Question: Design a PID controller for an electric heater on Matlab with the following constraints: 1- The mathematical model of the electric heater should be designed

Design a PID controller for an electric heater on Matlab with the following constraints:

1- The mathematical model of the electric heater should be designed as a second order system (show the design)

2- Show the effects of P, PI, PD, and PID at different values indicating what happens by increasing/decreasing the values

3- Tune the PID controller using a any method

4- The heater should follow this pattern: 30C (for 10 sec)..40C (for 10 sec)..60C (for 5 sec)...30C (for 10 sec)

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