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A motor modelled by G(S) 8 S +4 is controlled by an analogue compensator 2s + 1 D(s) = K s +3 where the gain K is a posi
Posted: Sun May 15, 2022 4:00 pm
by answerhappygod
- A Motor Modelled By G S 8 S 4 Is Controlled By An Analogue Compensator 2s 1 D S K S 3 Where The Gain K Is A Posi 1 (34.41 KiB) Viewed 55 times
A motor modelled by G(S) 8 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) = Z-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 Da(z) = K 1.5(2-0.90) 2-0.55 [6 marks]