|Mar5-11, 03:48 PM||#1|
Step response and peak response of a transfer function
1. The problem statement, all variables and given/known data
The open loop transfer function to a unity negative feedback system is given as:
2. Relevant equations
Unity feedback is used in this problem, and the system input is a step function.
3. The attempt at a solution
I have attached my work.
I think the difficulty I am having is determining the damping factor. 10 doesn't work.
|Mar5-11, 06:49 PM||#2|
In the document provided it shows you how to solve for dampening and natural frequency:
[tex] s^2 + 2 \zeta \omega_ns + \omega_n^2[/tex] and [tex] s^2 + 10s + 50[/tex]
simply match the coefficients.
|Mar7-11, 05:44 PM||#3|
I was able to solve this problem with the aid of Matlab, but 10 can not be used as a damping constant, or the system would be overdamped, and not have the response that was needed. I was able to conclude the damping constant with the use of the software I have, but would like to be able to figure it out. I have corrected everything else in the attachment except the damping constant.
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