Which of the processes that are described by the following transfer functions would

exhibit inverse response when subjected to a step change in the input?

a$)G(s)=\frac{8s+1}{4s+1}$

b$)G(s)=\frac{1-4s}{4s+1}$

c$)G(s)=\frac{0\mathrm{.}5s+1}{(4s+1)(s+1)}$

d$)G(s)=\frac{1-3s}{(4s+1)(s+1)}$

e$)G(s)=\frac{s^3+5s+3}{s^2+s+1}$

Which of the following statements is True?

a$)$ The ideal proportional controller includes physical limits on the controller output

b$)$ The addition of the integral control mode facilitates offset elimination that is

associated when using proportional mode only

c$)$ Further buildup of the integral term while the controller is saturated is referred

to as offset filter

d$)$ Proportional control mode is never used alone

e$)$ Integral control action tends to improve the dynamic response of the controlled

variable by reducing the settling time

Questions $5$ & $8$ Consider this transfer function $G(s)=\frac{4e^{-5s}}{18s^2+6s+2}$

What is the value of the time delay:

a$)2$

b$)3$

c$)5$

d$)9$

e$)18$

What is the value of the time constant:

a$)2$

b$)3$

c$)4$

d$)5$

e$)18$

What is the value of the process gain:

a$)2$

b$)3$

c$)4$

d$)5$

e$)18$