clear all; close all;
K = 1;
omegan = 1;
zeta1 = 0.1;
zeta2 = 1.0;
zeta3 = 2.0;
num = [ 0 0 K*omegan^2 ];
den1 = [ 1 2*zeta1*omegan omegan^2 ];
den2 = [ 1 2*zeta2*omegan omegan^2 ];
den3 = [ 1 2*zeta3*omegan omegan^2 ];
sys1 = tf( num, den1 );
sys2 = tf( num, den2 );
sys3 = tf( num, den3 );
t = 0:0.01:30;
[ y1, t1 ] = step( sys1, t );
[ y2, t2 ] = step( sys2, t );
[ y3, t3 ] = step( sys3, t );
plot(t1,y1,'-b',t2,y2,'-g',t3,y3,'-r');
xlim([0,30])
ylim([0.0,1.8])
xticks([0 5 10 15 20 25 30])
yticks([0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8])
grid;
xlabel('time t [s]');
ylabel('y(t)')
legend('ζ = 0.1','ζ = 1.0','ζ = 2.0');