📄 reinf2_14.m
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%%%%%%%%%%% Reinforcement Problem 2.14 %%%%%%%%%%% 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 one cycle of a sine wave ---%cleardisp('Reinforcement Problem 2.14')numG = [0.3 0.4 0.5]; % numerator of G(z)denG = [1 -1.3 0.455 0.0628 -0.037]; % denominator of G(z)Ts = 0.2 % sampling periodG = tf(numG,denG,Ts) % create TF object G(z)dtime = [0:Ts:5]'; % discrete time samples%---- input u2 ----u2 = 0*dtime;i1 = min(find(dtime>=2));for i=1:i1, u2(i)=2*sin(pi*dtime(i));endy = lsim(G,u2,dtime); % compute response due to input ustem(dtime,y,'filled');grid % plot response of G(z) due to uhold onplot(dtime,u2,'o') % plot inputhold offtext(2.4,0.6,'output') % add labels to plottext(0.9,-1.4,'input')title('Reinforcement Problem 2.14')%%%%%%%%%%
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