Obtain discrete transfer function using finite difference method
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Q. 3 : Consider two non- interacting tanks in series as shown below . Liquid flows in the first tank atthe rate of fin ( manipulated variable ) , and it is permitted to flow out at a possibly different flowrate Fj , which in turn flows into the second tank . Assuming that the outlet flows of the two tanksare directly proportional to their liquid levels , and that the constant of proportionality is the valve*resistance ", and c z for the two tanks respectively , then from the mass balance , we can derive thefollowing two equations :"dhi.atCIhit A, JinAl( 1 )dh z =( 2 1 21- 74 ToatA2A2( 1 of 2 )