
The circuit gain for 
Figure 4
 at low frequencies is R
/R
, but
F, the feedback factor is not equal to the circuit gain. The
feedback factor is derived from feedback theory and is the
same for both inverting and non-inverting configurations. Yes,
the feedback factor at low frequencies is equal to the gain for
the non-inverting configuration.
(5)
From this formula, we can see that
1/F's zero is located at a lower frequency compared with
1/F's pole.
1/F's value at low frequency is 1 + R
F
/R
IN
.
This method creates one additional pole and one
additional zero.
This pole-zero pair will serve two purposes:
—
 To raise the 1/F value at higher frequencies prior to its
intercept with A, the open loop gain curve, in order to
meet the G
 = 10 requirement. For the LMV793/
LMV794 some overcompensation will be necessary for
good stability.
—
 To achieve the previous purpose above with no
additional loop phase delay.
Please note the constraint 1/F 
≥
 G
 needs to be satisfied
only in the vicinity where the open loop gain A and 1/F inter-
sect; 1/F can be shaped elsewhere as needed. The 1/F pole
must occur before the intersection with the open loop gain A.
In order to have adequate phase margin, it is desirable to fol-
low these two rules:
Rule 1
 1/F and the open loop gain A should intersect at the
frequency where there is a minimum of 45° of phase
margin. When over-compensation is required the in-
tersection point of A and 1/F is set at a frequency
where the phase margin is above 45°, therefore in-
creasing the stability of the circuit.
Rule 2
 1/F’s pole should be set at least one decade below
the intersection with the open loop gain A in order to
take advantage of the full 90° of phase lead brought
by 1/F’s pole which is F’s zero. This ensures that the
effect of the zero is fully neutralized when the 1/F and
A plots intersect each other.
Calculating Lead-Lag Compensation for LMV793/
LMV794
Figure 5
 is the same plot as 
Figure 1
, but the A
 and phase
curves have been redrawn as smooth lines to more readily
show the concepts covered, and to clearly show the key pa-
rameters used in the calculations for lead-lag compensation.
20216348
FIGURE 5. LMV793/LMV794 Simplified Bode Plot
To obtain stable operation with gains under 10 V/V the open
loop gain margin must be reduced at high frequencies to
where there is a 45° phase margin when the gain margin of
the circuit with the external compensation is 0 dB. The pole
and zero in F, the feedback factor, control the gain margin at
the higher frequencies. The distance between F and A
 is
the gain margin; therefore, the unity gain point (0 dB) is where
F crosses the A
VOL
 curve.
For the example being used R
 = R
 for a gain of 1. There-
fore F = 6 dB at low frequencies. At the higher frequencies
the minimum value for F is 18 dB for 45° phase margin. From
Equation 5
 we have the following relationship:
Now set R
F
 = R
 = R. With these values and solving for R
C
we have R
 = R/5.9. Note that the value of C does not affect
the ratio between the resistors. Once the value of the resistors
are set, then the position of the pole in F must be set. A
2 k
 resistor is used for R
F
 and R
IN
 in this design. Therefore
the value for R
C
 is set at 330
, the closest standard value for
2 k
/5.9.
Rewriting 
Equation 2
 to solve for the minimum capacitor value
gives the following equation:
C = 1/(2
π
f
p
R
C
)
The feedback factor curve, F, intersects the A
 curve at
about 12 MHz. Therefore the pole of F should not be any
larger than 1.2 MHz. Using this value and R
 = 330
 the min-
imum value for C is 390 pF. 
Figure 6
 shows that there is too
much overshoot, but the part is stable. Increasing C to 2.2 nF
did not improve the ringing, as shown in 
Figure 7
.
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