Consider a closed-loop system in the standard negative unity feedback configuration with controller C(s) and plant G(s) in the forward path. R(s) C(s) G(s) Kps+K₁ Y(s) If you use Pl, control, i.e. C(s) = K₂ + K and the plant is given by G(s) = 1 what must the proportional gain K₂, be to achieve a closed-loop damping ratio ( = 0.1 and natural frequency w = 10 rad/s?

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Consider a closed-loop system in the standard negative unity feedback configuration with controller
C(s) and plant G(s) in the forward path.
R(s)
C(s)
=
G(s)
If you use Pl, control, i.e.
C(s) = Kp +
and the plant is given by
G(s) = 1
what must the proportional gain K, be to achieve a closed-loop damping ratio < = 0.1 and natural
frequency wn = 10 rad/s?
Kps+K;
Y(s)
Transcribed Image Text:Consider a closed-loop system in the standard negative unity feedback configuration with controller C(s) and plant G(s) in the forward path. R(s) C(s) = G(s) If you use Pl, control, i.e. C(s) = Kp + and the plant is given by G(s) = 1 what must the proportional gain K, be to achieve a closed-loop damping ratio < = 0.1 and natural frequency wn = 10 rad/s? Kps+K; Y(s)
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