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(b) 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 S PID Controller 2 s² + 3s + 2 Robot Leg dynamics Ⓒ(s)

(b) 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 S PID Controller 2 s² + 3s + 2 Robot Leg dynamics Ⓒ(s)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)
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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