Find the range of K for stability

  • Thread starter jdoe10
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  • #1
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Homework Statement


Find the range of K for the closed loop system to be stable.
##G_{OL}(s) = \frac{10}{s-5}##

Homework Equations




The Attempt at a Solution


##G_{CL}(s) = \frac{KGol}{1+Gol}##
##G_{CL}(s) = \frac{10K}{s-5+10K}##
##-5+10K>0##
##K>\frac{1}{2}##
is this correct?
 

Answers and Replies

  • #2
LvW
820
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No - the quation for Gcl is not correct (assuming Gol is the open-loop gain and K is the negative feedback factor).
We have Gcl=Gol/(1-LG)
with Loop Gain LG= - Gol*K.
 
  • #3
donpacino
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In this context I am guessing that K is the amplifier block before the open loop gain that can be adjusted, also known as the DC gain of the controller. I am guessing Gol is really the open loop gain of the plant.
 
  • #4
donpacino
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Jdoe10, can you provide us with a block diagram or more information?
 
  • #5
LvW
820
220
jdoe10 - please, please, be so kind and give us the chance (necessary information) to answer your question.
 

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