I concur with bobflux that the intent of the poster is not clear in the question.
What I will respond to is only one possible interpretation, and is possibly not what the OP intended.
I interpret the question as asking how to make a comparator output 0.2V if the + input is less than the - input, and output some other unspecified value (5V?) if the + input is greater than the - input.
I am guessing that the question stems from the assumption that the output would be 0V without special circuitry. Such assumption might be based on another assumption that a comparator output is similar to a typical CMOS output.
Most comparators do not have CMOS type outputs, but open collector (sometimes open drain) outputs.
An open collector output requires a pull-up resistor (or something equivalent) and together with the pull-up resistor acts like a common-emitter inverter.

simulate this circuit – Schematic created using CircuitLab
When the output transistor is "off", the pull-up resistor pulls the output toward Vcc. The actual voltage achieved will depend upon the output load. When the output transistor is "on", the transistor pulls the output toward ground, but the actual voltage achieved will be the saturation voltage of the transistor at current level dictated by the pull-up resistor and load.
0.2V is probably quite close to the voltage that one would see when the output transistor is on. In fact, the actual output voltage is probably closer to 0.2V than it is to 0V. The preceding assumes that the output transistor is a BJT and not an N-channel MOSFET. In the latter case, the output may in fact be quite close to 0V.
So, depending upon the purpose of the 0.2V output (if I understand correctly that that is what is desired), it may be that nothing at all need be done if a comparator with a BJT open-collector output is chosen. The saturation voltage may be close enough for what is desired.
However, if one wants to shift the output voltage, there are a number of things that can be done without changing the "ground" for the comparator.
For example, the following modification shifts the "low voltage" up.

simulate this circuit
This circuits works almost the same as the previous. However, the "low" output voltage is shifted up by an voltage equal to \$I_CR_{offset}\$.
To make the example more concrete, suppose Vcc were 5V, Rpullup 1 k\$\Omega\$, and \$V_{sat}\$ 100 mV. Suppose we want \$V_{out}\$ to be 200 mV, rather than the \$V_{sat}\$ value of 100 mV. First we calculate the current through Rpullup = (5 V - 200 mV)/1000 \$\Omega\$ = 4.8 mA. Then we calculate Roffset needed to drop 100 mV. Roffset = 100 mV / 4.8 mA = 20.83 \$\Omega\$.
This method works well as long as the load current is much smaller than the current through Rpullup.
A similar trick can be played to lower the output voltage, by placing a shunt resistor between Vout and ground.
Again, this technique will work best if the load current is "small".
Rather than delving right into techniques for defining the output voltage more accurately, or overcoming loading effects, I will wait to learn more about the intent of the 200 mV, what problem specifying 200 mV is intended to solve, and whether or not my interpretation of the question is completely off-base.