Question 4 A motor modelled by 8 G(s) s+ 4 is controlled by an analogue compensator 2s + 1 D(s) = K s +3 where the gain

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Question 4 A Motor Modelled By 8 G S S 4 Is Controlled By An Analogue Compensator 2s 1 D S K S 3 Where The Gain 1 (37.98 KiB) Viewed 45 times

Question 4 A motor modelled by 8 G(s) s+ 4 is controlled by an analogue compensator 2s + 1 D(s) = K s +3 where the gain K is a positive constant. The control system is to be implemented digitally with a sampling period T = 0.2 seconds. (a) Show that the corresponding z-transfer function of the DC motor preceded by a zero order hold (ZOH) is given by 1.10 Ga(z) = 2-0.45 [6 marks] (b) Use the pole-zero mapping method to show that a digital approximation to the analogue compensator D(s) is given by 1.5(z - 0.90) Daz) = K 2-0.55 Is markel