Two interacting tank in series with outlet flowrate being function of the square root of tank height Modeling equations

Assume only the second tank height is measured. The output, in deviation variable form is y = h ₂ - h ₂ s.

There are two state variables, one input variable, one output variable

a. Using MATLAB/SIMULINK find The element of the A (Jacobian), B matrices and the linearization.

b. Verify that the linear approximation works well between 3.5 to 7 feet.

hi F=R- R, 91 T h2 F-R R 92 dh dt FR A A dh_R dt A |hh = f (h, h, F) /h-h R = (Mh F) A h Ms hs -N-K X= M-Ms M-15- u=F-F