(Solved): QUESTION 2 a) A lathe Machine as shown in Figure Q3(i) is a very useful machine that is widely use ...

QUESTION 2 a) A lathe Machine as shown in Figure Q3(i) is a very useful machine that is widely used in many factories. Figure Q3(ii) shows the root locus for the system. Based on current location of poles, evaluate the system performance by determine the settling time $$\left(f_0\right)$$ and the peak time $$\left(l_p\right)$$. (6 marks) rigure Qs(ii) b) As an engineer, you are required to improve the system so that the settling time is reduced by a factor of 3 . i. Suggest a suitable controller to meet this requirement. (1 mark) ii. Design the controller that you have decide in b)i. (14 marks) iii. Implement the designed controller