Determine the initial PID parameters and check the stability of the system by using Ruth-Hurwitz criteria.

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Create a block diagram for Liquid Zone Level Control. Derive the transfer function for each block in the block diagram mainly including the transfer function for the plant and the measurement sensors, use your most educated assumption if there is no real-life data available.  Determine the initial PID parameters and check the stability of the system by using Ruth-Hurwitz criteria. If possible, build this closed loop system in MATLAB Simulink.

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