A system is described by transfer function H(s). The frequency response for such system is shown in Figure 1.2 (attached). Use the frequency response data to perform the following tasks:  (i) Obtain the gain and phase margins. (ii) Design a lead compensator to increase the phase margin to at least 33°.

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A system is described by transfer function H(s). The frequency response for such system is shown in Figure 1.2 (attached). Use the frequency response data to perform the following tasks: 

(i) Obtain the gain and phase margins.

(ii) Design a lead compensator to increase the phase margin to at least 33°.

(iii) Design a lag compensator to increase the phase margin to at least 43°. 

Magnitude (dB)
Phase (deg)
30
20
10
0
-10
-20
-30
-100
-120
-140
-160
-180
-200
-220
10-¹
10⁰
Frequency (rad/s)
Figure 1.2. Frequency response of system H(s).
10¹
Transcribed Image Text:Magnitude (dB) Phase (deg) 30 20 10 0 -10 -20 -30 -100 -120 -140 -160 -180 -200 -220 10-¹ 10⁰ Frequency (rad/s) Figure 1.2. Frequency response of system H(s). 10¹
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