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Mechanical
Although the cart was not complex mechanically, a number of realizations
that came later in the project would have been quite helpful early on
in the construction of the system. The first realization was that the
pendulum should be about one meter long. Initial work on the cart assumed
that the pendulum would only be about one foot long, but it turned out
that a longer pendulum weighted at the end is much easier to balance.
Also, the pendulum needed to be stiff. Any give in the pendulum along
the direction of motion would create problems in the control circuit.
Additionally, testing the motor speed with the available voltage early
on would have avoided a number of headaches associated with changing the
supply voltage and pulley ratio late in the project. Also, the angle at
which the cart couldn't recover should have been more conservatively estimated
to avoid having to remachine the stops on the pendulum bracket. Furthermore,
the traction requirements of the high torque motor used should have been
more carefully considered. Additional weight over the shafts as well as
wheels with better traction would have helped immensely.
Circuitry
Although the PD control circuit was built and tested early on, it would
have been better to integrate the controller with the motor early on.
The addition of the motor and motor control circuit lead to the rise of
a series of difficulties including burning out transistors and op-amps
as well as losing the bidirectional motor control. Swapping LM10 op-amps
for more robust 741 chips alleviated the burn out problem and the addition
of fly-back diodes solved the issue of losing bidirectional motion.Additionally,
using an on/off switch to connect and disconnect the motor rather than
reconnecting the lead to the breadboard and creating a spark virtually
eliminated the burning out issue.
Overall
Although the project did not end up functioning entirely according to
plan, once the issues mentioned above were addressed, the performance
of the cart improved by leaps and bounds. Although the project was started
rather early on, many difficulties arose from not connecting the electrical
and mechanical aspects of the project until late in the project timeframe.
Had these issues been identified and addressed earlier, the final performance
of the cart would have been far superior to the clumsy operation it exhibited
when presented. It should not take much work to improve the cart to make
a properly functioning demonstration of PD control.

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