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Adaptive PID Thermal Equilibrium Stabilizer

Design a control system that maintains a target temperature in a localized chamber despite exogenous thermal disturbances. You must implement a discrete-time PID algorithm that dynamically adjusts for process lag and non-linear heat dissipation rates. The final solution must demonstrate a settling time under 60 seconds with steady-state error tolerance below 0.5 degrees Celsius.

Materials: Microcontroller (Arduino/ESP32), power MOSFET, resistive heating element, thermistor, breadboard, jumper wires, and insulated styrofoam container.

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