Final Value Theorem and Steady State Error
321.5 هزار بار بازدید -
11 سال پیش
-
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The Final Value Theorem is a way we can determine what value the time domain function approaches at infinity but from the S-domain transfer function. This is very helpful when we're trying to find out what the steady state error is for our control system, or to easily identify how to change the controller to erase or minimize the steady state error.
Two proofs of the Final Value Theoerm:
www.ee.kth.se/~tn/.../Basic.../Initial_and_Final_Value_Theorems_uk.pdf
renyi.ece.iastate.edu/zhengdao/initial-value-theorem.pdf
Errata:
7:55 I wrote "If all poles are in LHP then type 1 and FV=0" and it should be "If all poles are in the LHP then type 0 and FV=0"
11:53 I left the 's' off the final value theorem equation. It should be the limit as s approaches 0 of 's' times the transfer function.
Don't forget to subscribe! I'm on Twitter @BrianBDouglas!
If you have any questions on it leave them in the comment section below or on Twitter and I'll try my best to answer them.
I will be loading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!
Download eBook on the fundamentals of control theory (in progress): https://engineeringmedia.com
The Final Value Theorem is a way we can determine what value the time domain function approaches at infinity but from the S-domain transfer function. This is very helpful when we're trying to find out what the steady state error is for our control system, or to easily identify how to change the controller to erase or minimize the steady state error.
Two proofs of the Final Value Theoerm:
www.ee.kth.se/~tn/.../Basic.../Initial_and_Final_Value_Theorems_uk.pdf
renyi.ece.iastate.edu/zhengdao/initial-value-theorem.pdf
Errata:
7:55 I wrote "If all poles are in LHP then type 1 and FV=0" and it should be "If all poles are in the LHP then type 0 and FV=0"
11:53 I left the 's' off the final value theorem equation. It should be the limit as s approaches 0 of 's' times the transfer function.
Don't forget to subscribe! I'm on Twitter @BrianBDouglas!
If you have any questions on it leave them in the comment section below or on Twitter and I'll try my best to answer them.
I will be loading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!
11 سال پیش
در تاریخ 1392/01/18 منتشر شده
است.
321,536
بـار بازدید شده