Question 1 A PI controller is designed for a mechanical system modelled by R(s) + G(s) = - The block diagram of the control system is shown in Figure 1.1 where R (s) and Y(s) are the reference input and system output respectively. = 0.1K₁ + -2- 90 s(2s² +9s + 6) 0.1 K₂ S PI Controller Figure 1.1 90 s(2s² +9s + 6) Mechanical System Y(s) (a) Find the closed-loop transfer function Y(s)/R(s). Then, find the steady state output in response to the unit step signal.

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Question 1
A PI controller is designed for
R(s)
+
mechanical system modelled by
G(s) =
The block diagram of the control system is shown in Figure 1.1 where R(s) and Y(s)
are the reference input and system output respectively.
0.1K₁ +
-2-
90
s(2s² + 9s + 6)
0.1 K₂
S
PI Controller
Figure 1.1
90
s(2s² +9s + 6)
Mechanical
System
Y(s)
(a) Find the closed-loop transfer function Y(s)/R(s). Then, find the steady state
output in response to the unit step signal.
maj
Transcribed Image Text:Question 1 A PI controller is designed for R(s) + mechanical system modelled by G(s) = The block diagram of the control system is shown in Figure 1.1 where R(s) and Y(s) are the reference input and system output respectively. 0.1K₁ + -2- 90 s(2s² + 9s + 6) 0.1 K₂ S PI Controller Figure 1.1 90 s(2s² +9s + 6) Mechanical System Y(s) (a) Find the closed-loop transfer function Y(s)/R(s). Then, find the steady state output in response to the unit step signal. maj
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