Lag Lead Compensator Transfer Function

Discussion in 'Homework Help' started by jegues, Feb 9, 2014.

1. jegues Thread Starter Well-Known Member

Sep 13, 2010
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43
Evening gents,

I am supposed to solve the transfer function for the lag-lead network in the figure attached and compare it to the following transfer function,

$G_{c}(s) = K_{c} \frac{(s + \frac{1}{T_{1}})(s + \frac{1}{T_{2}})}{(s + \frac{\beta}{T_{1}})(s + \frac{1}{\beta T_{2}})}$

Could someone verify that I solved the transfer function for the following circuit correctly?

Also, it doesn't quite compare to the above transfer function in the sense that it has an additional term in the denominator.

Is this correct?

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2. t_n_k AAC Fanatic!

Mar 6, 2009
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I'm presuming you can expand the denominator in the general form and equate it to the denominator in the specific solution for the given circuit topology. One could then possibly find a set of conditions involving β that would satisfy the equality. One may need two different "β" values rather than one.

Last edited: Feb 10, 2014
3. jegues Thread Starter Well-Known Member

Sep 13, 2010
735
43
This is the part I'm having trouble with. I can't seem to work my expression into the exact form they want.

Is it possible?