2.8')numG = [2 -2.2 0.56]; % numerator of G(z)denG = [1 -0.6728 0.0463 0.486]; % denominator of G(z)Ts = 0.2 % sampling periodG = tf(numG,denG,Ts) % create TF object G(z)dtime = [0:Ts:8]'; % discrete time samplesu = 2.0*ones(size(dtime)); % start with all input values = 2.0ii = find(dtime>=2.0); % use find cmd to get indices ofu(ii) = 0.5; % ...elements to be changedy = lsim(G,u,dtime); % compute response due to input ufigurestem(dtime,y,'filled'),grid % plot response of G(z) due to uhold onplot(dtime,u,'o') % plot inputhold offtext(2.3,-1.8,'output') % add labels to plottext(1.6,2.3,'input')title('Example 2.8')xlabel('Time (s)')%%%%%%%%%%
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