Control Theory in One Hour
Read all linked pages.
- We will start with an example of using a controller to vary pump
speed until a desired
mass flow (set point mass flow) is obtained.
- If we know mass flow as a function of omega then its just a
matter of solving the
- By Newton's method, the first guess at a solution is
- Unfortunately we don't generally know the form of the function f,
but the pattern
above gives the form of the simplest (proportional) control algorithm.
- Define the error function
- Then a proportionality constant, G (Gain), which replaces the
pump speed in the above linearization.
- Overview of P,PI, and PID controllers
- PI most used for our purposes
- P always has an offset, in this example it will never drive the
mass flow rate to the
set point value.
- The integration term in PI corrects the offset
- Discuss Gains and time scales
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