Electronic – Control theory diagram for feedback circuit with compensation

compensationcontrol systemoperational-amplifier

An op-amp that drives a secondary gain stage might be given like this:

schematic

simulate this circuit – Schematic created using CircuitLab

Where it is important to note that FB1 is some impedence (unlikely to be purely real) rather than a resistor, and the same for FB2_a and FB2_b.

However, I'm unsure how to describe such a circuit using a control theory diagram. The diagram that I naively believe to be correct is here:

schematic

simulate this circuit

However, The node between FB1 and FB2 doesn't seem correct (and I'm not sure how to deal with such a node). I have seen structures where FB1 and FB2 go through a summing block, or where they go through two difference blocks in series between In and G1:

schematic

simulate this circuit

However, this seems to ignore the fact that the voltages after FB1 and FB2 must be the same, they are not added together.

How does one properly represent the circuit given above using control theory diagrams?

Best Answer

I think this tells the story a little more accurately. It is almost identical to your first diagram, but you can't just connect outputs of blocks together. This creates an impossible condition -- two outputs defining one signal without any kind of defining operator. They need to be summed, and this diagram illustrates that.

schematic

simulate this circuit – Schematic created using CircuitLab

Another way to represent this would be to combine the op amp input summer and the negative input summing node into a (+ - -) summing operator, but circuit lab doesn't seem to have that.