(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: K(s + 10) G(s)H(s) 53

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B The Open Loop Transfer Function Oltf Of A Unity Feedback Servomechanism System Is Given By K S 10 G S H S 53 1 (16.76 KiB) Viewed 25 times

3 )(i) investigate the condition(s) for the stability of the
OLTF using the contour
mapping technique and the Nyquist stability criterion.
[7 marks]
(ii) sketch the Nyquist diagram of the system in the
GH(jω)-plane and
investigate the system's behaviour for varying K values.
[6 marks]
(iii) using the results from Part (ii) show that the system is
stable for K > 5.6.
Validate your answer using the Routh-Hurwitz stability
criterion.
[4 marks]
(iv) determine the gain margin and phase margin when K = 7.1.
Comment
on the relationship between the phase margin and the transient
response of
the servomechanism control system. [Take ωgc =
12.02 rad/s].
[6 marks]
(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: K(s + 10) G(s)H(s) 53 where K is the open-loop gain.