|M.Sc Student||Hassine Yuli|
|Department||Department of Physics||Supervisor||Professor Michael Reznikov|
|Full Thesis text|
A Proportional-Integral-Differential controller is a control loop mechanism, commonly used to force a controlling parameter, e.g. temperature, to a desired value at satisfying accuracy. It is a simple algorithm, which is easy to implement, and it is therefore widely used to control both laboratory and industrial processes. The aim of this project was to adopt a PID controller for the temperature stabilization of low temperature measurements. We used a resistor with temperature-dependent resistivity as a temperature sensor, and measured its resistance with a lock-in amplifier. Direct current output of the same lock-in was used to drive the heater, so the entire system was based on a single instrument.
In this work I analyzed the physical properties of the system under control affecting the temperature stabilization, and investigated the logic behind choosing proper parameters for the PID controller. I compared the experimental results with analysis of the system based on solution of the differential equations for the system dynamics.