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- Joined
- 30 Dec 2003
- Posts
- 2,254
Hi,
Currently bringing together a lab report on control systems. One given formula is for the "Maximum Overshoot" of a system (In terms of a damping factor).
I have several values for maximum overshoot and wish to determine the damping factor for them all.
The equation given is:
Mp = exp (-(S*pi) / sqrt(1 - S^2))
Where Mp is max overshoot and S is damping factor (Couldn't find greek symbols!).
To get rid of the exp I've used ln:
ln Mp = (-S*pi) / sqrt(1 - S^2))
However, from here I seem to keep cancelling S - I'm sure I'm missing something basic but can't for the life of me work it out this early on a sunday morning!!
Any ideas on how to get it into the form S =...
Cheers,
Dan.
Currently bringing together a lab report on control systems. One given formula is for the "Maximum Overshoot" of a system (In terms of a damping factor).
I have several values for maximum overshoot and wish to determine the damping factor for them all.
The equation given is:
Mp = exp (-(S*pi) / sqrt(1 - S^2))
Where Mp is max overshoot and S is damping factor (Couldn't find greek symbols!).
To get rid of the exp I've used ln:
ln Mp = (-S*pi) / sqrt(1 - S^2))
However, from here I seem to keep cancelling S - I'm sure I'm missing something basic but can't for the life of me work it out this early on a sunday morning!!
Any ideas on how to get it into the form S =...
Cheers,
Dan.
