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4. Question 4 [25 marks] The block diagram of the minor loop of a valve opening actuator is shown in Figure Q4. The disc
Posted: Sun May 15, 2022 5:29 pm
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- 4 Question 4 25 Marks The Block Diagram Of The Minor Loop Of A Valve Opening Actuator Is Shown In Figure Q4 The Disc 1 (97.75 KiB) Viewed 52 times
4. Question 4 [25 marks] The block diagram of the minor loop of a valve opening actuator is shown in Figure Q4. The discrete-time dynamics Ga(z) of the actuator is described by the difference equation yk = 0.9yk-1 + 3x + 2uk-1. yi u Yk C(z) G.(z) Figure Q4 (a) Derive the expression of Ga(z) [5 marks] (b) Use pole placement to design C(z) with the following specifications • inclusion of a fixed integral action • cancellation of the plant zero • placement of all other closed-loop poles at 0 (12 marks] (C) Sketch the response yk of the closed-loop system when the reference ya is a unit step. [8 marks]