Phugoid
Hi HazelNuts39. I recall reading about those two events a while ago, though I have lost familiarity with them now. The impression I got (I might be wrong), from one of those events, was that the alpha protection control law in the Airbus seems like a separate “bolt on”feature on top of the C* law. I was surprised to learn that the alpha protection law can “latch” on.
The control law approach I am most familiar with is to blend smoothly between the “auto trim” and “alpha demand” modes based on pitch stick position and sensed alpha. It wouldn’t run into the problem of an alpha spike latching it in a mode in which the computed and commanded centre stick alpha value wasn’t appropriate.
An interesting point to note is that we have no phugoid damping features in the alpha demand path on our aeroplane. Full back stick gives unmodified maximum alpha within moments (unless g limited). Our phugoid is more damped naturally.