@OP
Settling time for a step change in PW can most certainly be calculated. Thru
classic LaPlace and other non linear techniques (to handle phase detector
non linearities) and of course the loop filter behaviour.
Gardner, Dean Banerjee, others, have analysis in his various pubs, many IEEE papers
on analysis of non linear behaviour in PLLs, eg. phase detector focus.
The general T(s) of a loop and its response to a step change in phase
readily evaluated. Crcuicial in some applicatiopns, not the least communications.
Regards, Dana.