My question is simply this:
InAs an example, consider a P-T1-system with a PID-controller. First look only at the context ofP-T1 system, set a known disturbance $d(t)$ in$y_r$ and wait a control loop, what is thelong time $\Delta t$ at- then we take a look on its output $x$ and see that it has still a disturbance $d$ which variates with time (see the control loop has to be executed?plot, system output $= x$). In this model, the system output is, after you wait a long time, a constant plus $d(t)$.
To add two points
The next step is to the questionintroduce a PID-controller:
In
For this loop alone we could just use some experience-based technique like the context of a known disturbanceZiegler and Nichols procedure to adjust its parameters $d(t)$ in a$K_p$, discrete$K_i$ and $K_d$ optimally. If we switch to discrete control loop, what isbecause the controller is digital, we will have one additional parameter: The $\Delta t$ at which the control loop has to be executed in order to function?controller operates.
If you know the system outputWhat $\Delta t$ is required for the case of no controller for an ordinary control loop to diminish the effects of (see$d$ on the pictures). Lets say you want to have a constant system output? The trend will of 380. Iscourse be the smaller $\Delta t$ the better, but is there a general rule how fast a discrete control loop has two operate in order to achieve this?
If there is no general rule for an arbitray controller, we can restrict the question to an ordinary PID-Controller.
(source)
maximum $\Delta t$?
