ldo with current limit function
The design of the main loop when the current limit is not triggered is the same as any LDO design. You need to consider the method of compensation depending on the a few things, output capacitor, capacitor ESR, Max load, min load, and the opamp structure.. If you have some problem on stablity, try to lower the open loop gain. (correct me if I am wrong). Normally, LDO open loop gain is lower than the normal opamp open loop gain.
When the current limit is activated, please consider the other loop and try to use same compensation capacitor as the main loop. I does not really understand what you means on single stage opamp...