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Soft-Starting TPS758A01 for Super Cap Charging

Other Parts Discussed in Thread: LMP8646

I'm trying to devise a way to soft-start the 758A01 (5V in 4V out) adjustable LDO for charging a 5F SuperCap over a 30- to 60-second interval.  Traditional adjustable regulators with NPN pass devices would allow a large capacitor from the reference/feedback pin to ground.  However, I don't know if the 758A01 would be stable during the interval where the reference pin is forced to be <0.8V during the initial charging of the soft-start capacitor.  Is this method feasible, or do I need to use an adjunct current-limit op-amp and sense resistor such as LMP8646.  If the latter, how do I ensure stability?