(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: K(s + 10) G(s)H(s) = 3
Posted: Sat May 21, 2022 1:42 am
(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: K(s + 10) G(s)H(s) = 33 where K is the open-loop gain. (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(jw)-plane and investigate the system's behaviour for varying K values. [6 marks] (ii) using the results from Part (ii) show that the system is stable for K>5.5 Validate your answer using the Routh-Hurwitz stability criterion. [4 marks] (iv) determine the gain margin and phase margin when K = 7.2 Comment on the relationship between the phase margin and the transient response of the servomechanism control system. [Take Wgc = 12.06 rad/s]. [6 marks]