2. (a) When the system shown in Figure Q2-a-1 is subjected to a unit-step input, the resultant output of the system was

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2 A When The System Shown In Figure Q2 A 1 Is Subjected To A Unit Step Input The Resultant Output Of The System Was 1 (138.35 KiB) Viewed 13 times

2. (a) When the system shown in Figure Q2-a-1 is subjected to a unit-step input, the resultant output of the system was as shown in Figure Q2-a-2. R(s) K Y(s) As² + Bs +C Figure Q2-a-1. EEEE3120 Turn Over 3 Amplitude (V) EI 11 3 2.5 2 1.5 1 0.5 0 1.99 Time (seconds) Figure Q2-a-2. Write the steps and equations required to determine the following: (i) The values of A, B, C, and K. [9 marks] (ii) The values of the open-loop poles. [2 marks] (iii) The rise-time of the closed-loop system. [4 marks] (b) A hydraulic actuator is controlled using a proportional controller, as shown in Figure Q2-b. It is required to design a lag compensator that maintains the same proportional gain (10) and has a pole at -0.01. The compensator has to enhance the closed-loop steady-state error to be 0.04. Write the steps and equations required to design the controller. Then, verify that the compensator allows achieving the design requirement. R(s) + 4 C(s) 10 → s² +6s+13 Hydraulic actuator [10 marks] 2.57 V Figure Q2-b. 2/4 2.02 V 1.98 V EEEE3120