R(s) + R(s) 4 S+1 (d) (a) Determine the location of the closed-loop poles and plot on the s-plane. + 5 S + 10 Figure Q.4a (b) The control system can be approximated as a second order system. Explain why this is so. (c) A unit step input is applied to the system. Determine the settling time Ts, peak time Tp, percent overshoot %OS and steady state error ess. controller K(s+5) 1 S Sketch the expected output response from the information obtained in part (c). Then discuss the stability of the system. (e) If a controller is added to the system as shown in Figure Q.4b, determine the range of K for the new system stability. 4 s+1 C(s) Figure Q.4b 5 s + 10 1 S C(s)

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Please solve question d,e

R(s)
R(s)
(a)
+
4
s+1
+
5
s + 10
Figure Q.4a
Determine the location of the closed-loop poles and plot on the s-plane.
(b) The control system can be approximated as a second order system. Explain why
this is so.
(c)
A unit step input is applied to the system. Determine the settling time Ts, peak
time Tp, percent overshoot %OS and steady state error ess.
controller
(d) Sketch the expected output response from the information obtained in part (c).
Then discuss the stability of the system.
K(s + 5)
S
If a controller is added to the system as shown in Figure Q.4b, determine the
range of K for the new system stability.
4
s + 1
C(s)
Figure Q.4b
5
s + 10
1
S
C(s)
Transcribed Image Text:R(s) R(s) (a) + 4 s+1 + 5 s + 10 Figure Q.4a Determine the location of the closed-loop poles and plot on the s-plane. (b) The control system can be approximated as a second order system. Explain why this is so. (c) A unit step input is applied to the system. Determine the settling time Ts, peak time Tp, percent overshoot %OS and steady state error ess. controller (d) Sketch the expected output response from the information obtained in part (c). Then discuss the stability of the system. K(s + 5) S If a controller is added to the system as shown in Figure Q.4b, determine the range of K for the new system stability. 4 s + 1 C(s) Figure Q.4b 5 s + 10 1 S C(s)
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