Dave,
Nor do operators like odd looking time domain responses. In a real, non-linear plant, only the time domain matters in the end. The bottom line is, "How does the plant behave over time?"
1 - Are any parameters outside safe boundaries, i.e. maximum over shoot too great?2 - Is the blended product composition off spec, i.e. average error too great?
3 - Is any of the equipment being overstressed, i.e. rate of change of output, or PV, too great?4 - Does the PV return to setpoint quickly enough that the resulting error can be averaged out in the tankage?
5 - Is the process stable across the entire range of operating conditions, i.e. closed loop gain < 1 despite uncontrollable changes in process gain?You will note that none of these parameters are readily identifiable in the frequency domain but they sure do show up in a time domain plot.
Frequency domain makes entertaining math. Time domain makes money.
Walter.