If you're concerned about the error amp, reduce C5 or add a resistor in series. Tweak values.
The waveform shown is simply what overshoot you'd expect. The slew rate is limited by C2-R2. The overshoot and undershoot are characteristic of an integral type compensator. If you want better transient waveforms, test between 10-100% or 50-100% of rated load, not 0-100%.
Also, the voltage gain stuff is really weird. Why does X1 need a follower? It can't be for current capacity, the pull-up resistor is quite weak. The gain stage seems to be wired for a gain of about 60, ten times what's necessary (the op-amp presumably has a range of 0-5V, give or take actual voltage range; the output stage can only ever use 0-30V). The gain stage has this weird emitter-feedback, but miller-compensated topology, which probably works fine, but probably also not as well as can be. It's also wide open on sheer current capacity.
Q6 can pull a maximum of 7.6mA, which will more than saturate Q5, even to >500mA Ic. Which will more than saturate Q4 (Ic > 6A), and dump some serious current into R4/R8 and Q1/Q3 base. Normally this simply won't occur, but even a momentary short circuit WILL destroy the transistors and/or resistors. Which will then burn R1/R6 as the transistors most likely fail shorted. If they actually go open-collector (unlikely, but possible), and if Q4 or Q5 survives, the circuit will still appear to work, but at much reduced ratings, which is even more strange. (Q5 delivering load current via shorted B-E's, or R5/R9.)
The suggestion for PMOS is funny because you've already got such an inverting gain stage (Q5). It just doesn't have the current capacity of an output device (well, it's not supposed to..), and is probably much faster (though slowed down by C4, oddly enough). But I wouldn't bother with MOS (P or N) for a bench supply, emitter followers are fine.
At the very least, an emitter resistor for Q5 would be a decent start, as well as a current limiter circuit for any of Q1/Q3/Q4. Foldback or adjustable current limit can be optional extras, but a hard wired limit is a must.
I would much rather see something like,
- TIP31C followers (no need for excess current capacity, unless it's just what you have on hand), two in parallel is good
- Modest e.g. 2N4401 driver, with suitable current limiting (collector can be supplied by a current source, if you're really hard core about protection)
- At least simple current limiting (e.g., 2N3904 or 4401 wired across one or both of the output emitter resistors, collector back to the voltage gain node -- the driver base)
- Gain stage should be passive current source (not sink), active pull down (common emitter amplifier), with shunt feedback (resistor from voltage gain node to base to op-amp). Offset needs to be adjusted, so some resistance from base to ground (or -V), and/or bias voltage at the emitter, will help there.
- Both C5 and C3 should have series resistors; C5 for improved compensation (type II / proportional-integral compensator), C3 because otherwise, transients at the output are coupled directly into the op-amp, potentially causing problems. R11-C3(-series R) also constitute a lead-lag network against the op-amp, which is useful for very difficult compensation needs, but likely unnecessary here. (Maybe it was necessary, as shown: with the already double-integral system from C2, C4 and C5?)
Tim