Page 168 - Servo Motors and Industrial Control Theory -

164 Appendix A

Q i + T
T:= K a
s1τ +
o
where

mC
: τ =
K
where m is the mass of fluid or air inside the oven and C is the corresponding
heat capacity. And K is the conductance constant of the wall.
For τ = 2 s and the numerator of 50 when T = 0, find the time response of oven
a
temperature for step input of the input heat by two methods of partial fraction
and the solution given in the theory of control. Calculate the temperature for
t = 0.2 and t = 1 and t = 2 and t = 4 and t = 6 and t = 10 s.
Discuss the effect of outside temperature to the required temperature. Notice
that the outside temperature appears as positive disturbance.
11. Show that a junction in the feedback loop as,

G(s)

H(s)

can be moved to the front of a transfer function with careful consideration as,

G(s)

G(s) H(s)

where G(s) and H(s) are the corresponding transfer functions.
12. Show that a junction in the feedback loop as,

G(s)

H(s)

can be moved in front of a transfer function with careful considerations as,

G(s)

H(s)
G(s)