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QUESTION 2 (a) x(t) 0.03 0 Figure Q3(a) shows the transient response of the translational mechanical system where the f(t) is denoted as the applied force and x(t) is the output response of the system. Calculate the value of M. K and D, assuming the system is initially relaxed and gravitational acceleration is ignored. -1 0 (1) (iii) 1.25 -0.025 ÄN *{(sec) I K 0000 M x(t) f(t) Figure Q3 (a): Transient response of the translational mechanical system Find the open loop transfer function Y(s) that represent this system. C3 [SP2] [7 marks] Calculate the value of M. K and D by assuming the system is initially relaxed and gravitational acceleration is ignored. C2 [SP1] [3 marks] Indicate the estimate location of the poles on s-plane. Briefly analyze the system performance in term of response type, transient response and forced response. C4 [SP3] [5 marks]
(b) Block diagram in Figure Q4(a) has been improved by adding a controller for a system as shown in Figure Q4(b). Analyze the system performance by determine. F(s) + K s(s+1) Y(s) (1) The characteristic equation of the system. Figure Q4(b): Improved closed loop system X(s) C3 [SP1] [3 marks] (ii) K for the system to operate in stable condition and determine the actual location of dominant poles. C3 [SP2] [7 marks] (iii) K for the marginally stable and determine the actual location that cause the situation. (iv) Steady state error for the system when K = 5. C3 [SP2] [6 marks] C4 [SP3] [4 marks]