c2 92 LT h AT 모 c3 93
A blending system is shown in Fig. Liquid level hand exit composition c3 are to be controlled by adjusting flow rates q1and q3. Based on the information below, do the following:(a)Derive the process transfer function matrix,Gp(s).(b)If a conventional multiloop control system is used, which controller pairing should be used? Justify your answer.(c)Obtain expressions for the ideal decouplers T₂₁(s)andT₁₂(s) in the configuration of Fig. The tank is 3 ft in diameter and is perfectly mixed.(ii)Nominal steady-state values areh=3ftq3=20 ft3∕minc1=0.4 mole∕ft3c2=0.1 mole∕ft3q1=10 ft3∕min(iii)The density of each process stream remains constantatρ=60 lb/ft3.(iv)The primary disturbance variable is flow rate q2.(v)Inlet compositions c1 and c2 are constant.(vi)The transmitter characteristics are approximated bythe following transfer functions with time constantsin minutes:Gm11(s)=40.1s+1(mA∕ft)Gm22(s)=1000.2s+1(mA ft3∕mole)(vii)Each control valve has a gain of 0.15 ft3/min mA and a time constant of 10 s.
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