Another option is to install at the output of each power supply a ralay (standard, solid state, transistor switch, etc) which will activate the next stage. In this situation they will be up in the proper sequence ..
In microcontroller situation you can use microcontroller pins as reset signal to other circuits and use the microcontroller reset as the master reset. In the software you write time delay routins for each pin and they will wake up other devices in a pre-programmed sequence ..