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Inverting and Balancing a Pendulum using Control Theory

For my undergraduate linear control theory lab course, we were given the option to go above and beyond the requirements for the final project, which was to simply balance an inverted pendulum, and design a system that inverts and then balances a pendulum.
The red laptop nearby ran the software commanding the cart and pendulum system.  It is of note that the computer suffered from irregular performance, for instance, the computer would randomly pause executing code, and then speed up the program output to resynchronize with the internal computer clock.  The point is that this control architecture was robust to not only disturbances, but also system delay.