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Back NAME: (0) (i) QUESTION I (a) A transfer function of a power control system is given as X(s) 10 Y(s) (45³ +7) Answer for Question 1(a): E.pdf (0) SKEE 3133 (ii) Give a definition of a transfer function. Draw a block diagram to show the input, output and transfer function of the control system. [2 marks] (b) Briefly discuss 3 (THREE) important design objectives in control system. [3 marks] (c) The human body is a very complex control system. Consider, the human actions required to steer an automobile. The driver's object is to keep the automobile traveling in the centre of a chosen lane on the road. Changes in the direction of the road are compensated for by the driver turning the steering wheel. The driver's objective is to keep the input (the car's desired position on the road) and the output (the car's actual position on the road) as close to zero as possible. The error detector in this case is the brain of the driver.
NAME: This in turn activates the driver's muscles, which control the steering wheel. Power amplification is provided by the automobile's steering mechanism, which controls the position of the wheels. The feedback element such as visual and tactile represents the human's sensors. (1) Interpret the example given by drawing a functional block diagram to represent the control system involved in steering an automobile. Identify the system's configuration, the input and output signals, the transducers, the controller and the plants/process of the system. [3 marks] Answer for Question 1(c)(i): SKEE 3133 (ii) List down TWO (2) disadvantages that you may expect when using the above control system configuration. Answer for Question 1(c)(ii): (1) (ii) [2 marks]
QUESTION 2 Vo(s) 2(a) Obtain the transfer function, (s) of an electrical network shown in Figure Q.2(a). Variables v(1) and v. (1) are the input and output voltages respectively. v(1) SKEE 3133 -4- Answer for Question 2(a): R₁ 0000 Figure Q.2(a) v (1) [8 marks]
NAME: 2(b) Figure Q.2(b) shows a translational mechanical system. The variables x, (t) and x₂(t) refer to linear displacement of the motion toward the left. Assume all initial conditions are zero. SKEE 3133 i) Find the differential equation of motion relating force ) and the output displacements x, (t) and x₂ (t). X₂ (8) ii) Obtain the transfer function; P(s) 7N-m Answer for Question 2(b): 2 N/m 4 N-am 12 kg 8 kg Figure Q.2(b) 0000 5 N/m [12 marks]
Q.1 A drone will be used for a rescue mission. As an engineer, you are requested to choose the most suitable drone for the operation. The aim is to arrive at the exact location as fast as possible. The altitude position responses of three drones (A, B, C) to a unit step input is shown in Figure Q.1. Based on the responses, select the best drone to perform the mission. Provide reasons for the selection by comparing with other drones. Also describe the disadvantage of the selected drone. UTM UTM UTM TM &UTM 7TH SUTH SUTH 8 UT UT Altitude position 14 12 0.8 0.6 0.4 0.2 8UTM UTM UTM 8 UTM &UTM & UTM 8 UTM & UTM & UTM -TM & UTM 25 UTM & UTM 15 Time (seconds) Figure Q.1 UTM UTM @UTM &UTM UTM @UTM UTH &UTM & UTM -17TM 8UTM 10 UTM UTM 123 &UTM & UTM & UTM &UTM & UTM & UTM &UTM & UTM & UTM -TM &UTM marks) 15 &UTM & UT
Q.2 (b) Figure Q.2b shows an RL circuit uses as a filter where v(t) as the input voltage and i(t) is the current. With R = 5 and L = 50 mH, the transfer function UTM & UTM (UTM UT between the current and input voltage is: &UTM & UTM UTM & UTM &UTM & UTM & UTM UTM UTM & UTM UTM UTM 8 UTM &UTM UT UTM UTM 8UUTM Given the input current UTM & UTM & UTM &UTM 8 UTM & UTM 8UTC &UTM & UTM UTM UTM UTM UTM 8 UTM 8 UTM G(s) = "TM 8UTM UTM I(s) V(s) L 0000 (iii) It is found that the TM & UTM Figure M 20 s + 100 i(t)- UTM Uge, v(t) = 4 Volt, show t UTM UTM Identify the system pole, time constant (7), rise time (7₁) and settling time (Ts) of the system response. Subsequently, plot the response of the current. (6 marks) 8 UTM (4 marks) UTM UTM & UTM UTM R 8 UTM & UTM & UTM TM 8 UTM UTM UTM time needs to be reduced by four-folds. If the value of the inductor is fixed, determine the new UTM&Uue of resistor. UTM 8UTM 8 UTM UTM UTMU the ti espeed of the current response is slow, and the settling expression of the 8 UTM SU UTM & UT &UTM & UTM &UTM 8 UTM & UTM 8 UTM UTM UT (3 marks) 8 UTM 8UT UTMUT
9 of 9 UTM UTM UTM UTM UTM 6 SEEE/SKEE/SKEU 3133-FINAL EXAMINATION UTM UTM UTM UTM UTM T UTM & UTM UTM UTM UTM UTM UTM UTM 8 UTM R(s) UTM &UTM UTM UTMUTM Ge(s) = UTM input, when the value of K is 10% less than the the part (ii). 801 ATM e &UTM UTM Figure Q3b UTM 8UTMUTM (iii) For the system in Figure Q.3b, deten UTM a UTM #UTM Controller Ge(s) (s-6)(s+ 4)K (s + 10) (s +30) UTM UTM 8UTM UTM UTM UTM UTM 8UTM UTM UTM UTM Plant G(s) e the steady state error to a unit step AUTO marks) maximum value obtained in UTM & UTM UTM UTM &UTM & UTM UTM UTM UTM C(s) UTM BUT UT marks) & UTM & UT & UTM BUT 6 UTM 8UT