Q3. (a) An automobile speed control system will be necessary for passenger cars travelling on the automatic highways of

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Q3 A An Automobile Speed Control System Will Be Necessary For Passenger Cars Travelling On The Automatic Highways Of 1 (119.42 KiB) Viewed 12 times

Q3. (a) An automobile speed control system will be necessary for passenger cars travelling on the automatic highways of the future. As a design engineer, suggest a control system model for a standard automobile and concisely discuss the possible analysis and design procedure that you would recommend in order to achieve an effective speed control system. [ 7 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. (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] (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]. A=4 B= 5 [6 marks] Full