Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please may I have the correct solution for part b of this question.

Q2
A PID controller is designed to control the robot leg, and the control system is shown
in Figure 2 where K is a positive gain.
(a)
(b)
R(s)
Find the closed-loop transfer function (s)/R(s).
Use the Routh-Hurwitz stability criterion to determine the range of the parameter
K such that the closed-loop system is stable.
K
1+-+s
SA
PID Controller
2
s² + 3s + 2
Robot Leg dynamics
Figure 2
✪(s)
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Transcribed Image Text:Q2 A PID controller is designed to control the robot leg, and the control system is shown in Figure 2 where K is a positive gain. (a) (b) R(s) Find the closed-loop transfer function (s)/R(s). Use the Routh-Hurwitz stability criterion to determine the range of the parameter K such that the closed-loop system is stable. K 1+-+s SA PID Controller 2 s² + 3s + 2 Robot Leg dynamics Figure 2 ✪(s)
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