I am a programmer who lacks the mathematics side of things. I need help writing out a SOPDT equation and a Smith Predictor using simple math. I did not go to school for this and understand that there is probably more to it than simple math. My process has a long deadtime around 15-20 minutes before a change is seen. I've tried simple PI control but I tend to overshoot my setpoint quite a bit. I'm using a PLC with ladder logic, the plc has every math function I would need to incorporate some model control. If anyone is interested in helping me I would likely pay.
2026-03-28 02:21:03.1774664463
Control process with long deadtime
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I will suggest Model Predictive Control (MPC) for a system with a dead-line. This control method will highly improve stability and reduces the error.
You can find an example of MPC comparison with PID at here.
More mathematical formulation at here.
I should note that the mathematical formulation of MPC is larger than PID hence more complex.