10V RMS = 28.28V You will need a 30 to 35V DC power supply. You could use a power transformer, but at the frequency you have selected it won't be that practical. Basically you are wanting to make a simple inverter. IMO you will need a precision sine wave with a stable amplitude, a PWM modulator, and a full H bridge circuit. Did my description make sense to you (checking your electronics background)?
Don't aeronautics instruments have to be certified? How are you(O/P) going to get this certified? The forum does not allow automotive modification threads so I doubt that this thread will survive long. Who wants a plane to drop from the sky?
Some things are better off being bought and this would be one of them.