Determine initially any first order dependencies between variables and calculate their respective gains and time constants.

Starting from the mathematical model of the system, determine all transfer functions that describe this process in deviation state in the open loop. Determine initially any first order dependencies between variables and calculate their respective gains and time constants. Furthermore, combine these first order transfer functions so that the transfer functions describing the effect of 𝐢𝐢𝐴𝐴𝑖𝑖′(𝑑𝑑), 𝑇𝑇𝑖𝑖′(𝑑𝑑) and 𝑇𝑇𝑐𝑐𝑖𝑖′(𝑑𝑑) on 𝐢𝐢𝐴𝐴′(𝑑𝑑), 𝑇𝑇′(𝑑𝑑) and 𝑇𝑇𝑐𝑐′(𝑑𝑑) are derived. Clearly show all steps taken and clearly indicate the units of all involved variables. [Marks: 10/22]b)Based on the obtained transfer functions in a) and using a generic PI controller transfer function block construct in Simulink the block diagram of the closed-loop process. There are two alternative but equivalent methods that the open-loop process can be drawn in this block diagram. Include in the assignment report a screenshot of the Simulink diagram used.

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