Model the Control System:

Utilize the derived differential equation to construct the system model in

MATLAB.

Provide a detailed explanation of your modeling approach, including the

incorporation of the PID controller and disturbance factors.

Instructions:

Modify and utilize the provided MATLAB script to reflect the system parameters.

Clearly outline each step in your derivation and modeling process.

Combine theoretical explanations with practical MATLAB implementations to

demonstrate comprehensive understanding.

Formulate the differential equations of the control system including plant and

PID controller.

Explain each term in the equation, highlighting the roles of the parameters and

PID coefficients.

Model the Control System:

Utilize the derived differential equation to construct the system model in

MATLAB.

Provide a detailed explanation of your modeling approach, including the

incorporation of the PID controller and disturbance factors.

Instructions:

Modify and utilize the provided MATLAB script to reflect the system parameters.

Clearly outline each step in your derivation and modeling process.