Additional Exercises

1:

Consider the case 2 operating point, Fs/V = 2.8744 min-1. Show that the steady-state concentrations are CAs = 6.0870 mol/liter and CBs = 1.117 mol/liter. Find the resulting state space model and verify that the manipulated input-output process transfer function for this operating point is Find the gain-time constant form for this transfer function. Show that a P controller (with the correct sign on the controller gain) cannot destabilize this process unless there are additional measurement and valve lags. Use the Routh stability criterion.

2:

Consider the following parameters given by Klatt and Engell (1998) for a reactor operating at 134.14°C. Find the two steady-state flow rates that yield a concentration of B = 0.9 gmol/liter. Find the process transfer function for the lower flow rate that yields CB = 0.9 gmol/liter. Answer: What are the poles and zeros of this transfer function?