reinf2_6.m

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%%%%%%%%%%% Reinforcement Problem 2.6 %%%%%%%%%%%%   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                 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%	--- Fourth-order System ---%cleardisp('Reinforcement Problem 2.6')% Partial-fraction expansion and unit delta responsenumG = [0.3 0.4 0.5];                         % numerator of G(z)denG = [1 -1.3 0.455 0.0628 -0.037];          % denominator of G(z)G = tf(numG,denG,1)                           % G(z) as TF object with sampling time 1 s[zz,pp,kk] = zpkdata(G,'v')                   % zeros, poles, & gain of G(z)[mag_pp,theta_pp] = xy2p(pp)			      % polar form of the poles[rGoz,pGoz,otherGoz] = residue(numG,[denG 0]) % residues & poles of G(z)/z[mag_rGoz,theta_rGoz] = xy2p(rGoz)            % residues in polar form[y,k] = impulse(G);                           % compute unit delta responsefigurestem(k,y,'filled')                            % plot responsegridtitle('Impulse Response for Reinforcement Problem 2.6')%%%%%%%%%%

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