Determine the system of equations from the process designed to produce a desired gas from raw materials:
xdot = ax + bu
y = cx + du
Also, find the Laplace transform of the three resulting equations and the transfer function relating the input to the output.
Given:
a = [3 x 3] (x1 x2 and x3)
b = [3 x 2] (u1 and u2)
c = [1 x 3] (x1 x2 and x3)
d = [1 x 2] (u1 and u2)