# File:Second order system response to step input.png

Second_order_system_response_to_step_input.png(560 × 420 pixels, file size: 11 KB, MIME type: image/png)

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## Summary

 Description Matlab plot of second order system response to step function input. The plot was made for ${\displaystyle \ G(s)=\left.{\omega _{n}^{2} \over s^{2}+2\zeta \omega _{n}s+\omega _{n}^{2}}\right|_{\omega _{n}=1}}$. Date 10 July 2007 Source Own work Author Mintz l
 This diagram was created with MATLAB.

## MATLAB code

zeta=[0 0.1 0.3 0.5 0.7 1];
s=tf('s');
w_n=1;

for i=1:length(zeta)
z=zeta(i);
G=w_n^2/(s^2+2*z*w_n*s+w_n^2);
bode(G);
hold on;
end

grid on;
legend '\zeta=0' '\zeta=0.1' '\zeta=0.3' '\zeta=0.5' '\zeta=0.7' '\zeta=1'
title 'Bode plot (\omega_n=1)'


## Licensing

 This work has been released into the public domain by its author, I, Mintz l. This applies worldwide.In some countries this may not be legally possible; if so:I, Mintz l grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

## File history

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Date/TimeThumbnailDimensionsUserComment
current11:22, 10 July 2007560 × 420 (11 KB)Mintz l (talk | contribs){{Information |Description=Matlab plot of second order system response to step function input. The plot was made for $\ G(s)=left.{\omega_n^2\over s^2+2\zeta\omega_n s + \omega_n^2}right|_{\omega=1}$. |Source=self-made |Date=July 10th, 2007 |Au
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