Consider a system whose Bode plot features a slope of -20 dB/decade at very low frequencies, followed by two distinct corner frequencies that introduce positive slope changes (+20 dB/decade each), and four subsequent corner frequencies that introduce negative slope changes (-20 dB/decade each). Which of the following expressions represents its transfer function?

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Physics · Control Systems

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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K(sτa + 1)(sτb + 1)s(sτ1 + 1)(sτ2 + 1)(sτ3 + 1)(sτ4 + 1)

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Answer 1

K(sτb + 1)s(sτ1 + 1)(sτ2 + 1)(sτ3 + 1)(sτ4 + 1)

Answer 2

K(sτa + 1)(sτb + 1)s(sτ1 + 1)(sτ2 + 1)(sτ3 + 1)(sτ4 + 1)

Answer 3

K(sτa + 1)s(sτ1 + 1)(sτ2 + 1)(sτ3 + 1)(sτ4 + 1)

Answer 4

K(sτa + 1)(sτb + 1)(sτ1 + 1)(sτ2 + 1)(sτ3 + 1)(sτ4 + 1)

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