A dynamic model of the stirred-tank heating system in Fig was derived in Chapter 6. Use this model to do the following:

(a) Derive an expression for the relative gain array.

(b) Design art ideal decoupling control system assuming that the transmitters and control valves have negligible dynamics.

(c) Are these decouplers physically realizable? If not, suggest appropriatemodifications.

TA A = cross sectional area of tank