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Q3: (6 marks) Consider the three tanks in series process in the following figure which are represented by a third.order linear model whose transfer function

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Q3: (6 marks) Consider the three tanks in series process in the following figure which are represented by a third.order linear model whose transfer function is given below. It is decided to use proportional only feedback control of the liquid level in Tank 3 with Kc=1. G(s)=(2s+1)(4s+1)(6s+1)6 A. Find the closed-loop transfer function to a unit step change in set-point. (2) B. Determine the final steady-state value to which the system settles? (1) C. Calculate the steady-state offset? D. What are the steps (in order) to obtain the required analytical expression for the transient response of the system? Solution Tips: h(t)=K1M(1et/1),K1=1+KOLKOL,1=1+KOL,KOL=KcKUPKVKPKM

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