A hydraulic tilt control system for a high-speed train is shown in Figure 4 below. Desired tilt R(s) Where G(s) = 12 70s (s + 10) Gc(s) Figure 4 G(s) Actual tilt Y(s) 4(a). If the controller transfer function Ge(s) = K. determine the range of K to achieve the following requirements i) closed-loop stability, and ii) percentage overshoot for a unit-step input ≤ 5%, 4(b) If Ge(s)=Kp+Kps, determine the values Kp and Kp to achieve closed-loop poles at s₁ = -5 and s₂ = -6

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A hydraulic tilt control system for a high-speed train is shown in Figure 4 below.
Desired tilt
R(s)
Where
G(s) =
12
70s (s + 10)
Gc(s)
Figure 4
G(s)
Actual tilt
Y(s)
4(a).
If the controller transfer function Ge(s) = K. determine the range of K to achieve the following
requirements
i) closed-loop stability, and
ii) percentage overshoot for a unit-step input ≤ 5%,
4(b)
If Ge(s)=Kp+Kps, determine the values Kp and Kp to achieve closed-loop poles at s; = -5 and s₂ = -6.
Transcribed Image Text:A hydraulic tilt control system for a high-speed train is shown in Figure 4 below. Desired tilt R(s) Where G(s) = 12 70s (s + 10) Gc(s) Figure 4 G(s) Actual tilt Y(s) 4(a). If the controller transfer function Ge(s) = K. determine the range of K to achieve the following requirements i) closed-loop stability, and ii) percentage overshoot for a unit-step input ≤ 5%, 4(b) If Ge(s)=Kp+Kps, determine the values Kp and Kp to achieve closed-loop poles at s; = -5 and s₂ = -6.
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