OOps, I forget to indicate that the bank angle is X5 on the scale. and the headimg was heading -300 (from some other plots I was last doing - should have checked that 
)
Its not so much the absolute Bank angle that is important here, its how it only decreases at the plane reaches its desired heading. Setting max bank angle is easy, its the Gain, I & D that is out here to get a more responsive system that does not overshoot …
or, really, what is REALISTIC.
The jump is as the heading flips going through North.
Its the response of returning to level after the bank that is painfully “underdamped”
I’ll designed more PID controlled systems than I care to think about