need help programming an arduino uno to vary an output based on an input and correct itself

I'm looking for some help to program an Arduino Uno so that it will vary its output based on an analog input, and adjust the speed of the output based on this input. Specifically, I require that I be able to control a generator in this manner. My ideal solution would be one which can take the input, detect any errors between the expected and actual output from the Arduino, and correct the speed of the output accordingly. This project requires extensive knowledge in programming Arduino, as well as a strong understanding of the principles surrounding analog and linear feedback systems. I look forward to working with someone who can assist me in making this project a success.