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A = 2, B = 3, F = 2
(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: G(s)H(s) K(s + 10) s3 where K is the open-loop gain. 1) 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 Kvalues. [6 marks] (mi) using the results from Part (ii) show that the system is stable for K> 5.F. Validate your answer using the Routh-Hurwitz stability criterion. [4 marks) (iv) determine the gain margin and phase margin when K = 7.A. Comment on the relationship between the phase margin and the transient response of the servomechanism control system. (Take wge = 12.0B rad/s). [6 marks]