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4. Question(zo marks) From understanding to interpreting plots and diagrams are the important techniques in control engineering practice. This question has the following requests. a) A first order dynamics is shown in Figure 24.1. Briefly explain how to determine the transfer function, time constant, and gain for step input. (less than 80 words). [5 marks] b) Two filter frequency responses (Bode diagrams) are shown in Figure Q4.2. 1) Briefly explain the filter's model structure. 2) Briefly explain the filter's functions in low and high frequency bands respectively. [8 marks] c) The root locus of an open loop transfer function is shown in Figure Q4.3. 1) Determine the dynamic model structure. 2) Explain the closed loop stability. (less than 30 words). 3) Determine the constant oscillation frequency and gain (not using Matlab). [12 marks] Step Response 2.5 3 2.5 2 1.5 1 0.5 Photos - Screenshot (39).png Fullscreen ох 15 20 10 Time (sec.) Figure Q4.1 10 8 dB. phase 6 lt It 4 O dB decade -2.83 frequency.90- - 2 -20 dB decade 600 ot * freprency -2 +40 dB decade dB phase +1814 -6 00 0dB decade -90 0: -8 frequency -10 -12 -10 -8 -6 -4 -2 0 2 QUO4 NO 11:34 Figure Q4.2 Figure Q4.3
4. Question (25 marks) From understanding to interpreting plots and diagrams are the important techniques in control engineering practice. This question has the following requests. a) A first order dynamics is shown in Figure Q4.1. Briefly explain how to determine the transfer function, time constant, and gain for step input. (less than 80 words). [5 marks] 10 b) Two filter frequency responses (Bode diagrams) are shown in Figure 24.2. 1) Briefly explain the filter's model structure. 2) Briefly explain the filter's functions in low and high frequency bands respectively. [8 marks] 8 6 c) The root locus of an open loop transfer function is shown in Figure Q4.3. 1) Determine the dynamic model structure. 2) Explain the closed loop stability. (less than 30 words). 3) Determine the constant oscillation frequency and gain (not using Matlab). [12 marks] 4 4 -2.83 2 Step Response 4.5 600 0 4 3.5 3 -2. 2 1.5 -4 0.5 -6 O 15 20 10 Times.) -8 Figure Q4.1 dB phase -10 -12 -10 -8 -6 -4 -2 lt 11 0 2 K@ EN 11:34 0 0 dB decade frequency.90 -20 dB decade Figure Q4.3 frequency dB. +40 Bdecade 0 dB decade phase +1804 +90 0 frequency Figure Q4.2