(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: K(s + 10) G(s)H(s) S3
Posted: Fri May 20, 2022 8:05 pm
question 3
where A = B = 9 and F = 8 ; K>5.8 , K=7.9 , Wgc=12.09 rad/s
plz solve in 35 mins i will thumb up
(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: K(s + 10) G(s)H(s) S3 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] (iii) 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 wgc = 12.0B rad/s). [6 marks)
for where A = B = 9 and F = 8 ; K>5.8 , K=7.9 , Wgc=12.09 rad/s
plz solve in 35 mins i will thumb up
(b) The open-loop transfer function (OLTF) of a unity feedback servomechanism system is given by: K(s + 10) G(s)H(s) S3 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] (iii) 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 wgc = 12.0B rad/s). [6 marks)