mathematical model for a PID controller
mathematical model for a PID controller
(OP)
Hello,
I'm building a temperature control for a coffee machine and i would like to know if it is possible to make a digital PID or PI controller for it without having the mathematical model of the water boiler.
And if it's not possible, how to get the transfer function of the water boiler.
I'm building a temperature control for a coffee machine and i would like to know if it is possible to make a digital PID or PI controller for it without having the mathematical model of the water boiler.
And if it's not possible, how to get the transfer function of the water boiler.





RE: mathematical model for a PID controller
Your variable of control is Temperature of Coffee machine and input variable is some heat input to water boiler. If you can give different magnitude inputs and get final steady state temp then you can fit this data to linear model
If you can't do several experiments, then you can give few step input changes (say +/- 5%) and see the dynamics of the system which will give time constant and any lag etc. You can tune your PID controller parameters with this.
I hope this will help you.
best wishes
Prashant
RE: mathematical model for a PID controller
Hope this helps.
saxon