(a) From the plot of frequency response, the data of an open loop system can be described as the tabulation in Table 1.

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A From The Plot Of Frequency Response The Data Of An Open Loop System Can Be Described As The Tabulation In Table 1 1 (205.78 KiB) Viewed 51 times

(a) From the plot of frequency response, the data of an open loop system can be described as the tabulation in Table 1. Table 1: The data of an open loop system. w (rad/s) 0.01 0.02 0.03 0.06 0.11 0.19 0.34 0.52 |G|dB 21 19.5 16.5 11.5 4 -3 -13 -19 ZGⓇ -32 -52 -76 -101 -125-146-160-165 i. Sketch the Nichols plot on the Nichols chart. (3 marks, C3) ii. Determine from the Nichols chart, the resonant peak value and the bandwidth of the closed loop system. (2 marks, C3) 3 (b) Create a table using the open loop data obtained from the bode diagram of a system shown in Figure 6 for w=0.5, 0.6, 0.7, 0.8, 1.0, 2.0, 3.0 (rad/s). From the table, plot the data on the Nichols chart and determine the parameters below: Bode Diagram 10 Frequency (rad/s) Figure 3: The Bode diagram of a system Magnitude (dB) 40 -135 -180 10 i. Sketch the Nichols plot on the Nichols chart. (3 marks, C3) From the plot, determine the resonant frequency (wr) and the bandwidth (BW) of the closed loop system. (2 marks, C3)