In this work, two controllers, a Proportional Integral Derivative (PID) and a Model-based Predictive Controller (MPC), have been designed to regulate the temperature of the air inside a closed box. First, the mathematical model estimation for the system (a single-phase AC voltage controller and an incandescent bulb) was performed using Matlab® software. Then the PID controller was designed around a certain setpoint. Next, an algorithm was designed according to the Extended Prediction Self-Adaptive Control (EPSAC). Finally, the performance of the controllers is evaluated for setpoint tracking and disturbance rejection.