Question 5. Fig. 2 provides the block diagram for the closed-loop system by the proportional control K to control the angular position 0.(t) of a heavy object to the desired angular position 0;(t). The transfer function T(s) from O₂ (s) to (s) is T(s) = KG(s) 1+ KG(s)' i.e. Oo(s) = T(s);(s). Given that 1 G(s) = s(s+20)' and where u(t) is the unit step function. = 0₁ (t) = u(t),

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for K = 100: plot  θo(t) - is the system critically damped, overdamped, or under damped?

theta i
sum
k
G(s)
theta o
Transcribed Image Text:theta i sum k G(s) theta o
Question 5. Fig. 2 provides the block diagram for the closed-loop system by the
proportional control K to control the angular position 0.(t) of a heavy object to the
desired angular position 0;(t). The transfer function T(s) from O₂ (s) to (s) is
T(s)
=
KG(s)
1+ KG(s)'
i.e.
Oo(s) = T(s);(s).
Given that
1
G(s) =
s(s+20)'
and
where u(t) is the unit step function.
=
0₁ (t) = u(t),
Transcribed Image Text:Question 5. Fig. 2 provides the block diagram for the closed-loop system by the proportional control K to control the angular position 0.(t) of a heavy object to the desired angular position 0;(t). The transfer function T(s) from O₂ (s) to (s) is T(s) = KG(s) 1+ KG(s)' i.e. Oo(s) = T(s);(s). Given that 1 G(s) = s(s+20)' and where u(t) is the unit step function. = 0₁ (t) = u(t),
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