Question
For 10 points each, answer the following about PID controllers:
[10e] PID controllers apply corrections based on proportional terms, derivative terms, and terms based on this operation. This calculus operation can be approximated with a Riemann sum.
ANSWER: integration [accept equivalents such as taking the integral]
[10m] As with all controllers, a PID controller’s transfer function is obtained by applying this operation to the input and output. This operation equals [read slowly] the integral from zero to infinity of g of t times e to the minus s t dt.
ANSWER: Laplace transform
[10h] A PID controller’s stability can be evaluated by counting the transfer function’s poles and zeroes in a criterion named for this scientist. He also names the minimum sampling rate that a band-limited signal can be reconstructed at.
ANSWER: Harry Nyquist [accept Nyquist stability criterion or Nyquist rate]
<Science - Other Science>
Summary
| 2024 Booster Shot (Columbia) | 02/23/2024 | Y | 6 | 11.67 | 83% | 17% | 17% |
| 2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 7 | 15.71 | 100% | 29% | 29% |
| 2024 Booster Shot (Vanderbilt) | 03/02/2024 | Y | 4 | 17.50 | 100% | 25% | 50% |
| 2024 Booster Shot (WUSTL) | 03/09/2024 | Y | 3 | 10.00 | 100% | 0% | 0% |
| 2024 Booster Shot (Waterloo) | 02/23/2024 | Y | 4 | 20.00 | 100% | 75% | 25% |
Data
| Penn State A | Iowa | 10 | 10 | 10 | 30 |
| Michigan A | Ohio State | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Case Western | Michigan C | 10 | 0 | 0 | 10 |
| Penn State B | Vassar | 10 | 0 | 0 | 10 |
| North Carolina | Michigan B | 10 | 0 | 0 | 10 |
| WUSTL | Ohio | 10 | 10 | 10 | 30 |