The next several questions will investigate the controller design for the plant transfer function 1 G (s) = (s+1)(s+2) that is used in a unity-feedback topology R(S) Σ = Do(s) G(s) where Dc (s) will be specified in the problems below. (8+1)(8+2) Y(s) Given the plant transfer function G (s) = (s+1)(s If using a modified PD-controller of the form, De (s) = K- using Rule 3 of the Root-Locus Rules, where is the center (a) of the asymptote located along the real axis? (s+10) (s+4)

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The next several questions will investigate the controller design for the plant
transfer function
1
G (s) =
(s+1)(s+2)
that is used in a unity-feedback topology
R(s) (Σ) De(s)
G(s)
where Dc (s) will be specified in the problems below.
Given the plant transfer function
1
G (s) =
(s+1)(s+2)
Y(s)
(s+10)
(s+4)
If using a modified PD-controller of the form,
De (s) = K
using Rule 3 of the Root-Locus Rules, where is the center (a) of the asymptote
located along the real axis?
Transcribed Image Text:The next several questions will investigate the controller design for the plant transfer function 1 G (s) = (s+1)(s+2) that is used in a unity-feedback topology R(s) (Σ) De(s) G(s) where Dc (s) will be specified in the problems below. Given the plant transfer function 1 G (s) = (s+1)(s+2) Y(s) (s+10) (s+4) If using a modified PD-controller of the form, De (s) = K using Rule 3 of the Root-Locus Rules, where is the center (a) of the asymptote located along the real axis?
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