I would suggest to use airspeed as input to a PID controller, your desired airspeed as reference and the elevator control surface as output. I haven't tried this, so good luck!
Works like a charm :-) I got it stable with: Kp=0.0125, Ti=30.0, Td=0.0 with the Piper. You can start from there, and I'm sure that fine tuning will get better performance.
-- Roy Vegard Ovesen
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