Build a shaker table (a building on a table that undergoes forced vibrations) for E12 labs that demonstrates modes of vibration. This is a nice project if you want a mix of electronics, hardware and software.
For control theory (or as E90) implement an active damping system for building.
PMOD’s are small modular analog and digital I/O blocks. If you need a particular sensor or output (audio…) see if there is a PMOD available.\
Digilent / Maxim / Misc
Click link to show video of inverted pendulum moving with sinusoidal position. Implement something similar. Inverted pendulum
Build an experiment for use in Control Theory class. Complexity is not necessary, but robustness is. Inverted pendulum, ball on balance beam, magnetic levitation…
Use the technique outlined in this document and attempt to tune one (or several) control systems.
A stepwise method for tuning PI controllers using ITAE criteria: http://t.co/bqd3CBY5