I wish this site expanded a little to model a few things present in most real world systems:
* Limits. Nearly all systems have a maximum and minimum input value. That should be modelled so behaviours when the limit is reached can be modelled. For example, a car has a top speed - and any further pressing of the accelerator will not make it go faster, but a PID loop will keep integrating any error, causing the system to not behave as expected.
* 'Slack/Hysterisis'
* Asymmetric systems - the force applied when pushing a system may not be the same as pulling.
I really want a system where data can be thrown in like this, and it fit a model to the data and suggest not only PID values, but other types of controller which would be a better fit.
* Limits. Nearly all systems have a maximum and minimum input value. That should be modelled so behaviours when the limit is reached can be modelled. For example, a car has a top speed - and any further pressing of the accelerator will not make it go faster, but a PID loop will keep integrating any error, causing the system to not behave as expected.
* 'Slack/Hysterisis'
* Asymmetric systems - the force applied when pushing a system may not be the same as pulling.
I really want a system where data can be thrown in like this, and it fit a model to the data and suggest not only PID values, but other types of controller which would be a better fit.