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Matlab/lab3.m

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+%% 1
+figure(1);
+syms t;
+f = cos(2*t)*sin(3*t)*heaviside(t);
+L = laplace(f);
+subplot(2,1,1);
+ezplot(f);
+subplot(2,1,2);
+display(L);
+ezplot(L);
+
+%% 2
+figure(2);
+syms s;
+H1 = ((s+1)*(s+4))/(s*(s+2)*(s+3));
+f1 = ilaplace(H1);
+H2 = (s^3+5*s^2+9*s+7)/(s^2+3*s+2);
+f2 = ilaplace(H2);
+subplot(2,1,1);
+ezplot(f1);
+display(f2);
+subplot(2,1,2);
+display(f2);
+ezplot(f2);
+
+
+%% 3
+figure(3);
+a = [1, 0, 1];
+b = [1,2,-3,3,3,2];
+sys = tf(a, b);
+pzmap(sys);
+
+
+%% 4
+figure(4);
+a = [1, 5];
+b = [1, 5, 6];
+t = 0:0.01:10;
+h = impulse(a, b, t);
+subplot(3, 1, 1);
+plot(t, h);
+title('单位冲激响应');
+
+syms s t;
+H = (s+5)/(s^2+5*s+6);
+F = laplace(heaviside(t));
+Y = H*F;
+y = ilaplace(Y);
+subplot(3, 1, 2);
+fplot(y*heaviside(t));
+title('单位阶跃响应');
+
+f = exp(-t)*heaviside(t);
+Fs = laplace(f);
+Ys = H*Fs;
+yts = ilaplace(Ys);
+subplot(3, 1, 3);
+fplot(yts*heaviside(t));
+title('零状态响应');