📄 ex3_4.m
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%%%%%%%%%%%%%%%%%% Example 3.4 %%%%%%%%%%%%%%%%%%% 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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ---- Feedback connection ----%cleardisp('Example 3.4')numG = 0.2*[1 -0.85]a = 0.9*exp(j*pi/4); denG = conv([1 -a],[1 -conj(a)]) % forward transfer functiondisp('******>'), pause G = tf(numG,denG,1) % ..with unity sampling period [zG,pG,kG] = zpkdata(G,'v')xy2p(pG); % forward-path poles in polar formnumH = [1 -0.3]denH = conv([1 -0.8],[1 -0.1]) % feedback transfer functionH = tf(numH,denH,1) % ..with unity sampling period[zH,pH,kH] = zpkdata(H,'v')disp('******>'), pause T = feedback(G,H) % closed-loop system[zT,pT,kT] = zpkdata(T,'v') % CL zeros,poles,gainxy2p(pT); % CL poles in polar formdisp('******>'), pause [resp, dt] = step(T); % compute step respfigureplot(dt(1:150), resp(1:150), '-o'),grid % plot step response with stem optiontitle('Step response for Example 3.4')xlabel('Time (s)')%%%%%%%%%%
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