A PD controller adds a single zero to the loop transfer function. It is employed to improve the transient response of a system. In figure 4, the PD is cascaded with a process or plant. Given the transfer function of proportional is unity, and the derivative controller is Kas, do the following: a. Given the process transfer function G(s) =n determine the derivative gain Ka that will s(s+b) produce minimal oscillation of not more than 2%. b. Using the computed derivative gain in (a) calculate time it takes for the entire process to reach its final output or steady state (±2% of the steady state). (a=25, b-5, Kp=3)

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A PD controller adds a single zero to the loop transfer function. It is employed to improve the transient
response of a system. In figure 4, the PD is cascaded with a process or plant. Given the transfer function
of proportional is unity, and the derivative controller is Kas, do the following:
a
a. Given the process transfer function G(s) =-
produce minimal oscillation of not more than 2%.
b. Using the computed derivative gain in (a) calculate time it takes for the entire process to reach
its final output or steady state (+2% of the steady state).
determine the derivative gain Ka that will
s(s+b)
(a=25, b=5, KR=3)
C АМO_TEM_035_02
Page
c. Write a reflection on the effect of a PD controller when used in a control system.
Kp
e(t)
r(t)
Σ)
m(t)
Process
d
dt
Figure 4
Transcribed Image Text:A PD controller adds a single zero to the loop transfer function. It is employed to improve the transient response of a system. In figure 4, the PD is cascaded with a process or plant. Given the transfer function of proportional is unity, and the derivative controller is Kas, do the following: a a. Given the process transfer function G(s) =- produce minimal oscillation of not more than 2%. b. Using the computed derivative gain in (a) calculate time it takes for the entire process to reach its final output or steady state (+2% of the steady state). determine the derivative gain Ka that will s(s+b) (a=25, b=5, KR=3) C АМO_TEM_035_02 Page c. Write a reflection on the effect of a PD controller when used in a control system. Kp e(t) r(t) Σ) m(t) Process d dt Figure 4
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