System's calculation - Electronic Circuits Projects Diagrams Free

tuck · 8th October 2007, 05:07 PM

Hi all,

Im facing a problem while calculating the gain of a system.
The diagram below show an operation of a cardiac pacemeter.
It is desired to adjust the gain, K of the amplifier to obtain a suitable response to a step change in the disired heart rate.
The problem is to get a suitable gain based on the overshoot requirements presented in the range of 5 to 15%.
Can anyone please help me with this?

tuck · 30th October 2007, 07:02 AM

can anyone help me with this?
if the max overshoot is 7.328%.
wat is the value for K?

drolex · 8th November 2007, 06:43 AM

What is the overshoot? Where does that come in? What defines gain in this system?

jeg223 · 9th November 2007, 12:20 PM

Simplify the diagram to find the transfer function:

T(s)= 10k/(s^2 + 10s + 10k)
the %OS depends on the damping ratio (d), or damping ratio as a function of %OS

d= (-ln(%OS/100))/((pi^2+ln^2(%OS/100))^1/2

use the range of %OS to find the range of d

the damping ratio relates to k using the transfer function

10=2*d*wn where wn^2=k
therefore,
k=(.5/d)^2

solve for k

sorry about the mess of equations, you should be able to find them easily enough. I have to look into latex...

EDIT: I made a mistake, the coefficient on s^2 must be 1

tuck · 10th November 2007, 05:54 PM

The problem have been solved. thanks for all the help.

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8th October 2007, 05:07 PM	(permalink)
tuck	System's calculation Hi all, Im facing a problem while calculating the gain of a system. The diagram below show an operation of a cardiac pacemeter. It is desired to adjust the gain, K of the amplifier to obtain a suitable response to a step change in the disired heart rate. The problem is to get a suitable gain based on the overshoot requirements presented in the range of 5 to 15%. Can anyone please help me with this? Last edited by tuck; 8th October 2007 at 05:22 PM.

30th October 2007, 07:02 AM	(permalink)
tuck	can anyone help me with this? if the max overshoot is 7.328%. wat is the value for K?

8th November 2007, 06:43 AM	(permalink)
drolex	What is the overshoot? Where does that come in? What defines gain in this system?

9th November 2007, 12:20 PM	(permalink)
jeg223	Simplify the diagram to find the transfer function: T(s)= 10k/(s^2 + 10s + 10k) the %OS depends on the damping ratio (d), or damping ratio as a function of %OS d= (-ln(%OS/100))/((pi^2+ln^2(%OS/100))^1/2 use the range of %OS to find the range of d the damping ratio relates to k using the transfer function 10=2dwn where wn^2=k therefore, k=(.5/d)^2 solve for k sorry about the mess of equations, you should be able to find them easily enough. I have to look into latex... EDIT: I made a mistake, the coefficient on s^2 must be 1 Last edited by jeg223; 9th November 2007 at 11:39 PM.

10th November 2007, 05:54 PM	(permalink)
tuck	The problem have been solved. thanks for all the help.