The open loop transfer flunction of a unity feedback system is 40 K G(s) = (s + 2)(s +8)(s + 20) Design a lead compensator using Bode diagram technique for the closed-loop system to satisfy the 20% overshoot, 0.8 seconds settling time and appropriate static error constant of 20. Clearly show the steps and verify your design. (Hint: Draw the Bode magnitude plot with scalo of 1 unit om) 10 dB with a maximum magnitude of 60 dB and the Bode phase plot with scale of 1anit (1.25cm) - 45° with a minimum phase of -270°. Use 0.1 rad/s as the starting frequency.)

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The open loop transfer function of a unity feedback system is
40 K
G(s) =
%3D
(s+2)(s +8)(s + 20)
Design a lead compensator using Bode diagram technique for the closed-loop system to
satisfy the 20% overshoot, 0.8 seconds settling time and appropriate static error constant of
20. Clearly show the steps and verify your design.
(Hint: Draw the Bode magnitude plot with scale of 1 unit (1.25cm) = 10 dB with a maximum
%3D
magnitude of 60 dB and the Bode phase plot with scale of 1unit (1.25cm) = 45° with a
minimum phase of-270°. Use 0.1 rad/s as the starting frequency.)
Transcribed Image Text:The open loop transfer function of a unity feedback system is 40 K G(s) = %3D (s+2)(s +8)(s + 20) Design a lead compensator using Bode diagram technique for the closed-loop system to satisfy the 20% overshoot, 0.8 seconds settling time and appropriate static error constant of 20. Clearly show the steps and verify your design. (Hint: Draw the Bode magnitude plot with scale of 1 unit (1.25cm) = 10 dB with a maximum %3D magnitude of 60 dB and the Bode phase plot with scale of 1unit (1.25cm) = 45° with a minimum phase of-270°. Use 0.1 rad/s as the starting frequency.)
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