📄 reinf3_7.m
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%%%%%%%%%%% Reinforcement Problem 3.7 %%%%%%%%%%%% 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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ---- Second- and first-order systems ----%cleardisp('Reinforcement Problem 3.7')Ts = 1; % unity sampling periodH1 = tf([2 -0.3],[5 2 2],Ts) % H1 in TF formH2 = tf(3*[1 0.5],[6 -1],Ts) % H2(z) in TF form%---- parallel combination will be in TF form -----------T = H1 + H2 %figure[y,k] = step(T); % step reponse of T(z)stem(k,y,':','filled');grid % plot with stem optiontitle('Step response for Reinforcement Problem 3.7')xlabel('Discrete time k')%----- compute poles & zeros of H1, H2, & T ----[zH1,pH1,kH1] = zpkdata(H1,'v') % zeros, poles, and gain of H1(z)[magpH1,thetapH1] = xy2p(pH1) % poles of H1 in polar form[zH2,pH2,kH2] = zpkdata(H2,'v') % zeros, poles, and gain of H2(z)[magpH2,thetapH2] = xy2p(pH2) % poles of H2 in polar form[zT,pT,kT] = zpkdata(T,'v') % zeros, poles, and gain of T(z)[magpT,thetapT] = xy2p(pT) % poles of T in polar form%%%%%%%%%%
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