- #1

- 818

- 8

- Homework Statement
- See attached PDF

- Relevant Equations
- (ω_n)^2 / [s^2 + 2ζ(ω_n) + (ω_n)^2]

In the context of control systems, if I have a vibratory second-order system, (ω_n)^2 / [s^2 + 2ζ(ω_n) + (ω_n)^2], I know how to get the natural frequency ω_n. So, if I have something like 2 / (3s^2+5s+2), I know how to get the natural frequency ω_n.

However, if I instead have something like (2s) / (3s^2+5s+2), I'm not sure what to do. Do I just ignore the s on the numerator and proceed like if it wasn't there or what?

Any input would be greatly appreciated!

Edit:

P.S.

For what it's worth, I'm doing this as part of a larger problem, so if I made a mistake and it's impossible for a vibratory second-order system to have an s on the numerator, just let me know. The problem is question 3 from the PDF document

However, if I instead have something like (2s) / (3s^2+5s+2), I'm not sure what to do. Do I just ignore the s on the numerator and proceed like if it wasn't there or what?

Any input would be greatly appreciated!

Edit:

P.S.

For what it's worth, I'm doing this as part of a larger problem, so if I made a mistake and it's impossible for a vibratory second-order system to have an s on the numerator, just let me know. The problem is question 3 from the PDF document

#### Attachments

Last edited by a moderator: