ex2_9.m

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%%%%%%%%%%%%%%%%%% Example 2.9 %%%%%%%%%%%%%%%%%%%   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                 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   ---- Poles and system stability ----%cleardisp('Example 2.9')numG = [3 1.8 1.08]                  % generate G(z) as TF objectdenG = [1 -1.25 0.495 -0.0035 -0.1862]G = tf(numG,denG,1)                  % sampling period = 1.0 sdisp('******>'), pause disp('Poles of G via pole command')xy2p(pole(G));                       % poles of G via pole commanddisp('Poles of G via roots command')xy2p(roots(denG));                   % poles of G via roots command %----------- poles and zeros ---------------figureucircle, hold on                     % show unit circle in z-planepzmap(G), hold off                   % draw pole-zero plottitle('Example 2.9')set_xo_size                          % make larger X's ans O'sdisp('Plotting pole-zero locations')disp('******>'), pause %----------- delta response ----------k = 0:80;y = impulse(G,k);                    % compute delta response of G(z)figurestem(k,y,'o:');grid                  % plot with dotted stems & o'sxlabel('Time (s)')ylabel('Amplitude')title('Impulse response for Example 2.9')disp('Plotting impulse response')%%%%%%%%%%

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