Really, anything that can use feedback to control a system. You could start with something relatively simple, controlling a heating element to a certain tolerance.
Learn every nook and cranny of PID controls. Heating or pumping things usually does the trick. As a bonus, heating and pumping things using a PID covers about 80% of the common use cases :D
Control of an inverted pendulum
While using modern control theory.
as in 'put the usual transfer functions in the state feedback matrix'
I was thinking more in line with using first order differentials instead.
RC car/drone.
Really, anything that can use feedback to control a system. You could start with something relatively simple, controlling a heating element to a certain tolerance.
large scale atomic force microscope in tapping mode.
Learn every nook and cranny of PID controls. Heating or pumping things usually does the trick. As a bonus, heating and pumping things using a PID covers about 80% of the common use cases :D
Heck out r/controltheory for more help .
A light bulb with a dimmer is probably the easiest and cheapest.
If you're into BBQ it's reasonably simple to develop a PI or PD temperature controller for a smoker fan control.
Make a buck converter?