reinf3_2.m

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%%%%%%%%%%% Reinforcement Problem 3.2 %%%%%%%%%%%%   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                 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%    ---- Third- and first-order systems ----%cleardisp('Reinforcement Problem 3.2')Ts = 1;pp1 = [-0.1; roots([1 -0.4 0.29])];G1 = zpk([0.4],pp1,3,Ts)           % G1 in ZPK formG2 = tf(4,[1 -0.8],Ts)             % G2 in TF formT = G2*G1                          % series combination in ZPK formk = [0:Ts:30];                     % discrete time sequencey = step(T,k);                     % step response figurestem(k,y,':','filled'); grid   % plot step responsetitle('Step response for Reinforcement Problem 3.2')xlabel('Discrete time k')%----- compute poles & zeros of G1, G2, & T ----[zG1,pG1,kG1] = zpkdata(G1,'v');    % zeros, poles, & gain of G1[zG2,pG2,kG2] = zpkdata(G2,'v');    % zeros, poles, & gain of G1[zT,pT,kT] = zpkdata(T,'v');        % zeros, poles, & gain from ZPK form%---- display all zeros in polar form[magzG1,thetazG1] = xy2p(zG1)[magzG2,thetazG2] = xy2p(zG2)[magzT,thetazT] = xy2p(zT)%---- display all poles in polar form[magpG1,thetapG1] = xy2p(pG1)[magpG2,thetapG2] = xy2p(pG2)[magpT,thetapT] = xy2p(pT)%%%%%%%%%%

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