PID was developed by watching ship captains steer their ships into dock. PID systems can be tuned for systems of almost any speed. Remember the phrase, it takes a long time to turn a battleship? PID can help with that.I am bit skeptical on using PID since this system is a slow response one and considering the complexity of tuning a P,I and D ...
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Also, if you buy an arduino max board and a MOSFET, you can use the FREE software from the 3d printer group REPRAP. Their system has a self-tuning PID controller for a bed heater - the bed is the flat plate that they use to print the part into.
It would be best to have a 100k pull-down resistor fir the mosfet gate and a small value resistor between pin and gate.
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