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After running some simulations, I don't understand which problems you see with the TL431 circuit. Although the original loop bandwidth isn't very high, load tranisient behaviour is acceptable for an amplifier application. It seems like the transient behaviour can be tuned further. But the feedback signal stays in a linear range, except for changes to no load, which isn't primarly a problem of the feedback circuit. Recovery from unload still isn't bad, however.
Depending on the loop dimensioning, you can get an overshoot problem during power-up. It should be better handled by an appropriate softstart circuit rather than tuning the feedback loop, I think.
Depending on the loop dimensioning, you can get an overshoot problem during power-up. It should be better handled by an appropriate softstart circuit rather than tuning the feedback loop, I think.